Evaluating a class of balanced q -series

DOI10.3906/MAT-1710-90zbMath1424.33031OpenAlexW2893948537MaRDI QIDQ5742836

Chu, Wenchang

Publication date: 8 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1710-90

zbMATH Keywords

basic hypergeometric seriesAbel's lemma on summation by partsterminating balanced series \(q\)-Pfaff-Saalschütz theorem

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (2)

\(q\)-binomial sums toward Euler's pentagonal number theorem ⋮ Q-analogues of five difficult hypergeometric evaluations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Summation formulae for a class of terminating balanced \(q\)-series
• Abel's Lemma on summation by parts and partial \(q\)-series transformations
• Some inverse relations
• Some observations on Dyson's new symmetries of partitions
• \(q\)-hypergeometric proofs of polynomial analogues of the triple product identity, Lebesgue's identity and Euler's pentagonal number theorem
• Abel's lemma on summation by parts and basic hypergeometric series
• Applications of q-Lagrange Inversion to Basic Hypergeometric Series

This page was built for publication: Evaluating a class of balanced q -series