On certain integral formulas involving the product of Bessel function and Jacobi polynomial

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Published: Sep 30, 2016
DOI: https://doi.org/10.5556/j.tkjm.47.2016.1968
Keywords:
Bessel function Jacobi polynomial Kampe' de Fe'riet function Srivastava and Daoust function and Integrals.

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Nabi Ullah Khan
Mohd Ghayasuddin
Talha Usman

Abstract

In the present paper, we establish some interesting integrals involving the product of Bessel function of the first kind with Jacobi polynomial, which are expressed in terms of Kampe de Feriet and Srivastava and Daoust functions. Some other integrals involving the product of Bessel (sine and cosine) function with ultraspherical polynomial, Gegenbauer polynomial, Tchebicheff polynomial, and Legendre polynomial are also established as special cases of our main results. Further, we derive an interesting connection between Kampe de Feriet and Srivastava and Daoust functions.

Article Details

How to Cite
Khan, N. U., Ghayasuddin, M., & Usman, T. (2016). On certain integral formulas involving the product of Bessel function and Jacobi polynomial. Tamkang Journal of Mathematics, 47(3), 339–349. https://doi.org/10.5556/j.tkjm.47.2016.1968
Issue
Vol. 47 No. 3 (2016)
Section
Papers
Author Biographies

Nabi Ullah Khan

Department of AppliedMathematics, Faculty of Engineering and Technology, AligarhMuslim University, Aligarh- 202002, India.

Mohd Ghayasuddin

Department of AppliedMathematics, Faculty of Engineering and Technology, AligarhMuslim University, Aligarh- 202002, India.

Talha Usman

Department of AppliedMathematics, Faculty of Engineering and Technology, AligarhMuslim University, Aligarh- 202002, India.

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