Michael J. Schlosser

Some new applications of matrix inversions in Ar

(57 pages)

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 Ar terminating and nonterminating q-Abel and q-Rothe summations. Furthremore, we derive some identities of another type which appear to be new already in the one-dimensional case.

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