Volume 24, pp. 94-102, 2006.

Noncommutative extensions of Ramanujan's 1ψ1 summation

Michael Schlosser

Abstract

Using functional equations, we derive noncommutative extensions of Ramanujan's ${}_1\psi_1$ summation.

Full Text (PDF) [153 KB]

Key words

noncommutative basic hypergeometric series, Ramanujan's ${}_1\psi_1$ summation

AMS subject classifications

33D15, 33D99

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