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Some New Applications of Matrix Inversions in A r

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Abstract

We apply multidimensional matrix inversions to multiple basic hypergeometric summation theorems to derive several multiple (q-)series identities which themselves do not belong to the hierarchy of (basic) hypergeometric series. Among these are A terminating and nonterminating q-Abel and q-Rothe summations. Furthermore, we derive some identities of another type which appear to be new already in the one-dimensional case.

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  1. Institut für Mathematik der Universität Wien, Strudlhofgasse 4, A-1090, Wien, Austria

    Michael Schlosser

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  1. Michael Schlosser
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Schlosser, M. Some New Applications of Matrix Inversions in A r . The Ramanujan Journal 3, 405–461 (1999). https://doi.org/10.1023/A:1009809424076

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