English

The function $(\cosh\sqrt{at^2+b})$ is exponentially convex

Classical Analysis and ODEs 2016-05-23 v2

Abstract

Given positive numbers aa and bb, the function at2+b\sqrt{at^2+b} is exponentially convex function of tt on the whole real axis. Three proofs of this result are presented.

Cite

@article{arxiv.1502.04201,
  title  = {The function $(\cosh\sqrt{at^2+b})$ is exponentially convex},
  author = {Victor Katsnelson},
  journal= {arXiv preprint arXiv:1502.04201},
  year   = {2016}
}

Comments

20 pages

R2 v1 2026-06-22T08:29:36.156Z