Asymptotics for some \(q\)-hypergeometric polynomials

DOI10.1007/s00025-022-01693-6OpenAlexW4281727952MaRDI QIDQ2145670

Juan F. Mañas-Mañas, Juan José Moreno Balcázar

Publication date: 17 June 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-022-01693-6

zbMATH Keywords

asymptotics\(q\)-hypergeometric polynomials

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Uses Software

• DLMF

Cites Work

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• Scaled asymptotics for some \(q\)-functions
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• Scaled asymptotics for \(q\)-orthogonal polynomials
• Plancherel-Rotach asymptotics for some \(q\)-orthogonal polynomials with complex scalings
• The q-analogue of the Laguerre polynomials
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• Plancherel-Rotach asymptotics for certain basic hypergeometric series
• Asymptotic formulae of Mehler-Heine-type for certain classical polyorthogonal polynomials
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• GLOBAL ASYMPTOTICS OF STIELTJES–WIGERT POLYNOMIALS
• Chaotic and periodic asymptotics for q-orthogonal polynomials
• SCALED ASYMPTOTICS FOR SOME q-SERIES
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
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• Integral and series representations of q-polynomials and functions: Part I
• Strong and Plancherel-Rotach asymptotics of non-diagonal Laguerre-Sobolev orthogonal polynomials
• Mehler-Heine type formulas for Charlier and Meixner polynomials

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