On generalized \(q\)-hyperbolic functions in the spirit of Kapteyn, with corresponding \(q\)-Lie group

DOI10.1007/978-3-031-32009-5_12OpenAlexW4387014542MaRDI QIDQ6200435

Thomas Ernst

Publication date: 22 March 2024

Published in: Non-commutative and Non-associative Algebra and Analysis Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-32009-5_12

zbMATH Keywords

\(q\)-difference operator\(q\)-exponential\(q\)-Lie group\(q\)-hyperbolic function

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference equations, scaling ((q)-differences) (39A13) (q)-gamma functions, (q)-beta functions and integrals (33D05) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Exponential and trigonometric functions (33B10)

Cites Work

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