A general \(q\)-expansion formula based on matrix inversions and its applications

DOI10.1007/S11139-020-00318-2zbMath1462.05040arXiv1905.10513OpenAlexW3088712560MaRDI QIDQ829837

Jin Wang

Publication date: 6 May 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.10513

zbMATH Keywords

\(q\)-seriesmatrix inversionformal power seriesidentity\(q\)-Catalan numberexpansion formulacoefficientLagrange-Bürmann inversion

Mathematics Subject Classification ID

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

Uses Software

• DLMF

Cites Work

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• A novel extension of the Lagrange-Bürmann expansion formula
• Applications of q-Lagrange Inversion to Basic Hypergeometric Series
• A New q-Lagrange Formula and some Applications
• Identities in Combinatorics. II: A q-Analog of the Lagrange Inversion Theorem
• A $q$-series identity and the arithmetic of Hurwitz zeta functions

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