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arxiv: math/0411136 · v1 · pith:ZIFWZJOAnew · submitted 2004-11-06 · 🧮 math.CA · math.QA

Summation formulae for noncommutative hypergeometric series

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keywords hypergeometricformulaenoncommutativeseriessummationacadargumentbasic
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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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