In memory of Alois Apfelbeck: An Interconnection between Cayley-Eisenstein-Pólya and Landau Probability Distributions

Vladimír Vojta

Abstract


The interconnection between the Cayley-Eisenstein-Pólya distribution and the Landau distribution is studied, and possibly new transform pairs for the Laplace and Mellin transform and integral expressions for the Lambert W function have been found.

Keywords


Cayley-Eisenstein-Pólya distribution; Landau distribution; Lambert function; Laplace transform; Mellin transform; Mellin multiplier; Hadamard fractional integral; Liouville fractional integral.

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ISSN 1210-2709 (Print)
ISSN 1805-2363 (Online)
Published by the Czech Technical University in Prague