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1. Generalization of a Quadratic Transformation Formula due to Gauss.

Author

Rakha, Medhat A.

Subjects
*QUADRATIC transformations, *GENERALIZATION, *MATHEMATICAL formulas, *HYPERGEOMETRIC functions, *COMPLEX numbers, *GAMMA functions
Abstract

The aim of this research paper is to obtain explicit expressions of (1 - x)-2a 2F1[2b+ja,b ; -4x/(1x)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. [ABSTRACT FROM AUTHOR]

Published
2012
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