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