FRACTIONAL INTEGRALS FOR THE PRODUCT OF SRIVASTAVA'S POLYNOMIAL AND --EXTENDED HYPERGEOMETRIC FUNCTION

The main object of this paper is to present certain new image formulas for the product of general class of polynomial and (p, q)--extended Gauss's hypergeometric function by applying the Saigo-Maeda fractional integral operators involving Appell's function [F.sub.3]. Certain interesting sp...

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Published inTWMS journal of applied and engineering mathematics Vol. 9; no. 4; p. 822
Main Authors Suthar, D.L, Mishra, L.N, Khan, A.M, Alaria, A
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2019
Elman Hasanoglu
Subjects
Hypergeometric functions
Integrals
Mathematical research
Operators (mathematics)
Polynomials
India
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Summary:The main object of this paper is to present certain new image formulas for the product of general class of polynomial and (p, q)--extended Gauss's hypergeometric function by applying the Saigo-Maeda fractional integral operators involving Appell's function [F.sub.3]. Certain interesting special cases of our main results are also considered. Keywords: (p, q)--extended Beta function, (p, q)--extended Gauss's hypergeometric function, general class of polynomial, generalized fractional integral operators. AMS Subject Classification: Primary 26A33, 33B15, 33C60; Secondary 44A10, 33C05, 33C90.
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ISSN:2146-1147
2146-1147