Summation formulae for noncommutative hypergeometric series

Abstract

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].

35 pages

References in corpus (2)

• Noncommutative Hypergeometry
• Projectively equivariant quantization and symbol calculus: noncommutative hypergeometric functions