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

Authors

  • Nabi Ullah Khan
  • Mohd Ghayasuddin
  • Talha Usman

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.

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.

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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Published

2016-09-30

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

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Papers