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arXiv · 1306.2596

Generalizations of Ramanujan's reciprocity formula and the Askey-Wilson integral

Chuanan Wei·Xiaoxia Wang·Qinglun Yan
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Abstract

By using two known transformation formulas for basic hypergeometric series, we establish a direct extension of Bailey's $_6ψ_6$-series identity. Subsequently, it and Milne's identity are employed to drive multi-variable generalizations of Ramanujan's reciprocity formula. Then we utilize also Milne's identity to deduce a multi-variable generalization of the Askey-Wilson integral.

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Chuanan Wei, Xiaoxia Wang, Qinglun Yan. 2013-05-14. Generalizations of Ramanujan's reciprocity formula and the Askey-Wilson integral. https://arxiv.org/abs/1306.2596

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