CERTAIN UNIFIED INTEGRALS INVOLVING A PRODUCT OF THE FOUR-PARAMETER BESSEL FUNCTION AND JACOBI POLYNOMIAL

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 156

Volume : 10 , Issue : 2
DOI: https://doi.org/10.56827/JRSMMS.2023.1002.8
Author :
S. C. Pandey (Faculty of Mathematics and Computing, Department of Mathematics and Statistics, Banasthali Vidyapith, Niwai - 304022, Rajasthan, INDIA)
K. Chaudhary (Faculty of Mathematics and Computing, Department of Mathematics and Statistics, Banasthali Vidyapith, Niwai - 304022, Rajasthan, INDIA)

Abstract

The present paper is devoted to derive a generalized Oberhettinger-type integral formula. The derived form of an integral involving the product of the four-parameter Bessel function and Jacobi polynomial. The outcomes are expressed in terms of the Kamp\'{e} de F\'{e}riet and Srivastava and Daoust functions. Also, four Corollaries of the both Theorems are derived in terms of the Kamp\'{e} de F\'{e}riet and Srivastava and Daoust functions. Some of the significant particular cases are also determined. Furthermore, we drive an interesting relationship between Kamp\'{e} de F\'{e}riet and Srivastava and Daoust functions.

Keywords and Phrases

Bessel function, Hypergeometric function, Srivastava and Daoust function.

A.M.S. subject classification

33C10, 33C20, 33C65.

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