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Asymptotic expansions of the Mehler-Fock transform

Authors:

R S Pathak R N Pandey

Institution:

1. Department of Mathematics, Faculty of Science, Banaras Hindu University, 221 005, Varanasi, India

Abstract:

Asymptotic expansions in the two limitsx → + ∞ andx → 0+ are obtained for the Mehler-Fock transform

$I(x) = \int_0^\infty {P_{ - \tfrac{1}{1} + ir}^m } (cosh x)h(\tau )d\tau ,$

Keywords:	Mehler-Fock transform asymptotic expansions Legendre function
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