ali2013269

Ali Mohammed Youssef

معيد -

كلية العلوم

العنوان: قسم الرياضيات

252

إعجاب
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2021 | الكلمات المفتاحية Special functions; Gauss hyper,
Further study on the conformable fractional Gauss hypergeometric function
THIS ARTICLE PRESENTS AN EXHAUSTIVE STUDY ON THE CONFORMABLE FRACTIONAL GAUSS HYPERGEOMETRIC FUNCTION (CFGHF). WE START BY SOLVING THE CONFORMABLE FRACTIONAL GAUSS HYPERGEOMETRIC DIFFERENTIAL EQUATION (CFGHDE) ABOUT THE FRACTIONAL REGULAR SINGULAR POINTS X=1 AND X=∞. NEXT, VARIOUS GENERATING FUNCTIONS OF THE CFGHF ARE ESTABLISHED. WE ALSO DEVELOP SOME DIFFERENTIAL FORMS FOR THE CFGHF. SUBSEQUENTLY, DIFFERENTIAL OPERATORS AND CONTIGUOUS RELATIONS ARE ... إقراء المزيد

2021 | الكلمات المفتاحية Conformable fractional differe,
Further Developments of Bessel Functions via Conformable Calculus with Applications
The theory of Bessel functions is a rich subject due to its essential role in providing solutions for differential equations associated with many applications. As fractional calculus has become an efficient and successful tool for analyzing various mathematical and physical problems, the so-called fractional Bessel functions were introduced and studied from different viewpoints. This paper is primarily devoted to the ... إقراء المزيد

2020 | الكلمات المفتاحية Special functions; Legendre po,
on conformable fractional legendre polynomials and their convergence properties with applications
Abstract The main objective of this paper is to give a wide study on the conformable fractional Legendre polynomials (CFLPs). This study is assumed to be a generalization and refinement, in an easy way, of the scalar case into the context of the conformable fractional differentiation. We introduce the CFLPs via different generating functions and provide some of their main ... إقراء المزيد

2020 | الكلمات المفتاحية Special functions; Legendre po,
On conformable fractional Legendre polynomials and their convergence properties
ABSTRACT The main objective of this paper is to give a wide study on the conformable fractional Legendre polynomials (CFLPs). This study is assumed to be a generalization and refinement, in an easy way, of the scalar case into the context of the conformable fractional differentiation. We introduce the CFLPs via different generating functions and provide some of their main ... إقراء المزيد

2016 | الكلمات المفتاحية Infinite series - Sequences -i,
Research article
مادة المقال والبحث SOME TOPICS OF REAL AND FUNCTIONAL ANALYSIS CONTENTSACKNOWLEDGMENT 9I REAL ANALYSIS 111 THE PROPERTIES OF REAL NUMBERS 131.1 THE ALGEBRAIC PROPERTIES OF REAL NUMBERS . . . . . . . . . . . . . 131.2 THE ORDER PROPERTIES OF R . . . . . . . . . . . . . . ... إقراء المزيد

1979 | الكلمات المفتاحية Univalent functions - Multiuni,
AN INVITATION TO THE STUDY OF UNIVALENT AND MULTIVALENT FUNCTIONS
ABSTRACT. We begin with the basic definition and soma very simple examples from the theory of univalent functions. After a brief look at the literature, we survey the progress that has been made on certain problems in this field. The article ends with a few open questions. إقراء المزيد

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