English

Uniform upper bounds and asymptotic expansions for certain index kernels

Classical Analysis and ODEs 2024-09-20 v1

Abstract

We continue to establish uniform upper bounds and asymptotic expansions for the kernels of the index transforms which were recently developed for the Kontorovich-Lebedev operator. It involves the Mehler-Fock, Lebedev, index Whittaker and Olevskii transforms.

Keywords

Cite

@article{arxiv.2409.12591,
  title  = {Uniform upper bounds and asymptotic expansions for certain index kernels},
  author = {Semyon Yakubovich},
  journal= {arXiv preprint arXiv:2409.12591},
  year   = {2024}
}