Contiguous relations of 3ϕ2_3ϕ_2-series

preprint2012arXivOpen access

Abstract

According to Abel's lemma and the method of linear combinations, we establish numerous contiguous relations of 3ϕ2_3ϕ_2-series, which can be regarded as q-analogues of the contiguous relations of 3F2_3F_2-series due to Krattenthaler and Rivoal [12] or Chu and Wang [4].

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