Rational Approximations to Generalized Hypergeometric Functions [PDF]
Mathematics of Computation, 1965 Jerry L. Fields
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International Journal of Mathematics for Industry, 2023 Fractional kinetic equations are of immense importance in describing and solving numerous intriguing problems of physics and astrophysics. Inequalities are important topics in special functions.
Ankita Chandola, Rupakshi Mishra Pandey
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Implementation of summation theorems of Andrews and Gessel-Stanton
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 Generalized hypergeometric functions and their natural generalizations in one and several variables appear in many mathematical problems and their applications.
M.I. Qureshi, T.R. Shah
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An interesting integral involving product of two generalized hypergeometric function
Boletim da Sociedade Paranaense de Matemática, 2022 In this research note, an interesting integral involving hypergeometric function has been evaluated in terms of gamma function. It is further used to evaluate an integral involving product of two generalized hypergeometric functions.
Harsh Vardhan Harsh +3 more
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Representations and Inequalities for Generalized Hypergeometric Functions [PDF]
Journal of Mathematical Sciences, 2015 13 pages, no ...
Dmitrii Karp, Dmitrii Karp
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ON A NEW GENERALIZED BETA FUNCTION DEFINED BY THE GENERALIZED WRIGHT FUNCTION AND ITS APPLICATIONS
Malaysian Journal of Computing, 2021 Various extensions of classical gamma, beta, Gauss hypergeometric and confluent hypergeometric functions have been proposed recently by many researchers. In this paper, further generalized extended beta function with some of its properties like summation
Umar Muhammad Abubakar, Saroj Patel
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Applications of Lehmer’s Infinite Series Involving Reciprocals of the Central Binomial Coefficients
Journal of Function Spaces, 2022 The main objective of this paper is to establish several new closed-form evaluations of the generalized hypergeometric function Fq+1qz for q=2,3,4,5. This is achieved by means of separating the generalized hypergeometric function Fq+1qz (q=2,3,4,5) into ...
B. R. Srivatsa Kumar +2 more
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GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS [PDF]
Honam Mathematical Journal, 2011 The main object of this paper is to present generaliza-tion of extended beta function, extended hypergeometric and con-uent hypergeometric function introduced by Chaudhry et al. andobtained various integral representations, properties of beta func-tion, Mellin transform, beta distribution, dierentiation formulas, transform formulas, recurrence ...
Yong Sup Kim +3 more
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Connection Problem for the Generalized Hypergeometric Function
Funkcialaj Ekvacioj, 2021 We solve connection problem between fundamental solutions at singular points $0$ and $1$ for the generalized hypergeometric function, using analytic continuation of the integral representation. All connection coefficients are products of the sine and the cosecant.
Matsuhira, Y., Nagoya, H.
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Certain Properties Associated with Generalized $M$-Series using Hadamard Product [PDF]
Sahand Communications in Mathematical AnalysisThe generalized $M$-series is a hybrid function of generalized Mittag-Leffler function and generalized hypergeometric function. The principal aim of this paper is to investigate certain properties resembling those of the Mittag-Leffler and ...
Dheerandra Sachan +2 more
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