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Contiguous relations of 3ϕ2-series

2012/09/11 by Chuanan Wei, Wei, Chuanan, Dianxuan Gong +1
Mathematics · #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #math.CA #math.CO

paper · pdf · doi:10.48550/arxiv.1209.2630

arxiv created 2012/09/11 · arxiv updated 2012/09/13

Abstract

According to Abel's lemma and the method of linear combinations, we establish numerous contiguous relations of 3ϕ2-series, which can be regarded as q-analogues of the contiguous relations of 3F2-series due to Krattenthaler and Rivoal [12] or Chu and Wang [4].

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