Functions and Analysis

   

A Sequence of Elementary Integrals Related to Integrals Studied by Glaisher that Contain Trigonometric and Hyperbolic Functions

Authors: Martin Nicholson

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

Comments: 9 Pages. A new theorem, and a new section with a proof, and 5 new references are added. Discussion section is updated. Discussion of some open questions is added.

Download: PDF

Submission history

[v1] 2020-07-22 06:41:11
[v2] 2024-01-19 20:03:32

Unique-IP document downloads: 401 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus