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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Intersection numbers and twisted period relations for the generalized hypergeometric function ${}_{m+1} F_m$ [PDF]
, 2014 We study the generalized hypergeometric function ${}_{m+1} F_m$ and the differential equation ${}_{m+1}E_m$ satisfied by it. We use the twisted (co)homology groups associated with an integral representation of Euler type.
Y. Goto
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Cumhuriyet Science Journal, 2022 When the literature is examined, it is seen that there are many studies on the generalizations of gamma, beta and hypergeometric functions. In this paper, new types of generalized gamma and beta functions are defined and examined using the Wright ...
E. Ata, I. O. Kiymaz
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Composition Formula for Saigo Fractional Integral Operator Associated with V-Function
Journal of Mathematics, 2022 In this study, we form integral formulas for Saigo’s hypergeometric integral operator involving V-function. Corresponding assertions for the classical Riemann–Liouville (R-L) and Erdélyi–Kober (E-K) fractional integral operator are extrapolated. Also, by
Sunil Chandak +2 more
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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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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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Two Classes of Integrals Involving Extended Wright Type Generalized Hypergeometric Function
Communications in Mathematics and Applications, 2019 In this article, our main purpose is to investigate generalized integral formulas containing the extended Wright type generalized hypergeometric function.
A. Ghaffar +3 more
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Computation of certain integral formulas involving generalized Wright function
Advances in Difference Equations, 2020 The aim of the paper is to derive certain formulas involving integral transforms and a family of generalized Wright functions, expressed in terms of the generalized Wright hypergeometric function and in terms of the generalized hypergeometric function as
Nabiullah Khan +4 more
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Some Unified Integrals for Generalized Mittag-Leffler Functions
Axioms, 2021 Here, we ascertain generalized integral formulas concerning the product of the generalized Mittag-Leffler function. These integral formulas are described in the form of the generalized Lauricella series.
Prakash Singh +2 more
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A class of generating functions for generalized hypergeometric polynomials
Journal of Mathematical Analysis and Applications, 1971 H. M. Srivastava
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