A derivation of two quadratic transformations contiguous to that of Gauss via a differential equation approach

S. Meethal; Arjun K. Rathie; R. B. Paris

doi:10.12988/ams.2015.4121054

A derivation of two quadratic transformations contiguous to that of Gauss via a differential equation approach

S. Meethal
, Arjun K. Rathie
, R. B. Paris

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

195 Downloads (Pure)

Abstract

The purpose of this note is to provide an alternative proof of two quadratic transformation formulas contiguous to that of Gauss using a differential equation approach.

Original language	English
Pages (from-to)	845-851
Number of pages	7
Journal	Applied Mathematical Sciences
Volume	9
Issue number	17
DOIs	https://doi.org/10.12988/ams.2015.4121054
Publication status	Published - 29 Jan 2015

Keywords

Gauss hypergeometric function
Quadratic transformation
Hypergeometric differential equation

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Paris_A DerivationOfTwoQuadraticTransformationsContiguousToThatOfGauss_Published_2015Final published version, 175 KBLicence: CC BY

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A derivation of two quadratic transformations contiguous to that of Gauss via a differential equation approach

Abstract

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