Generalization of a quadratic transformation formula due to gauss

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Abstract

The aim of this research paper is to obtain explicit expressions of (1-x) -2 a 2 F 1 [ a, b 2b+f; - 4 x / (1 - x) 2] for j = 0, ± 1, ± 2. For j = 0, we have the well-known transformation formula due to Gauss. The results are derived with the help of generalized Watson's theorem. Some known results obtained earlier follow special cases of our main findings.

Original languageEnglish
Article number789519
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume2012
DOIs
Publication statusPublished - 2012

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ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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