English

Discrete index transformations with squares of Bessel functions

Classical Analysis and ODEs 2020-10-20 v1

Abstract

Discrete analogs of the index transforms with squares of Bessel functions of the first and second kind Jν(z), Yν(z)J_\nu(z),\ Y_\nu(z) are introduced and investigated. The corresponding inversion theorems for suitable classes of functions and sequences are established.

Keywords

Cite

@article{arxiv.2010.09502,
  title  = {Discrete index transformations with squares of Bessel functions},
  author = {Semyon Yakubovich},
  journal= {arXiv preprint arXiv:2010.09502},
  year   = {2020}
}
R2 v1 2026-06-23T19:27:09.158Z