An extension of beta function, its statistical distribution, and associated fractional operator

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 properties like integral representation and summat...

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Vydané v:	Advances in difference equations Ročník 2020; číslo 1; s. 1 - 17
Hlavní autori:	Chandola, Ankita, Mishra Pandey, Rupakshi, Agarwal, Ritu, Dutt Purohit, Sunil
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cham Springer International Publishing 04.12.2020 Springer Nature B.V SpringerOpen
Predmet:	Analysis Appell series Applications Difference and Functional Equations Distribution functions Extended beta function Extended confluent hypergeometric function Extended hypergeometric function Functional Analysis Hypergeometric functions Integrals Lauricella function Mathematics Mathematics and Statistics Methods Operators (mathematics) Ordinary Differential Equations Partial Differential Equations Probability distribution Representations Statistical distribution Topics in Special Functions and q-Special Functions: Theory Extended beta function Extended confluent hypergeometric function Statistical distribution Riemann–Liouville fractional operator Extended hypergeometric function Lauricella function Appell series
ISSN:	1687-1847, 1687-1839, 1687-1847
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