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Fractional calculus and integral transforms of incomplete $\tau$-Hypergeometric Function

Neelam Pandey|Jai Prakash Patel
대한수학회 (The Korean Mathematical Society)|2018.01|대한수학회논문집 (Communications of the KMS)|제33권 제1호|pp. 127-142

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키워드

incomplete gamma functionincomplete Pochhammer symbolsfractional derivative and integral operators
주제분류수학

초록

In the present article, authors obtained certain fractional derivative and integral formulas involving incomplete $\tau$-hypergeometric function introduced by Parmar and Saxena \cite{RKParmaRKSaxena1:2016}. Some interesting special cases and consequences of our main results are also considered.

Abstract

In the present article, authors obtained certain fractional derivative and integral formulas involving incomplete $\tau$-hypergeometric function introduced by Parmar and Saxena \cite{RKParmaRKSaxena1:2016}. Some interesting special cases and consequences of our main results are also considered.

참고문헌 (25)

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The incomplete generalized $\tau$-hypergeometric and second $\tau$-Appell functionsRakesh Kumar Parmar, Ram Kishore Saxena대한수학회 · 대한수학회지2016 · 제53권 제2호Some properties of extended $\tau$-hypergeometric functionAjay Kumar Shukla, Bhumika Maheshwari, Ranjan Kumar Jana대한수학회 · 대한수학회논문집2018 · 제33권 제4호Some integral transforms and fractional integral formulas for the extended hypergeometric functions최준상, Hui Zhou, Jyotindra C. Prajapati, Krunal B. Kachhia, Praveen Agarwal대한수학회 · 대한수학회논문집2016 · 제31권 제3호Certain Fractional Integral Operators and Extended General- ized Gauss Hypergeometric Functions최준상, Praveen Agarwal, Shilpi Jain경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호Certain Fredholm type integral equations and fractional operators associated with modified incomplete I-functionANIL KUMAR YADAV, RUPAKSHI MISHRA PANDEY, VISHNU NARAYAN MISHRA장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제2호Fractional Integration and differentiation of the $(p, q)$-extended Bessel function최준상, Rakesh K. Parmar대한수학회 · 대한수학회보2018 · 제55권 제2호

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