Results 151 to 160 of about 6,414,954 (167)

EXTENDED GENERALIZED τ -GAUSS’ HYPERGEOMETRIC FUNCTIONS AND THEIR APPLICATIONS

South East Asian J. of Mathematics and Mathematical Sciences, 2022
In this article, by means of the extended beta function, we introduce new extension of the generalized τ -Gauss’ hypergeometric functions and present some new integral and series representations (including the one obtained by adopt- ing the well-known Ramanujan’s Master Theorem).
Chauhan, Bharti, Rai, Prakriti
openaire   +2 more sources

Extended Multivariable Hypergeometric Functions

2019
In this chapter, we define an extension of multivariable hypergeometric functions. We obtain a generating function for these functions. Furthermore, we derive a family of multilinear and multilateral generating functions for these extended multivariable hypergeometric functions.
Erkuş-Duman, Esra, Düzgün, Düriye
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Extended symmetric Pascal matrices via hypergeometric functions

Applied Mathematics and Computation, 2004
Cholesky's factorization of a symmetric, positive definite matrix has been studied recently in the context of factorizing the generalized Pascal and the symmetric Pascal matrices obtained from the Pascal triangle. The purpose of the paper is to get several positive definite matrices with the Cholesky triangles as the extended generalized Pascal ...
Gi-Sang Cheon, Moawwad E. A. El-Mikkawy
openaire   +1 more source

NEW GENERALIZATIONS OF EXTENDED BETA AND HYPERGEOMETRIC FUNCTIONS

Far East Journal of Theoretical Statistics, 2018
Summary: Motivated by the generalizations of extended beta and hypergeometric functions, we introduce, in this paper, further generalizations of these functions. Some integral representations, properties, Mellin transformations, recurrence relations, and new statistical probability distributions are obtained for these new generalizations.
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On the extended hypergeometric equation and functions of arbitrary degree

Integral Transforms and Special Functions, 2001
The extended hypergeometric equation is a generalization of the Gaussian hypergeometric equation (Section 1), which is distinct from the generalized hypergeometric equation, because it remains of the second-order, but has an irregular singularity at infinity, of degree intermediate between those of Mathieu and Hill equations (Section 2).
openaire   +1 more source

Fractional integration and differentiation of the (p, q)-extended $$\tau$$-hypergeometric function and related Jacobi transforms

Journal of Analysis, 2022
Mamta Gupta
exaly  

On Mathieu-Type Series with (p,ν)-Extended Hypergeometric Terms: Integral Representations and Upper Bounds

Mathematics, 2023
Rakesh Kumar Parmar, Tibor K Pogány, Saravanan S   +2 more
exaly  

Extended Exton’s Triple and Horn’s Double Hypergeometric Functions and Associated Bounding Inequalities

Symmetry, 2023
Rakesh Kumar Parmar, Junesang Choi, Saravanan S   +2 more
exaly  

Integral transforms and probability distributions involving a generalized hypergeometric function

Georgian Mathematical Journal, 2021
Shrideh Al-Omari, Talha Usman, Junesang Choi   +2 more
exaly  

Strong Differential Subordinations and Superordinations for Riemann–Liouville Fractional Integral of Extended q-Hypergeometric Function

Mathematics, 2023
Alb Lupas Daciana Alina, Georgia Irina Oros, Alb Lupaş Alina   +2 more
exaly