The Mehler-Fock transform of general order and arbitrary index and its inversion

An integral transform involving the associated Legendre function of zero order, P−12+iτ(x), x∈[1,∞), as the kernel (considered as a function of τ), is called Mehler-Fock transform. Some generalizations, involving the function P−12+iτμ(x), where the order μ is an arbitrary complex number, including t...

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Bibliographic Details

Published in:	International Journal of Mathematics and Mathematical Sciences
Main Author:	Cyril Nasim
Format:	Article
Language:	English
Published:	Wiley 1984-01-01
Subjects:	Mehler-Fock transform Kontorovich-Lebedev transforms Legendre functions of first and second kinds Macdonald function Bessel functions.
Online Access:	http://dx.doi.org/10.1155/S016117128400017X