New series representations for Jacobi's triple product identity and more via the \(q\)-Markov method

DOI10.1016/j.aam.2011.05.002zbMath1231.33028arXiv0903.0400OpenAlexW1983678273MaRDI QIDQ651045

Moa Apagodu

Publication date: 8 December 2011

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0400

zbMATH Keywords

\(q\)-binomial theorem\(q\)-Markov-WZ methodJacob's triple product identityWZ equation

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Rate of convergence, degree of approximation (41A25) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Cites Work

• Sharp upper bounds for the orders of the recurrences output by the Zeilberger and \(q\)-Zeilberger algorithms
• The \(q\)-Markov-WZ method
• Unnamed Item
• Unnamed Item

This page was built for publication: New series representations for Jacobi's triple product identity and more via the \(q\)-Markov method