English

The modulus of Whittaker functions

Classical Analysis and ODEs 2016-08-18 v1 Number Theory

Abstract

The paper discusses some properties of the modulus Wk,m(z)|W_{k,m}(z)| of the Whittaker function Wk,m(z)W_{k,m}(z). In particular, completely monotone functions expressed in terms of Wk,m(z)|W_{k,m}(z)| are found. The results follow from an integral representation for products of Whittaker functions due to Erd\'elyi (1938).

Keywords

Cite

@article{arxiv.1608.04780,
  title  = {The modulus of Whittaker functions},
  author = {Hans Volkmer},
  journal= {arXiv preprint arXiv:1608.04780},
  year   = {2016}
}
R2 v1 2026-06-22T15:21:34.188Z