Results 91 to 100 of about 36,153 (203)
Generalized Euler integrals and A-hypergeometric functions
Advances in Mathematics, 1990 In their previous works the authors have introduced a holonomic system of linear differential equations associated to a certain finite set \(A\subset \mathbb{Z}^ n\). They called this system the \(A\)-hypergeometric system, and its solutions the \(A\)-hypergeometric functions.
Gelfand, I.M +2 more
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AxiomsWe systematically exploit a new generalized hypergeometric identity to obtain new hypergeometric summation formulas. As a consistency test, alternative proofs for some special cases are also provided.
Juan Luis González-Santander
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Integral representations of generalized Lauricella hypergeometric functions
International Journal of Mathematics and Mathematical Sciences, 1992 The generalized hypergeometric function was introduced by Srivastava and Daoust. In the present paper a new integral representation is derived. Similarly new integral representations of Lauricella and Appell function are obtained.
Vu Kim Tuan, R. G. Buschman
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Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions
AxiomsIn 2012, Chu investigated the generalization of classical Watson–Whipple–Dixon summation theorems in the form of analytical formulas. By employing four generalized Watson summation formulas, the objective of this paper is to evaluate a new class of ...
Prathima Jayarama +3 more
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Integral Transforms for the New Generalized Beta Function
Journal of New Theory, 2019 In this paper, some representation formulas for the generalized Gamma and Beta functions are obtained. Also, certain integral transforms for the generalized Beta function associated with the Wright hypergeometric function are derived.
Ahmed Ali Al-gonah +1 more
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Inequalities for generalized hypergeometric functions
Journal of Approximation Theory, 1972 AbstractIt is shown that some well-known Padé approximations for a particular form of the Gaussian hypergeometric function and two of its confluent forms give upper and lower bounds for these functions under suitable restrictions on the parameters and variable.
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Moments of Student’s t-distribution: a unified approach
Modern Stochastics: Theory and ApplicationsIn this paper, new closed form formulae for moments of the (generalized) Student’s t-distribution are derived in the one dimensional case as well as in higher dimensions through a unified probability framework.
Justin Lars Kirkby +2 more
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Value of Generalized Hypergeometric Function at Unity [PDF]
, 1997 Value of generalized hypergeometric function at a special point is calculated. More precisely, value of certain multiple integral over vanishing cycle (all arguments collapse to unity) is calculated. The answer is expressed in terms of $ $-functions.
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Results in EngineeringThis work presents the development of parallel computing algorithms for special mathematical function used in fractional calculus. A systematic and step-by-step procedure is proposed for parallelization of computation of Gamma function, 1-, 2-, 3-, and 4-
Chaitanya S. Jage +2 more
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A study of generalized Mittag-Leffler-type function of arbitrary order
Demonstratio MathematicaWe present a novel generalized Mittag-Leffler-type function of arbitrary order in this study. We look into its fundamental characteristics, such as differential formulas, recurrence relations, integral representations, the Euler, Laplace, Mellin ...
Bin-Saad Maged, Younis Jihad
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