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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
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Generalized Dirac Oscillator in Cosmic String Space-Time

Advances in High Energy Physics, 2018
In this work, the generalized Dirac oscillator in cosmic string space-time is studied by replacing the momentum pμ with its alternative pμ+mωβfμxμ. In particular, the quantum dynamics is considered for the function fμxμ to be taken as Cornell potential ...
Lin-Fang Deng, Chao-Yun Long, Zheng-Wen Long, Ting Xu   +3 more
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Certain Properties Associated with Generalized $M$-Series using Hadamard Product [PDF]

Sahand Communications in Mathematical Analysis
The 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, Dinesh Kumar, Kottakkaran Nisar   +2 more
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Derivatives of any Horn-type hypergeometric functions with respect to their parameters

Nuclear Physics B, 2020
We consider the derivatives of Horn hypergeometric functions of any number of variables with respect to their parameters. The derivative of such a function of n variables is expressed as a Horn hypergeometric series of n+1 infinite summations depending ...
Vladimir V. Bytev, Bernd A. Kniehl
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Tables of the Lauricella Hypergeometric Functions F^(3)_A

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
The generalized hypergeometric function q​Fp​ is a power series in which the ratio of successive terms is a rational function of the summation index. The Gaussian hypergeometric functions 2F1​ and 3F3​ are most common special cases of the generalized ...
Abbasova, M.O., Ergashev, T.G.
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Expansion of hypergeometric functions in series of other hypergeometric functions [PDF]

Mathematics of Computation, 1961
In a previous paper [1] one of us developed an expansion for the confluent hypergeometric function in series of Bessel functions. A different expansion of the same kind given by Buchholz [2] was also studied. Since publication of [1], it was found that Rice [3] has also developed an expansion of this type, and yet a fourth expansion of this kind can be
Luke, Y. L., Coleman, R. L.
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A Study of Generalized Hypergeometric Function and its Applications in Vary Disciplines

Shodh Sari
Elementary functions, Bessel functions, Legendre functions and many other special functions are included in the large family of mathematical functions known as generalized hypergeometric functions.
Mr. Mukesh Kumar Mahala, Dr. Rahul Sharma   +1 more
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Study of the Hypergeometric Equation via Data Driven Koopman-EDMD Theory

Axioms, 2023
We consider a data-driven method, which combines Koopman operator theory with Extended Dynamic Mode Decomposition. We apply this method to the hypergeometric equation which is the Fuchsian equation with three regular singular points.
Evangelos Melas, Costas Poulios, Elias Camouzis, John Leventides, Nick Poulios   +4 more
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Some expansions of hypergeometric functions in series of hypergeometric functions [PDF]

Glasgow Mathematical Journal, 1976
Throughout the present note we abbreviate the set of p parameters a1,…,ap by (ap), with similar interpretations for (bq), etc. Also, by [(ap)]m we mean the product , where [λ]m = Г(λ + m)/ Г(λ), and so on. One of the main results we give here is the expansion formula(1)which is valid, by analytic continuation, when, p,q,r,s,t and u are nonnegative ...
Srivastava, H. M., Panda, Rekha
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Extended Riemann-Liouville type fractional derivative operator with applications

Open Mathematics, 2017
The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind.
Agarwal P., Nieto Juan J., Luo M.-J.
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