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arXiv · 2007.09306

Two new transformation formulas for ${}_{8}\psi_{8}$ and ${}_{8}W_{7}$ series associated with Weierstrass' theta identity

Jin Wang·Xinrong Ma
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Abstract

In this paper, we establish two new transformation formulas for ${}_{8}\psi_{8}$ and ${}_8\phi_7$ series by means of Slater's general transformation for bilateral series. As applications, some specific transformation formulas are presented among which include a general form of Weierstrass' theta identity and new proofs of Bailey's VWP ${}_6\psi_6$ and Jackson's ${}_8\phi_7$ summation formula.

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Jin Wang, Xinrong Ma. 2020-07-18. Two new transformation formulas for ${}_{8}\psi_{8}$ and ${}_{8}W_{7}$ series associated with Weierstrass' theta identity. https://arxiv.org/abs/2007.09306

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