Discrete Mehler-Fock transforms
Classical Analysis and ODEs
2019-10-21 v1
Abstract
Discrete analogs of the classical Mehler-Fock transforms are introduced and investigated. It involves series with the associated Legendre function is the imaginary unit, and the so-called incomplete Legendre integrals. Several expansions of arbitrary functions and sequences in terms of these series and integrals are established.
Cite
@article{arxiv.1910.08394,
title = {Discrete Mehler-Fock transforms},
author = {Semyon Yakubovich},
journal= {arXiv preprint arXiv:1910.08394},
year = {2019}
}