A generalization of Zwegers' \(\mu\)-function according to the \(q\)-Hermite-Weber difference equation
DOI10.3842/sigma.2023.014zbMath1530.39004arXiv2206.15137OpenAlexW4360618558MaRDI QIDQ6042949
Genki Shibukawa, Satoshi Tsuchimi
Publication date: 4 May 2023
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.15137
mock theta functions\(q\)-hypergeometric seriesAppell-Lerch series\(q\)-Borel transformation\(q\)-Laplace transformationcontinuous \(q\)-Hermite polynomial
(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13) Automata sequences (11B85) Other basic hypergeometric functions and integrals in several variables (33D70)
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