English

Discrete Lebedev's index transforms

Classical Analysis and ODEs 2020-07-16 v1

Abstract

Discrete analogs of the Lebedev transforms with the product of the modified Bessel functions are introduced and investigated. Several expansions of suitable functions and sequences in terms of the series and integrals, involving the modified and incomplete Bessel functions are established.

Keywords

Cite

@article{arxiv.2007.07727,
  title  = {Discrete Lebedev's index transforms},
  author = {Semyon Yakubovich},
  journal= {arXiv preprint arXiv:2007.07727},
  year   = {2020}
}
R2 v1 2026-06-23T17:08:28.080Z