A Representation of the Associated Legendre Functions of the First Kind on the Cut as the Mellin Transformation of the Riesz Kernel
Alexander Kheyfits
TL;DR
This paper derives a Mellin transform representation for the associated Legendre functions of the first kind on the cut, providing a new analytical perspective on these special functions.
Contribution
It introduces a novel Mellin transform representation for the associated Legendre functions of the first kind on the cut, expanding the analytical tools available for these functions.
Findings
Mellin transform representation for Legendre functions derived
Provides new analytical insights into special functions
Enhances mathematical tools for related applications
Abstract
A Mellin transform representation is derived for the associated Legendre functions of the first kind on the cut
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Taxonomy
TopicsAdvanced Theoretical and Applied Studies in Material Sciences and Geometry · Material Science and Thermodynamics