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Your search keyword '"HYPERGEOMETRIC functions"' showing total 2 results
Start Over Descriptor "HYPERGEOMETRIC functions" Topic gamma functions Topic generalization Publisher hindawi limited
2 results on '"HYPERGEOMETRIC functions"'

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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2. Differential Subordinations for Certain Meromorphically Multivalent Functions Defined by Dziok-Srivastava Operator.

Author

Ying Yang, Yu-Qin Tao, and Jin-Lin Liu

Subjects
*MEROMORPHIC functions, *OPERATOR theory, *SCHWARZ function, *MATHEMATICAL notation, *GENERALIZATION, *HYPERGEOMETRIC functions, *GAMMA functions
Abstract

By making use of the Dziok-Srivastava operator, we introduce a new class of meromorphically multivalent functions. Some inclusion properties of functions belonging to this class are derived. [ABSTRACT FROM AUTHOR]

Published
2011
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