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Plancherel-Rotach asymptotics for some \(q\)-orthogonal polynomials with complex scalings

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Publication:927675
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DOI10.1016/j.aim.2008.03.002zbMath1142.30015OpenAlexW2026283634MaRDI QIDQ927675

Ruiming Zhang

Publication date: 9 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.aim.2008.03.002


zbMATH Keywords

asymptotics under complex scaling


Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Asymptotic representations in the complex plane (30E15)


Related Items (4)

Asymptotics for some \(q\)-hypergeometric polynomials ⋮ On a generalized homogeneous Hahn polynomial ⋮ On complete monotonicity of certain special functions ⋮ Scaled asymptotics for some \(q\)-functions



Cites Work

  • Scaled asymptotics for \(q\)-orthogonal polynomials
  • Chaotic and periodic asymptotics for q-orthogonal polynomials
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