Prof. Dr. M. Abul-Ez, Ph. D. - Curriculum Vitae
Education 1972 - 1974 High School, Egypt
Mathematics – Natural Science – English Class.
1974 - 1878 Assiut University Egypt
B.Sc. in Pure and Ap plied Mathematics
1978 - 1983 Assiut University Egypt
M.Sc. in Pure Mathematics (Complex Analysis).
1984 - 1985 English Language, British Council in Cairo
Assiut University, Egypt ( Part of Ph. D. Studies)
1985 - 1987 Assiut University, Egypt ( Part of Ph. D. Studies)
1987 - 1990 Gent University, Belgium (Part of Ph. D. Studies)
Title of thesis: ”Basic Sets in Complex and Clifford Analysis”
Supervisors: Prof. Dr. R. Delanghe and Prof. Dr. K. Sayed
Academic
Experience
1978 - 1983 Assiut University Instructor
Department of Mathematics, Faculty of Science (96 hours teaching/year)
1983 - 1987 Assiut university, Egypt Teaching Assistant
Faculty of Science, Math. Dept.
1987 - 1990 Seminar of Algebra and Functional Analysis Researcher
University of Gent , Belgium
1990 - 1991 King Abdul –Aziz University, Saudi Arabia Assistant Professor
Faculty of Education, Math. Dept. (Lecturer)
1991 - 1993 Assiut University, Egypt Assistant Professor
1993 - 1995 University of Parma, Italy Visiting Professor
1995 - 1996 South Valley University, Egypt Associate Professor
1996 - 2000 Faculty of Education, Sultanate of Oman Associate Professor
2000 - 2002 F a culty of Education, Sultanate of Oman Chairman of Math. Dept.
2002 - 2009 King Khalid University, Abha, Faculty for Girls Professor
2009 - Now Sohag University, Math. Dept. Egypt Professor
2011 - Now Sohag University, Math. Dept. Egypt Chairman of Math. Dept.
Research
Interests
• Complex Analysis (Approximation Theory)
• Clifford Analysis ( Theory of Monogenic Functions) and (Polynomial
Bases Problem)
• Special matrix functions and special monogenic functions.
• Differential Equations.
• Computer Science
Contact
Information
Sohag University, Faculty of Science, Phone: +20934602536
Department of Mathematics and Computer Science, Fax: +20934601159
Sohag 82524, Egypt. Mob. +201118330315, Whatsaap.+201006337049 web.info. Sohag Uinv.
Building no.8, 6th floor, Flat 23 mabulez@sohag.edu.eg
Nasser City, 82524 Sohag, Egypt mabulez56@gmail.com
Administrative
Positions
• Manager of Communication net work and Information Center, South Valley University, Egypt (1995-
1996).
• Chairman of the mathematics Department, Sultan Qaboos University, Sultanate of Oman (2000 – 2002).
• Chairman of the mathematics Department, Sohag University, Egypt. (2011 – Now).
• Chief Information Officer, Sohag University, Egypt (2010 – Now).
• A Member of the National Committee for the development for Information and Communication
Technology at Egyptian Universities (2010 – Now).
Research
Activities
and grants
• Doctoral Research Grant, Mission at State University of Gent, Belgium (Ph. D. Studies 19987 - 1990)
• Postdoctoral Research Grant at University of Parma, Italy (1993 – 1995).
• Scholarship at ICTP Center, Trieste, Italy (3 months during 1995).
• Travel Grant, from Adam Mickiewicz University, at Poznan, Poland, (one month during 1995). Invitation
by Prof. Dr. J. Kakol
• Visiting Professor, Ghent University, Belgium, (one month during June 1996). Invitation by Prof. Dr.
R. Delanghe, (Chairman of Clifford Research Group at Gent University).
• Visiting Professor, Ghent University, Belgium, (Two Weeks Sept. 2011). Invitation by Prof. Dr. F.
Brackx. (Chairman of the Math. Department, Gent University).
• Head of the Organizing Committee of the first International Conference of Mathematics and Information
Security – Sohag University - Egypt. October. 2009.
• Associate Editor of the Journal Clifford Analysis, Clifford Algebra and Applications, UK.
• Associate Editor of the Bull. of Faculty of science, Sohag university , Egypt.
• A member of the Egyptian Mathematical Society (1993 – Now).
• Served as a Chairman of sessions of the young researcher conference, Sohag University, Egypt.
• 10 M.Sc.Theses supervision.
• 9 Ph. D. Theses supervision.
Attendance
of Conferences
1981 • The 16 annual Conference, Cairo University, 14-17 Dec, 1981.
1983 • 8th International Conference, A'in Shams University, Cairo, Egypt, 26-31 March1983.
1986 • Symposium on Clifford analysis and Applications, Seminar of Algebra and functional
analysis, Gent university, Belgium.
1989 • 1st International Conference on Clifford Algebra and applications, Montpellier univrsity,
France.
1991 • 1st International Conference on Mathematics, Mathematics Department, Faculty of Science,
Assiut University, Egypt
1995 • ICTP International Meeting, Trieste, Italy.
2008 • Bahrain University, Symposium on M a t h e m a t i c s , Bahrain
2009 • International Conference on Analysis, Sultan Qaboos University, Muscat, Oman.
2009 • 1st International Conference on Mathematics and Information Security, Sohag University,
Egypt.
2010 • International Conference on Mathematics, French Cultural Institute, Cairo, Egypt.
2010 • 4th International Congress on b a s i c science, Teiba University, Medinah, Saudi Arabia.
2010 • ICNAAM2010 International Conference o f Mathematics, Clifford session, Rhodes, Greece.
2010 • 8th International Conference o n C l o u d C o m p u t i n g , Institute of Information Technology,
Cairo, Smart Village.
2010 • Cairo University, Symposium on S c i e n t i f i c R e s e a r c h , C a i r o , E g y p t
2011 • 9th International Conference on Clifford Algebra and their applications, Bauhaus University of
Weimar, July 15-20, Germany.
2011 • 2nd International Conference on Mathematics and Information Science, Sohag University, Egypt.
2012 • Alexandria University, Symposium on Analysis, Alexandria, Egypt.
2012 • 8th International Conference on Basic Science, Al-Azhar University, Egypt.
2012 • 5th International Conference on science, Um Al-Qura University, Mecca, Saudi Arabia.
2013 • ICNPAA2012 world congress, 9th International Conference on Mathematical Problems in
Engineering, Aerospac and Sciences, July 10-14, Wien, Austria.
2012 • 3rd International conference of Math.& information Sci., Egyptian Math. Soci, Luxor, Egypt
2014 • International conference on Operator theory and applications, Tech. Institute for phys. & Math.,
Lisboa, Purtugal.
2014 • International Conf. on applied math.& advanced Phys.,Yields university, Istanbul, Turkey.
2015 • 4th International Conf. Math.& Information Sci., Zewailcity for Sci. & Thech., Egypt
2016 • International Conf. Math. Appl., MSA University, Egypt
2018 • National Conf. of Scientific Research , Cairo 24-25 March, 2018, Egypt
2018 • 20th International Conf. Applied Math., Complex Analysis and Mathematical Economics,
Montreal, 24-25 May 2018, Canada
2018 • 20th International Conf. Complex analysis, Complex numbers & Funs. in Mathematical Sci, 10-11
October, 2018, Chicago, USA
2018 • 8th International Conf. Mathematical Sci, 8-10 Feb., 2019, 6th Oct. University, Egypt.
2019 • International workshop on Transmutation operators and related topics, 17-18 Sept., 2019, Civestav,
Queretaro, Mexico.
Publications • 62 articles published in ISI journals.
• 10 articles accepted in other refereed journals indexed in international databases.
• 15 articles submitted. (Pleae see the list of publications)
• 12 Books in Arabic. (Please see the list of the books)
•
Other
Professional
Activities • Training (workshops):
• The Winter School For Teaching Mathematics by Using Computer, At Suez Canal University,
Egypt, 5- 26 Jan. 1992
• Course on Basics of Online Database Searching, Egyptian National Scientific & Technical
Information Network, 7-11 April 1996.
• Workshop about the use of the Video Conference, At Sohag University, Egypt, One day 2010.
• Head of the Arab Students Training Committee, in the framework of Student Exchange Program.
• Head of the Technical Committee for Establishing the infrastructure of the Information Network,
Sohag University, Egypt.
• A member of the Curricula Development Committee for the Under-graduate Courses at Faculty of
Education, Sohar, Sultnate of Oman. (2000 – 2001).
• A one week training on the information security, Leadership & Management Development Center,
8-12 /11/2015.
• Soft skills course, Microsoft Program, 2015.
• K n E University Rankings Workshop (Egyptian Knowledge Bank) Cairo , 22-23 May 2016.
• K n E University Bibliometrics Refresher Course (Egyptian Knowledge Bank) Cairo, 24May
2016
• The ASREN, for Education and Science, The 7th meeting 3-4 Dec. 2017.
• 11th international conference and Exhibition on e-Learning and Education Technology, Towards a
smart Learning society, ICT-Learn 2017.
• Member of the following professional societies:
• Egyptian Mathematical Society
• Associate Editor and Reviewer of Journal of Clifford Analysis and Clifford Algebra
with Applications, CSP Cambridge, UK.
• Associate Editor and Reviewer of Bulletin of Faculty of Science, Sohag University,
Egypt
• Reviewer for the following journals:
• Bulletin of the Faulty of Science, Sohag University, Egypt.
• Journal of Mathematical Analysis and Applications.
• Journal of the Egyptian Mathematical Society.
• Journal of Applied Mathematics and Information Science.
• The Arabian Journal of Science and Engineering (Springer)
• IJWMIP
• International Journal of numerical methods for heat and fluid flow.
• Arbitration for the Theses & Nomination for Prizes and appointments:
• M. Sc. Thesis on Clifford Analysis, King Abdul-Aziz University, Saudi Arabia 2005.
• Ph. D. Thesis on Comlex Analysis, King Faisal Univrsity, Saudi Arabia 2006.
• M. Sc.Thesis on Clifford Analysis, King Khalid Univrsity, Saudi Arabia 2008.
• Ph. D. Thesis on Comlex Analysis, Dammam Univrsity, Saudi Arabia 2006.
• Ph. D.Thesis on Functional Analysis, Al-Azhar University, Assiut, Egypt. 2012.
• M. Sc.Thesis on Functional Analysis, Assiut Univrsity, Egypt 2012.
• Ph. D. Thesis on Functional Analysis, Al-Azhar University, Assiut, Egypt. 2012.
• Referee for Clifford Prize 2017.
• Referee for Ph. D. thesis. On Complex Analysis, Mansura University Dec. 2017
• Courses Taught:
1-Undergraduate courses
• Differential and Integral Calculus
• Differential Equations
• Matix Algebra
• Complex analysis
• Functional analysis
• Real analysis 1& 2.
• Special Functions.
1-Graduate courses
• Measure Theory and Lebesgue Integration.
• Special Functions.
• Special Topics in Analysis.
• Theory of Infinite Matrices.
• Theory of Functions of Hyper-complex Variables.
Books
(C0-Author) • Basic of Complex Analysis, (Arabic Edition – Dar Hearaa Publishing Co. Jeddah- Saudi 2004)
• Basic of Real Analysis Part 1, (Arabic Edition – Dar Kherrije Publishing Co. Riadh- Saudi 2007)
• Basic of Real Analysis Part 2, (Arabic Edition – Dar Hearaa Publishing Co. Jeddah- Saudi 2006)
• Numerical Analysis, (Arabic Edition – Al-Rushd Library, for Publishing - Saudi 2006)
• Tensors and Vector Analysis, (Arabic Edition – Dar Hearaa Publishing Co. Jddah- Saudi 2005)
• Algebra of Series, (Arabic Edition – Dar Heraa Publishing Co. Jddah- Saudi 2005)
• Differential Calculus 1, (Arabic Edition – Motanabbi Library for Publish. Dammam- Saudi 2009)
• Calculus of Integration, (Arabic Edition – Submitted for Publication)
• Introduction to Real Analysis, (Arabic Edition Translation of Bartle book)
• Translation of Thomas's Calculus 2019
• Special Functions
Personal • Language Skills: Arabic (native), English (advanced), Italian (advanced)
• Information Technology Skills: I C T P (Information & Communication Technology Project), for
developing native university.
Ph. D. Thesis 1990, Title "Basic Sets in Complex and Clifford Analysis" Carried out at the State university of
Ghent, Belgium, Supervised by, R. Delanghe. Abstract published in: Advances in
Applied Clifford Algebras, vol.;1(1), Mexico, December 1991, p106.
Abstract of Ph. D. Thesis:
The theory of bases in function spaces plays an important role in mathematics and its applications, e.g. in
approximation theory and mathematical physics.
The Ph. D. thesis is entirely devoted to the study of bases in spaces of holomorphic functions in one or two
complex variables and spaces of monogenic functions. It is divided into three parts, namely
 Part I: Basic sets in complex analysis,
 Part II: Basic sets in Clifford analysis,
 Part III: Nuclear Frechet spaces with basis.
Each of those parts is in its turn subdivided into chapters.
We wish to point out that the results obtained in this last part III might form the starting point of further
investigations concerning basis transforms in more general locally convex spaces.
List of Publications:
Papers for M. Sc. Degree.
1- K. Sayyed and M. Abul-Ez; "Effectiveness of power composite sets of polynomials of two complex
variables and normalizing conditions", The 16-th. Annual Conf. in Statistics & Computer Sci., Operations
and Mathematics, Cairo University, 14-17 Dec.(1981) vol. 16, no 6.
2- K. Sayyed and M. Abul-Ez; "Linear substitutions for functions and sets of polynomials of two complex
matrices", Bull. Fac. Sci., Assiut University, vol. 11(1982), no. 1, p. 45-51 (MR. 85g; 32001).
3- K. Sayyed and M. Abul-Ez; "Differential operator sets of polynomials". Eights International Congress of
Statistics, Computer Sci., Social and demographic Research, Ain-Shams University, Cairo, 26-31 March
(1983). Vol II(A).
4- K. Sayyed and M. Abul-Ez; "Maximum modulus sets of polynomials of two complex variables", Bull. Fac.
Sci., Assiut University, 12 (2), p.67-73 (1983). (MR.87j; 32005).
Papers for Ph.D. Degree.
5- M. Abul-Ez and D. Constales; "Basic sets of polynomials in Clifford analysis", Complex Variables J., (USA)
vol. 14(1990), p.177-185.
6- M. Abul-Ez and K. Sayyed; "Integral operator sets of polynomials of two complex variables", Simon Stevin,
(Belgium) vol. 64, no.2, (1990), p. 157-167.
7- M. Abul-Ez and K. Sayyed; "On sets of polynomials associated with entire functions", Functiones et
Approximatio, Fasc. XIX, UAM, (Poland), (1990), p.149-158.
8- K. Sayyed and M. Abul-Ez; "Power similar sets of polynomials (I)", Assiut First International Conference,
Assiut, Egypt, 12-14 Feb. (1990), part (II), p105-114.
9- K. Sayyed and M. Abul-Ez; "Composite sets of polynomials associated with entire functions", Assiut First
International Conference, Assiut, Egypt, 12-14 Feb. (1990), part (II), p129-137.
10- M. Abul-Ez and D. Constales; "Linear substitution for basic sets of polynomials in Clifford analysis",
Portugaliae Mathematica, (Portugal), vol. 48, Fasc, 2, (1991), p.143-154.
11- J. Cnops and M. Abul-Ez; "Basis transforms in nuclear Frechet spaces", Simon Stevin, (Belgium), vol.67,
(1993), no.1-2 (March-June1993), p.145-156.
Papers for associate professor appointment.
12- M. Abul-Ez; "Inverse sets of polynomials in Clifford analysis", Arch. der Math. (Germany), vol.58, (1992), p.
561-567.
13- M. Abul-Ez; "On the addition of basic sets of special monogenic polynomials", Simon Stevin, A quarterly J.
Pure Appl. Math. (Belgium), vol. 67, (1993), no. 1-2, p.15-25.
14- M. Abul-Ez; "Power similar sets of polynomials (II)", Bul. Fac. Education, Ain-Shams University (Cairo), vol.
18, (1993), p.85-96.
15- M. Abul-Ez; "On representation of functions regular at the origin by power similar sets of polynomils",
Functiones et Approximatio, Fasc. XXII, UAM, (1993), (Poland) p. 115-121.
16- M. Abul-Ez and M. S. Metwally; "On derived and integrated sets of polynomials in two complex
variables", Bull. Fac. Sci. Ain-Shams University, Cairo, vol. 31, (1993), p. 31-43.
17- M. Abul-Ez and J. Kakol; "Mode of increase of power similar sets of polynomials", Caribbean J. Math.
Comp. Sci. (America), 3(1, 2), (1993), p. 27-33.
18- M. Abul-Ez; "Product simple sets of polynomials in Clifford analysis", Rivista di Matematica della Univ.
Parma, (Italy) vol. (5)3, (1994), p.238-293.
Papers for professor appointment.
19- M. Abul-Ez; "On the representation of Clifford valued functions by the product system of polynomials",
Complex Variables J. (USA), (1996), vol 29, p. 97-105.
20- M. Abul-Ez; "On the effectiveness of basic sets of two complex variables in Frechet spaces", Caribbean J.
Math. Computer Sci. (West Indies Univ.) 6, (1&2), (1996), p.1-9.
21- M. Abul-Ez; "Exponential base of special monogenic polynomials", Pure Math. And Appl. (Hungary), vol. 8
(1997), p.137-146.
22- M. Abul-Ez; "Bessel polynomial expansions in spaces of holomorphic functions", J. Math. Analysis and
Appl. (USA), vol. 221, no.1, May 1, (1998), p. 177-190.
23- M. Abul-Ez; "Hadamard product of bases of polynomials in Clifford analysis", Complex Variables J. (USA),
(2000), vol. 43/2, p. 109-128.
24- M. Abul-Ez and D. Constales; "The square root base of polynomials in Clifford analysis", Arch. der Math.
(W. Germany), 80, (2003), p. 486-495.
25- M. Abul-Ez; "A study on the space of entire functions having finite growth", The National Academy science
Letters, (India), vol. 25, no. 3&4, March-April 2002.
26- M. Abul-Ez and D. Constales; "On the convergence properties of basic series representing special
monogenic functions", Arch. Math., (Germany), vol. 81, 2003, 62-71.
Papers after professor appointment.
1- M. Abul-Ez, M. Zayed, and A. Youssef, (2020), Conformable fractional Bessel functions with applications,
Submitted
2- M. Abul-Ez, M. Zayed, and A. Youssef, (2020), Further study on the conformable fractional Gauss
hypergeometric function, Submitted
3- M. Zayed, M. Abul-Ez, and J. Morais, (2020), On the Hadamard's three-hyperballs theorem and its
applications in Whittaker-Cannon hypercomplex theory", Submitted (J. Math. Analysis and appl.)
4- M. Zayed, H. Abd-Elmageed, M. Abdalla and M. Abul-Ez; "Further investigations on the two variables
second Appell hypergeometric matrix function", Submitted.
5- M. Abul-Ez, M. Abdalla and A. Al-Ahmadi, (2020); "On the representation of monogenic functions by
product bases of polynomials", Filomat 34:4, p. 1205-1218.
6- M. Abul-Ez and M. Zayed, (2020) ;"Criteria in Nuclear Frechet spaces and Silva spaces with refinement of
the Cannon-Whittaker theory ", To appear in J. Function spaces.
7- M. Abul-Ez, M. Zayed, A. Youssef and M. De La Sen, (2020), On conformable fractional Legendre
polynomials and their convergence properties with applications", To appear in (Alexandria Engineering J.).
8- M. Zayed, M. Hidan, M. Abdalla, M. Abul-Ez and; (2020) "Fractional order of Legendre-type matrix
polynomials", to appear in (Advances in Difference Equations).
9- M. Abul-Ez, H. Abd-Elmageed, M. Hidan and M. Abdalla, (2020), On the Growth Order and Growth Type
of Entire Functions of Several Complex Matrices, Journal of Function Spaces, vol.2020, Article ID 4027529,
http://doi.org/10.1155/2020/4027529, (IF 1.005---(9290)).
10- M. Zayed, M. Abul-Ez, M. Abdalla and N. Saad, (2020), On the Fractional Order Rodrigues Formula for the
Shifted Legendre-Type Matrix Polynomials, Mathematics, MPDI, 8, 136; https://www.mdpi.com/2227-
7390/8/1/136 (IF 1.105---(8888).
11- G. M. Ismail., M. Abul-Ez and N. M. Farea, (2020), An accurate analytical solution to strongly nonlinear
differential equations, Applied Mathematics & Information Sciences, Vol. 14, no 1, 2020, pp. 141-149,
doi:10.18576/amis/140118
12- G. M. Ismail, M. Abul-Ez, N. M. Farea and N. Saad, (2019), Analytical approximations to nonlinear
oscillation of nanoelectro-mechanical resonators, European Physical Journal Plus, 134 ,1-9. (IF2.4)
13- M. Abdalla, M. Abul-Ez and A. Al-Ahmadi (2019), Further results on the inverse base of axially monogenic
polynomials, Bull. Malays. Math. Sci. Soc. DOI 10.1007/s40840-017-0549-x. (IF 0.9)
14- G. M. Ismail, M.Abul-Ez, and M. M El-Moshneb, (2019), Analytical periodic solution for the Duffingharmonic
oscillator, accepted for publication in International Journal of Differential Equations and
Applications.
15- M. Abdalla and M. Abul-Ez, (2018), The growth of generalized Hadamard product of entire axially
monogenic functions, Hacettepe J. Math. Stat., 47, 1-9
16- M. Abdalla, M. A. Abul-Ez and J. Morais, (2018), On the Construction of Generalized Monogenic Bessel
Polynomials. Math Meth Appl. Sci.; 41 (18), 9335-9348
17- H. Abd-Elmageed, M. Abdalla, M. Abul-Ez and N. Saad, (2018), Some results on the first Appell matrix
function, Accepted in Linear and Multilinear Algebra Doi:10.1080/03081087.2018.1502254 .
18- A. M. Elaiwi, E. Kh. Elnahary, A. M. Shehata, and M. Abul-Ez (2018), Stability of delay-distributed HIV
infectionmodels with multiple viral producer cells, J. KSIAM ,22(1), 29–62.
19- M. Abdalla, M. A. Abul-Ez and H. Abd-Elmageed (2017), Operational formulae of the multi variable
hypergeometric matrix functions and related matrix polynomials, General Letters in Mathematics, 3(2),
81-90.
20- Z. Kishka, M. Abul-Ez, A. Abdel-Rady and H. Abd-Elmageed (2017), Cauchy Integral Formula for Matrix
Functions. Transnational Journal of Mathematical Analysis and Applications, 14, 1-9.
21- AM Shehata, AM Elaiw, E Kh Elnahary, M Abul-Ez (2017), Stability analysis of humoral immunity HIV
infection models with RTI and discrete delays, International Journal of Dynamics and Control, 5, 811-831
22- M. Abul-Ez, D. Constales and M. Abul-dahab, (2015), Reverse Generalized Bessel Matrix Differential
Equation, Polynomial Solution, and Their Properties, Math. Meth. Appl. Sci. 2015, 38 1005–1013
23- M. Abul-Ez, G. M. Ismail and M. El-Moshneb (2015), Analytical solution for free vibration of strongly
nonlinear oscillator’s, Information Science letters, vol. 4 (2), 101-105
24- M. Abul-Ez, D. Constales, J. Morais and M. Zayed; (2014), Hadamard Three-Hyperballs Type Theorem and
Overconvergence of Special Monogenic Simple Series, J. Math. Anal. Appl. 412 , 426–434
25- L. Aloui, M. Abul-Ez and G. F. Hassan; (2014) Bernoulli special monogenic polynomials with the difference
and sum polynomial bases, Complex Variables and Elliptic Equations 59(5) , 316–326.
26- M. Abul-Ez and R. Almeida; (2013) "On the lower order and type of entire axially monogenic functions",
Published on line 5 July 2012, Results in Mathematics. vol., 63 (3), June 1, 2013.
http://www.springerlink.com/content/5610608075w37t6m/,
27- Z. Kishka, M. Abul-Ez, M. Saleem and H. Abd-Elmageed, (2013), "L'Hospital Rule for matrix functions",
Journal of the Egyptian Mathematical society Society, 21, 115-118.
28- M. Abul-Ez, M. Saleem, H. Abdel-Mageed and J. Morais; "On polynomial series expansions of Cliffordian
functions in open balls and at the origin", CLIFFORD ANALYSIS, CLIFFORD ALGEBRAS AND THEIR
APPLICATIONS (CACAA) - www.cliffordanalysis.com vol. 1, no. 3, pp 291-307, 2012, CSP - Cambridge, UK;
I&S - Florida, USA, 2012
29- M. Zayed, M. Abul-Ez and J. Morais, (2012) "Generalized Derivative and primitive of Cliffordian bases of
polynomials constructed through Appell monomials", Computational Methods and Function Theory 12,
2012, p.501-512.
30- M. Abul-Ez, D. Constales, M. Zayed, (2012) The -th root base of non-algebraic simple base of
polynomials in Clifford setting, ICNPAA 2012 Congress, Vienna 10-14 July 2012, AIP Proceeding.
31- M. Abul-Ez, M. Saleem and M. Zayed; (2011) "On the representation near a point of Clifford valued
functions by infinite series of polynomials", Proceeding of the 9th International Conference on Clifford
Algebras and their Applications, ICCA9, Weimar, Germany, 15-20 July 2011.
32- M. Abul-Ez and R. Almeida; "On the lower order of entire special monogenic functions", American
Institute of Physics (AIP), Proceeding (ICNAAM 2011), Greece, Sept. 2011.
33- L. Aloui, M. Abul-Ez and G. F. Hassan; (2010) "On the order of the difference and sum bases of
polynomials in Clifford setting"; Complex Variables J. and Elliptic Equations. 1747-6941, 2010.
34- M. Saleem, M. Abul-Ez and M. Zayed (2010) "On polynomial series expansions of Cliffordian functions"
(Extended Abstract), AIP Proceeding (ICNAAM 2010, Rodes, Greece, Sept. 2010), p.1523-1526. Full paper
appeared in Mathematical Methods in Applied Sciences, vol. 35, Iss. 2, pp.134-143, 2011.
35- M. Abul-Ez, D. Constales and M. Zayed; (2010) "Order of magnitude of coefficients of Clifford polynomials
in simple bases", Inter. Conf. on Analysis and Appl., Jan 24-26, Sultan Qabus Univ., Oman.
36- M. Abul-Ez and M. Zayed; (2009) "On the convergence of power similar bases of polynomials in Clifford
analysis", Int. J. Contemp. Math. Sci. vol 4(1), (2009) 1-15.
37- M. Abul-Ez, and M. Zayed; (2009) "Similar transposed bases of polynomials in Clifford analysis", Applied
Math. & Information Science, 4(1) (2009), P. 63-78.
38- M. Abul-Ez; (2003) "Similar functions and similar bases of polynomials in Clifford setting", Complex
Variables, vol.48, no.12, (2003), p.1055-1070.
Non-Refereed Publications:
1- M. Abul-Ez and A. Al-Ahmadi; "Further investigations on Hadamard product of bases of polynomials of
special monogenic polynomials", Not yet Submitted
2- M. Zayed and M. Abul-Ez; "On the (p, q)-growth of entire axially monogenic functions", Submitted
3- M. Zayed and M. Abul-Ez; "A study on log-growth order and type of entire axially monogenic functions",
Submitted
4- M. Abul-Ez; "On the monogenicity of composite functions having values in Clifford algebra", Under
preparation.
5- M. Abul-Ez; "Further results on the addition basic sets in Clifford setting", Submitted.
6- M. Abul-Ez and M. zayed; "A new criterion to generalize Whittaker's results on polynomial bases in
Clifford analysis", Submitted
7- I. Cacao, M. Abdalla and M. Abul-Ez; Ruscheweyh Hyper-Differential Operator Base of Special Monogenic
Polynomials. Under preparation
8- M. Abul-Ez, H. Abd-Elmageed and J. Morais, "General exponential bases of axially monogenic
polynomials", Submitted
9- M. Abul-Ez and M. Zayed; "On the representation of functions of two complex matrices by bases of
polynomials"; Submitted.
10- M. Abul-Ez and M. Zayed; "Over-convergence of axially monogenic simple series."; Submitted.
11- M. Abul-Ez, and M. Zayed; "On the representation near a point of Clifford valued functions by infinite
series of polynomials", Submitted.
12- M. Abdalla, Z. M. Kishka, M. A. Abul-Ez and H. Abd-Elmageed; "On The Mode of Increase for Entire
Functions of Several Complex Matrices in Hypersphere" , Submitted.
13- M. Abul-Ez, Z. M. Kishka, A. Abdel-Rady and H. Abd-Elmageed, On the Logarithmic Order and
Logarithmic Type of Entire Matrix Functions
14- M. Abul-Ez, Z. M. Kishka, A. Abdel-Rady and H. Abd-Elmageed, Extracted papers from Ph.D. Hala
Works in Differential Equations
1. G. M. Ismail, M. Abul-Ez, N. M. Farea and N. Saad, Analytical approximations to
nonlinear oscillation of nanoelectro-mechanical resonators, European Physical Journal
Plus, 134 (2019) 1-9.
2. M. Abul-Ez, G. M. Ismail and M. M El-Moshneb, Analytical solutions for free vibration of
strongly nonlinear oscillators, Information Sciences Letters, 4 (2015), 101-10.
3. G. M. Ismail, M. Abul-Ez and N. M. Farea, An accurate analytical solution to strongly
nonlinear differential equations, Applied Mathematics and Information Science, 14(2)
(2020), 141-149.
4. G. M. Ismail, M. Abul-Ez, Hijaz Ahmad and N. M. Farea, Analytical study of the vibrating
double-sided quintic nonlinear nanotorsional actuator using higher-order Hamiltonian
approach, Submitted for publication in Journal of Low Frequency Noise, Vibration &
Active Control.
5. G. M. Ismail, M. Abul-Ez and N. M. Farea, Nonlinear vibration analysis of a two-massspring
system by using an analytical approximate technique.
6. G. M. Ismail, M. Abul-Ez and N. M. Farea, Higher order harmonic balance method for
solving free vibration of systems with linear and nonlinear stiffness.
7. G. M. Ismail, M. Abul-Ez and N. M. Farea, Application of the modified higher order
energy balance method to study vibrating double-sided quantic nonlinear nano-torsional
actuator.
8. G. M. Ismail, M. Abul-Ez., M. M El-Moshneb and J. Morais, An approach to solving a
nonlinear free vibration equation arising in the microelectromechanical system.
9. G. M. Ismail, M. Abul-Ez and M. M. El-Moshneb, Analytical solution for free vibrations
of strongly nonlinear generalized Duffing oscillators.
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Research Proposals in the following topics:
1- Special Functions
2- On Growth of Special Monogenic Functions.
3- Polynomial bases problems for bi-complex variables
4- Polynomial bases problems in hyper-elliptic domains
5- On Geometric function theory in hyper-complex setting.
6- Boundary value problems in quaternionic analysis.
7- Fractional calculus and applications.