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.