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PATHWAY FRACTIONAL INTEGRAL FORMULAS INVOLVING BESSEL FUNCTIONS OF THE FIRST KIND

P. Agarwal|최준상
장전수학회 (Jangjeon Mathematical Society)|2015.04|Advanced Studies in Contemporary Mathematics|제25권 제2호|pp. 221-231

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참고문헌

키워드

Generalized hypergeometric seriesPathway fractional integral operatorBessel function of the rst kindGeneralized Lauricella series in several variablesTrigonometric series
주제분류수학

초록

A remarkably large number of fractional integral formulas involving a variety of special functions have been developed by many authors. Here we present a composition formula of the so-called pathway fractional integration operator due to Nair with a nite product of Bessel functions of the rst kind, which is expressed in terms of the generalized Lauricella function due to Srivastava and Daoust. Certain special cases of the results presented here are also considered and pointed out to correspond with some known pathway fractional integral formulas.

Abstract

A remarkably large number of fractional integral formulas involving a variety of special functions have been developed by many authors. Here we present a composition formula of the so-called pathway fractional integration operator due to Nair with a nite product of Bessel functions of the rst kind, which is expressed in terms of the generalized Lauricella function due to Srivastava and Daoust. Certain special cases of the results presented here are also considered and pointed out to correspond with some known pathway fractional integral formulas.

참고문헌 (30)

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관련 논문AI추천

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