Results 201 to 210 of about 10,852 (220)

Extended Gauss Hypergeometric Matrix Functions

Iranian Journal of Science and Technology, Transactions A: Science, 2017
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Abdalla, Mohamed, Bakhet, A.
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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
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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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Some Properties of Extended Hypergeometric Function and Its Transformations

Journal of the Indian Mathematical Society, 2018
There emerges different extended versions of Beta function and hypergeometric functions containing extra parameters. We obtain some properties of certain functions like extended Generalized Gauss hypergeometric functions, extended Confluent hypergeometric functions including transformation formulas, Mellin transformation for the generalized extended ...
Chaturvedi, Aparna, Rai, Prakriti
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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
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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).
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Some Remarks on Extended Hypergeometric, Extended Confluent Hypergeometric and Extended Appell's Functions

2012
Recently, Chaudhry et al. have introduced the extended hypergeometric functions (EHF) and extended confluent hypergeometric functions (ECHF) by using the generalized beta functions [1]. In a similar way, Ozarslan et al. extended the first two Appell's hypergeometric functions. In this paper, we show that these extended functions can be represented
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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