A Five-variable generalization of Ramanujan's reciprocity theorem

Xinrong Ma

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arXiv · 1310.5013

A Five-variable generalization of Ramanujan's reciprocity theorem

Xinrong Ma

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Abstract

By virtue of Bailey's well-known bilateral 6ψ_6 summation formula and Watson's transformation formula,we extend the four-variable generalization of Ramanujan's reciprocity theorem due to Andrews to a five-variable one. Some relevant new q-series identities including a new proof of Ramanujan's reciprocity theorem and of Watson's quintuple product identity only based on Jackson's transformation are presented.

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Xinrong Ma. 2013-10-18. A Five-variable generalization of Ramanujan's reciprocity theorem. https://arxiv.org/abs/1310.5013

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