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

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Submission history

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

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