Results 41 to 50 of about 40,502 (261)
On an extension of extended beta and hypergeometric functions [PDF]
Journal of Classical Analysis, 2017 Motivated mainly by certain interesting recent extensions of the Gamma, Beta and hypergeometric functions, we introduce here new extensions of the Beta function, hypergeometric and confluent hypergeometric functions. We systematically investigate several properties of each of these extended functions, namely their various integral representations ...
Parmar, Rakesh K. +2 more
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Some Results on the Extended Hypergeometric Matrix Functions and Related Functions
Journal of Mathematics, 2021 In this article, we discuss certain properties for generalized gamma and Euler’s beta matrix functions and the generalized hypergeometric matrix functions. The current results for these functions include integral representations, transformation formula, recurrence relations, and integral transforms.
Mohamed Abdalla +2 more
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Convexity and inequalities related to extended beta and confluent hypergeometric functions
AIMS Mathematics, 2019 In the paper, the authors establish the logarithmic convexity and some inequalities for the extended beta function and, by using these inequalities for the extended beta function, find the logarithmic convexity and the monotonicity for the extended ...
Feng Qi +2 more
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Asymptotics of the Gauss hypergeometric function with large parameters, I [PDF]
, 2013 We obtain asymptotic expansions for the Gauss hypergeometric function F(a+ε1λ,b+ε2λ;c+ε3λ;z) as |λ| →∞ when the εj are finite by an application of the method of steepest descents, thereby extending previous results corresponding to εj = 0, ±1. By means of
Paris, Richard B.
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Bivariate Extended Confluent Hypergeometric Function Distribution
American Journal of Mathematical and Management Sciences, 2013 SYNOPTIC ABSTRACT In this article, we define a bivariate extended confluent hypergeometric function density in terms of extended confluent hypergeometric function. We also derive several of its properties and results in terms of extended beta, extended confluent hypergeometric, and modified Bessel functions.
Nagar, Daya Krishna +2 more
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Complexity, 2021 In this paper, we first introduce the incomplete extended Gamma and Beta functions with matrix parameters; then, we establish some different properties for these new extensions. Furthermore, we give a specific application for the incomplete Bessel matrix
Chaojun Zou +3 more
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Axioms, 2012 Recently, an extended operator of fractional derivative related to a generalized Beta function was used in order to obtain some generating relations involving the extended hypergeometric functions [1].
H. M. Srivastava +2 more
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New extension of beta, Gauss and confluent hypergeometric functions
Cumhuriyet Science Journal, 2021 There are many extensions and generalizations of Gamma and Beta functions in the literature. However, a new extension of the extended Beta function B_(ζ〖, α〗_1)^(α_2;〖 m〗_1,〖 m〗_2 ) (a_1,a_2 ) was introduced and presented here because of its important ...
Umar Muhammad Abubakar +1 more
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Supersymmetry, shape invariance and the hypergeometric equation
, 2014 It has been shown earlier that the solubility of the Legendre and the associated Legendre equations can be understood as a consequence of an underlying supersymmetry and shape invariance. We have extended this result to the hypergeometric equation. Since
Das, Ashok K., Kalauni, Pushpa
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Extende beta, hypergeometric and confluent hypergeometric functions
, 2019 15 ...
Khan, N. U., Usman, T., Aman, M.
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