Results 31 to 40 of about 36,027 (210)

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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On a new class of integrals involving generalized Mittag-Leffler function [PDF]

Surveys in Mathematics and its Applications, 2016
In this paper, we aim at establishing two generalized integral formulae involving generalized Mittag-Leffler function which are expressed in terms of the generalized hypergeometric function and generalized (Wright) hypergeometric function.
Naresh Menaria, Sunil Dutt Purohit, Rakesh K. Parmar   +2 more
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Generalized Fractional Integral Formulas for the k-Bessel Function

Journal of Mathematics, 2018
The aim of this paper is to deal with two integral transforms involving the Appell function as their kernels. We prove some compositions formulas for generalized fractional integrals with k-Bessel function.
D. L. Suthar, Mengesha Ayene
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Born-Oppenheimer Approximation near Level Crossing [PDF]

, 2000
We consider the Born-Oppenheimer problem near conical intersection in two dimensions. For energies close to the crossing energy we describe the wave function near an isotropic crossing and show that it is related to generalized hypergeometric functions ...
A. Gordon, A. Shapere, B. Kendrick, C. A. Mead, C. A. Mead, C. A. Mead, F. Bornemann, F. Dyson, G. A. Hagedorn, H. Bateman, H. C. Longuet-Higgins, H. von Busch, J. E. Avron, J. L. Powell, J. M. Combes, J. von Neumann, L. D. Landau, M. Born, M. Klein, M. V. Berry, P. Aventini, P. Aventini, R. Jackiw, S. Iyanaga, T. C. Thompson, T. C. Thompson, W. E. Boyce   +26 more
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A study on unification of generalized hypergeometric function and Mittag-Leffler function with certain integral transforms of generalized basic hypergeometric function

Researches in Mathematics
This research article explores some new properties of generalized hypergeometric function and its q-analogue. The connections between ${}_{2}{{R}_{1}}^{\upsilon }(\mathfrak{z})$, the Wright function, and generalized Mittag-Leffler functions are explored.
K.K. Chaudhary, S.B. Rao
doaj   +1 more source

On the generalized Gauss hypergeometric function

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2008
In this work the (τ, β)-hypergeometric Gauss function is considered, the basic properties of this function are investigated, some applications are given.
N. A. Virchenko
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Finite and Infinite Hypergeometric Sums Involving the Digamma Function

Mathematics, 2022
We calculate some finite and infinite sums containing the digamma function in closed form. For this purpose, we differentiate selected reduction formulas of the hypergeometric function with respect to the parameters applying some derivative formulas of ...
Juan Luis González-Santander, Fernando Sánchez Lasheras   +1 more
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Integral Representation and Asymptotic Expansion for Hypergeometric Coherent States

Mathematics, 2022
An integral representation is found for hypergeometric coherent states. It contains a generalized hypergeometric function. An asymptotic expansion of hypergeometric coherent states near z=1 is constructed.
Alexander Pereskokov
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A generalization of Clausen's identity

, 2009
The paper aims to generalize Clausen's identity to the square of any Gauss hypergeometric function. Accordingly, solutions of the related 3rd order linear differential equation are found in terms of certain bivariate series that can reduce to 3F2 series ...
G.E. Andrews, R. Vidunas, R. Vidunas, Raimundas Vidunas, T. Clausen, W. Chaundy, W.N. Bailey   +6 more
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Computing hypergeometric functions rigorously [PDF]

, 2016
We present an efficient implementation of hypergeometric functions in arbitrary-precision interval arithmetic. The functions ${}_0F_1$, ${}_1F_1$, ${}_2F_1$ and ${}_2F_0$ (or the Kummer $U$-function) are supported for unrestricted complex parameters and ...
Johansson, Fredrik
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