Mehler-Fock, Legendre Integral Transforms with Applications

Authors

  • A. Aghili

DOI:

https://doi.org/10.18311/jims/2022/28908

Keywords:

Mehler-Fock Transform, Legendre Transform, Modi?ed Bessel’s Functions, Legendre Di?erential Equation, Associate Legendre Function, Gamma Function.

Abstract

In this paper we study some properties of the Mehler-Fock and Legendre transforms. Certain integrals involving associated Legendre function, Gamma function and modi?ed Bessel’s function are evaluated. Constructive examples are also provided.

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References

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Published

2022-08-23

How to Cite

Aghili, A. (2022). Mehler-Fock, Legendre Integral Transforms with Applications. The Journal of the Indian Mathematical Society, 89(3-4), 199–213. https://doi.org/10.18311/jims/2022/28908