\(q\)-derivative operators and basic hypergeometric series

DOI10.1007/s00025-006-0209-1zbMath1108.33015OpenAlexW1653219948MaRDI QIDQ860128

Chu, Wenchang

Publication date: 23 January 2007

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-006-0209-1

zbMATH Keywords

basic hypergeometric seriesLeibniz rule\(q\)-derivative operatorinverse series relations

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items

Divided differences and well-poised q-series, Approach of \(q\)-derivative operators to terminating \(q\)-series formulae, The q-derivative formula and determinant identities, \( \pi \)-formulas from dual series of the Dougall theorem, Geometry of physical systems on quantized spaces, Divided differences and generalized Taylor series, Bilateral Bailey lemma and Rogers-Ramanujan identities, Ramanujan-like formulae for \(\pi\) and \(1/\pi\) via Gould-Hsu inverse series relations, An extension of the non-terminating₆φ₅summation and the Askey–Wilson polynomials