A sequence of elementary integrals related to integrals studied by Glaisher that contain trigonometric and hyperbolic functions

Abstract

We generalize several integrals studied by Glaisher. These ideas are then applied to obtain an analog of an integral due to Ismail and Valent.

arXiv comment9 pages. A new theorem and 5 new references have been added. Discussion section is revised. Discussion of some open questions is added