Functions and Analysis

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[1] viXra:1801.0096 [pdf] replaced on 2018-01-16 06:00:50

Quadratic Transformations of Hypergeometric Function and Series with Harmonic Numbers

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

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.
Category: Functions and Analysis