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arXiv · 1403.7782

Generalization of a quadratic transformation due to Exton

Y S Kim·A K Rathie·R B Paris
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Abstract

Exton [Ganita 54(2003)13-15] obtained numerous new quadratic transformations involving hypergeometric functions of order two and of higher order by applying various known classical summation theorems to a general transformation formula based on the Bailey transformation. We obtain the generalization of one of the Exton quadratic transformations. The results are derived with the help of a generalization of Dixon's summation theorem for the series ${}_3F_2$ obtained earlier by Lavoie {\em et al}. Several interesting known as well as new special cases and limiting cases are also given.

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Y S Kim, A K Rathie, R B Paris. 2014-03-30. Generalization of a quadratic transformation due to Exton. https://arxiv.org/abs/1403.7782

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