Results 31 to 40 of about 40,608 (254)

Inequalities of extended beta and extended hypergeometric functions [PDF]

Journal of Inequalities and Applications, 2017
This paper studies the log-convexity of the extended beta functions. As a consequence, Tur n-type inequalities are established.The monotonicity, log-convexity, log-concavity of extended hypergeometric functions are deduced by using the inequalities on extended beta functions,.
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Extension of exton's hypergeometric function K16

Cubo, 2021
The purpose of this article is to introduce an extension of Exton's hypergeometric function K16 by using the extended beta function given by Özergin et al. [11].
Ahmed Ali Atash, Maisoon Ahmed Kulib
doaj   +1 more source

Extended incomplete version of hypergeometric functions

Filomat, 2020
Recently, the incomplete Pochhammer ratios are defined in terms of incomplete beta and gamma functions [10]. In this paper, we introduce the extended incomplete version of Pochhammer symbols in terms of the generalized incomplete gamma functions.
Özarslan, Mehmet Ali, Ustaoğlu, Ceren
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The c-function expansion of a basic hypergeometric function associated to root systems [PDF]

, 2014
We derive an explicit c-function expansion of a basic hypergeometric function associated to root systems. The basic hypergeometric function in question was constructed as explicit series expansion in symmetric Macdonald polynomials by Cherednik in case ...
Gasper, Gindikin, Heckman, Heckman, Jasper Stokman, Koornwinder, Macdonald, Noumi, Ruijsenaars, Springer, Stokman, Stokman   +11 more
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An extension of beta function, its statistical distribution, and associated fractional operator

Advances in Difference Equations, 2020
Recently, various forms of extended beta function have been proposed and presented by many researchers. The principal goal of this paper is to present another expansion of beta function using Appell series and Lauricella function and examine various ...
Ankita Chandola, Rupakshi Mishra Pandey, Ritu Agarwal, Sunil Dutt Purohit   +3 more
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Strong Differential Subordinations and Superordinations for Riemann–Liouville Fractional Integral of Extended q-Hypergeometric Function

Mathematics, 2023
The notions of strong differential subordination and its dual, strong differential superordination, have been introduced as extensions of the classical differential subordination and superordination concepts, respectively.
Alina Alb Lupaş, Georgia Irina Oros
doaj   +1 more source

The algebraic and Hamiltonian structure of the dispersionless Benney and Toda hierarchies [PDF]

, 1996
The algebraic and Hamiltonian structures of the multicomponent dispersionless Benney and Toda hierarchies are studied. This is achieved by using a modified set of variables for which there is a symmetry between the basic fields.
Aoyama S, Benney D J, Bureau F J, Bureau F J, Carroll R, D B Fairlie, Dubrovin B A, Dubrovin B A, Eguchi T, Eguchi T, Enriquez B, Gel'fand I M, Gibbons J, I A B Strachan, Kruskal M D, Kuperschmidt B A, Sato M, Son S H, Strachan I A B, Tsarev S P, Tsarev S P   +20 more
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Note on extended hypergeometric function

Proyecciones (Antofagasta), 2019
In this paper, we present an extension of the classical hypergeometric functions using extended gamma function due to Jumarie and obtained some properties.
Ranjan Kumar Jana, Bhumika Maheshwari, Ajay Kumar Shukla   +2 more
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Extended Riemann-Liouville type fractional derivative operator with applications

Open Mathematics, 2017
The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind.
Agarwal P., Nieto Juan J., Luo M.-J.
doaj   +1 more source

A (p, ν)-extension of the Appell function F1(·) and its properties [PDF]

, 2019
In this paper, we obtain a (p, v)-extension of the Appell hypergeometric functionF1(·), together with its integral representation, by using the extended Beta functionBp,v(x, y) introduced in [9].
Dar, S. A., Paris, R. B.
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