Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Rakesh K. Parmar"'
Autor:
Rakesh K. Parmar, Tibor K. Pogány
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-11 (2024)
Abstract We introduce a new unified extension of the integral form of Euler’s beta function with a MacDonald function in the integrand and establish functional upper bounds for it. We use this definition to extend as well the Gaussian and Kummer’
Externí odkaz:
https://doaj.org/article/f3900b9b8dda47da8981af6f978f1bf0
Publikováno v:
Mathematics, Vol 12, Iss 17, p 2709 (2024)
In this article, we consider a unified generalized version of extended Euler’s Beta function’s integral form a involving Macdonald function in the kernel. Moreover, we establish functional upper and lower bounds for this extended Beta function. H
Externí odkaz:
https://doaj.org/article/ac37f09f91d8475a921b3b4d1138c6c1
Publikováno v:
Axioms, Vol 13, Iss 8, p 534 (2024)
The principal aim of this paper is to introduce the extended Voigt-type function Vμ,ν(x,y) and its counterpart extension Wμ,ν(x,y), involving the Neumann function Yν in the kernel of the representing integral. The newly defined integral reduces
Externí odkaz:
https://doaj.org/article/26f35c2384184c1ca8859bf52e9ee6f1
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-16 (2021)
Abstract Our aim is to study and investigate the family of ( p , q ) $(p, q)$ -extended (incomplete and complete) elliptic-type integrals for which the usual properties and representations of various known results of the (classical) elliptic integral
Externí odkaz:
https://doaj.org/article/b6c3aa7a23424f6cacf18e0750f1f388
Publikováno v:
Mathematics, Vol 11, Iss 7, p 1710 (2023)
Integral form expressions are obtained for the Mathieu-type series and for their associated alternating versions, the terms of which contain a (p,ν)-extended Gauss hypergeometric function. Contiguous recurrence relations are found for the Mathieu-ty
Externí odkaz:
https://doaj.org/article/5f59c6d9515d40ae8b9dee52b2a3a8a3
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-11 (2019)
Abstract In this paper, we establish sixteen interesting generalized fractional integral and derivative formulas including their composition formulas by using certain integral transforms involving generalized (p,q) $(p,q)$-Mathieu-type series.
Externí odkaz:
https://doaj.org/article/fd6a39e5c61e4e5cb82f32946f8b60b3
Autor:
Rakesh K. Parmar, Sunil Dutt Purohit
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 37, Iss 1, Pp 169-176 (2019)
Various families of generating functions have been established by a number of authors in many different ways. In this paper, we aim at establishing (presumably new) a generating function for the extended second Appell hypergeometric function $F_{2} (
Externí odkaz:
https://doaj.org/article/cdbe30d35329492e8a49dced965cb6f7
Publikováno v:
Surveys in Mathematics and its Applications, Vol 11 (2016), Pp 1-9 (2016)
In this paper, we aim at establishing two generalized integral formulae involving generalized Mittag-Leffler function which are expressed in terms of the generalized hypergeometric function and generalized (Wright) hypergeometric function. Some inter
Externí odkaz:
https://doaj.org/article/d57c2eaac41a4acc8f9b0c68b184dd3f
Autor:
Rakesh K. Parmar
Publikováno v:
Mathematics, Vol 3, Iss 4, Pp 1069-1082 (2015)
In a joint paper with Srivastava and Chopra, we introduced far-reaching generalizations of the extended Gammafunction, extended Beta function and the extended Gauss hypergeometric function. In this present paper, we extend the generalized Mittag–Le
Externí odkaz:
https://doaj.org/article/b3bc652363644b00b96d9f662f653081
Publikováno v:
Axioms, Vol 1, Iss 3, Pp 238-258 (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]. The main object of this paper is to present a fu
Externí odkaz:
https://doaj.org/article/49242fad21aa4a5883769dbadc614e32