Generalization of a Quadratic Transformation Formula due to Gauss
The aim of this research paper is to obtain explicit expressions of (1−𝑥)2−2𝑎𝐹1[𝑎,𝑏;−4𝑥/(1−𝑥)22𝑏+𝑗]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 follo...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/789519 |
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