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The generalized confluent hypergeometric function [PDF]

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1992
This article extends the theory of generalized hypergeometric functions of Gelfand and others to those including the case corresponding the classical confluent hypergeometric functions. Let \(Z_{r,n}\) be the set of \(r\times n\) complex matrices of maximal rank.
Hironobu Kimura, Yoshishige Haraoka, Kyouichi Tanano   +2 more
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Contiguity relations for generalized hypergeometric functions [PDF]

Transactions of the American Mathematical Society, 1995
It is well known that the hypergeometric functions \[ 2 F 1 ( α ± 1 , β , γ ; t ) , 2 F 1
Alan Adolphson, Bernard Dwork
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A Note on Wright-type Generalized q-hypergeometric Function

Известия Иркутского государственного университета: Серия "Математика"
In 2001, Virchenko et al. published a paper on a new generalization of Gauss hypergeometric function, namely Wright-type generalized hypergeometric function. Present work aims to define the q-analogue generalized hypergeometric function, which reduces to
K. K. Chaudhary, S. B. Rao
doaj   +2 more sources

Some Summation Theorems for Generalized Hypergeometric Functions [PDF]

Axioms, 2018
Essentially, whenever a generalized hypergeometric series can be summed in terms of gamma functions, the result will be important as only a few such summation theorems are available in the literature. In this paper, we apply two identities of generalized hypergeometric series in order to extend some classical summation theorems of hypergeometric ...
Mohammad Masjed‐Jamei, Wolfram Koepf
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Table errata: Generalized hypergeometric functions [PDF]

Mathematics of Computation, 1970
Murlan S. Corrington
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Generalized Gamma, Beta and Hypergeometric Functions Defined by Wright Function and Applications to Fractional Differential Equations

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 ...
Enes Ata, İ. Onur Kıymaz
doaj   +1 more source

On some new inequalities and fractional kinetic equations associated with extended gauss hypergeometric and confluent hypergeometric function

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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Certain generating functions involving extended generalized hypergeometric functions

Malaya Journal of Matematik, 2019
Solanki N.S., Shoukat Ali, Purohit S.D.
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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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Book Review: Generalized hypergeometric functions [PDF]

Bulletin of the American Mathematical Society, 1993
Alan Adolphson
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