Summation formulae for noncommutative hypergeometric series

Details Summation formulae for noncommutative hypergeometric series Summation formulae for noncommutative hypergeometric series

2004-11-06

arxiv.org/abs/math/0411136v1

Mathematics

Classical Analysis and ODEs

35 pages

Scientific paper

We establish several summation formulae for hypergeometric and basic
hypergeometric series involving noncommutative parameters and argument. These
results were inspired by a recent paper of J. A. Tirao [Proc. Nat. Acad. Sci.
100 (14) (2003), 8138-8141].

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