### 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 language | English |
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Article number | 789519 |

Journal | International Journal of Mathematics and Mathematical Sciences |

Volume | 2012 |

DOIs | |

Publication status | Published - 2012 |

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### ASJC Scopus subject areas

- Mathematics (miscellaneous)

### Cite this

**Generalization of a quadratic transformation formula due to gauss.** / Rakha, Medhat A.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Generalization of a quadratic transformation formula due to gauss

AU - Rakha, Medhat A.

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84867760863&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867760863&partnerID=8YFLogxK

U2 - 10.1155/2012/789519

DO - 10.1155/2012/789519

M3 - Article

VL - 2012

JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

SN - 0161-1712

M1 - 789519

ER -