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

S. C.  Pandey; K.   Chaudhary

doi:10.56827/JRSMMS.2023.1002.8

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

DOI: https://doi.org/10.56827/JRSMMS.2023.1002.8

Keywords: Bessel function, Hypergeometric function, Srivastava and Daoust function.

Abstract

The present paper is devoted to derive a generalized Oberhettingertype 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´eriet and Srivastava and Daoust functions. Also, four Corollaries of the both Theorems are derived in terms of the Kamp´e de F´eriet 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´eriet and Srivastava and Daoust functions