Results 21 to 30 of about 704 (153)
Mathematics, 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.
Rakesh K. Parmar +2 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 +3 more
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, 2023 This paper introduces extensions H4,p and X8,p of Horn’s double hypergeometric function H4 and Exton’s triple hypergeometric function X8, taking into account recent extensions of Euler’s beta function, hypergeometric function, and ...
Saravanan S. +2 more
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Extensions of beta and related functions [PDF]
, 2022 In this paper, we introduce and investigate a new extension of the beta function by means of an integral operator involving a product of Bessel-Struve kernel functions.
Paris, Richard Bruce +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 confluent hypergeometric function.
Feng Qi +2 more
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Extende beta, hypergeometric and confluent hypergeometric functions
, 2019 15 ...
Khan, N. U., Usman, T., Aman, M.
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Inequalities of extended (p,q)-beta and confluent hypergeometric function
, 2017 In this present paper, we establish the log-convexity and Turán type inequalities of extended $(p,q)$-beta functions. Also, we present the log-convexity, the monotonicity and Turán type inequalities for extended $(p,q)$-confluent hypergeometric function by using the inequalities of extended $(p,q)$-beta functions.
Mubeen, Shahid +3 more
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A new generalization of confluent hypergeometric function and whittaker function
, 2018 In this article, we introduce a further generalizations of the confluent hypergeometric function and Whittaker function by introducing an extra parameter in the extended con uent hypergeometric function dened by Parmar [15].
Mohd Ghayasuddin +2 more
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Properties and Applications of Extended Hypergeometric Functions
Ingeniería y Ciencia, 2014 In this article, we study several properties of extended Gauss hypergeometric and extended confluent hypergeometric functions. We derive several integrals, inequalities and establish relationship between these and other special functions.
Daya Krishna Nagar +2 more
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Some Properties of Extended Hypergeometric Function and Its Transformations
, 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 ...
Prakriti Rai, Aparna Chaturvedi
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