Multiple basic hypergeometric transformation formulas arising from the\n balanced duality transformation

2013/10/07 by Yasushi Kajihara, Kajihara, Yasushi
Mathematics · Social Sciences · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Quantum Algebra (math.QA) #Religion and Sociopolitical Dynamics in Nigeria #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1310.1984

openalex publication_date 2013/10/07 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

Some multiple hypergeometric transformation formulas arising from the\nbalanced du- ality transformation formula are discussed through the symmetry.\nDerivations of some transformation formulas with different dimensions are given\nby taking certain limits of the balanced duality transformation. By combining\nsome of them, some transformation formulas for A_n basic hypergeometric\nseries is given. They include some generalizations of Watson, Sears and ₈\nW₇ transformations.\n

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