The Journal of the Indian Mathematical Society

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Mehler-Fock, Legendre Integral Transforms with Applications


Affiliations
1 Department of Applied Mathematics,University of Guilan,Rasht, Iran, Islamic Republic of
     

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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.


Keywords

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

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Authors

A Aghili
Department of Applied Mathematics,University of Guilan,Rasht, Iran, Islamic Republic of

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.


Keywords


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

References





DOI: https://doi.org/10.18311/jims%2F2022%2F28908