English

A Note on Generating Functions for Hausdorff Moment Sequences

Classical Analysis and ODEs 2008-05-22 v1 Complex Variables

Abstract

For functions ff whose Taylor coefficients at the origin form a Hausdorff moment sequence we study the behaviour of w(y):=f(γ+iy)w(y):=|f(\gamma+iy)| for y>0y>0 (γ1\gamma\leq1 fixed).

Keywords

Cite

@article{arxiv.0802.2475,
  title  = {A Note on Generating Functions for Hausdorff Moment Sequences},
  author = {Oliver Roth and Luis Salinas and Stephan Ruscheweyh},
  journal= {arXiv preprint arXiv:0802.2475},
  year   = {2008}
}
R2 v1 2026-06-21T10:13:27.931Z