Functions and Analysis

   

Quadratic Transformations of Hypergeometric Function and Series with Harmonic Numbers

Authors: Martin Nicholson

In this brief note, we show how to apply Kummer's and other quadratic transformation formulas for Gauss' and generalized hypergeometric functions in order to obtain transformation and summation formulas for series with harmonic numbers that contain one or two continuous parameters.

Comments: 8 Pages. Presentation is improved, a theorem, a corollary and some references are added

Download: PDF

Submission history

[v1] 2018-01-08 07:56:30
[v2] 2018-01-16 06:00:50

Unique-IP document downloads: 53 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