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Research Article

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

S
S. C. Pandey Faculty of Mathematics and Computing, Department of Mathematics and Statistics, Banasthali Vidyapith, Niwai - 304022, Rajasthan, INDIA
K
K. Chaudhary Faculty of Mathematics and Computing, Department of Mathematics and Statistics, Banasthali Vidyapith, Niwai - 304022, Rajasthan, INDIA
Volume 10, Issue 2 Pages 107-120 June 30, 2023 441 downloads
Article overview

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 functionHypergeometric functionSrivastava and Daoust function.

AMS Subject Classification

33C10, 33C20, 33C65.

Reference information

How to Cite

S. C. Pandey, K. Chaudhary (2023). CERTAIN UNIFIED INTEGRALS INVOLVING A PRODUCT OF THE FOUR-PARAMETER BESSEL FUNCTION AND JACOBI POLYNOMIAL. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 10(2), 107-120.
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