Publikationsdatum:
1984-01-01
Beschreibung:
An integral transform involving the associated Legendre function of zero order,P−12+iτ(x),x∈[1,∞), as the kernel (considered as a function ofτ), is called Mehler-Fock transform. Some generalizations, involving the functionP−12+iτμ(x), where the orderμis an arbitrary complex number, including the case whenμ=0,1,2,…have been known for some time. In this present note, we define a general Mehler-Fock transform involving, as the kernel, the Legendre functionP−12+tμ(x), of general orderμand an arbitrary index−12+t,t=σ+iτ,−∞
Print ISSN:
0161-1712
Digitale ISSN:
1687-0425
Thema:
Mathematik
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