Uniform asymptotics of orthogonal polynomials arising from coherent states

DOI10.3842/SIGMA.2015.070zbMath1325.41017arXiv1408.5654OpenAlexW1962134567MaRDI QIDQ887750

Dan Dai, Weiying Hu, Xiang-Sheng Wang

Publication date: 27 October 2015

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5654

zbMATH Keywords

orthogonal polynomialscoherent statesuniform asymptoticsthree-term recurrence relation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (4)

Recent advances in asymptotic analysis ⋮ Asymptotic expansion of orthogonal polynomials via difference equations ⋮ On completeness of coherent states in noncommutative spaces with the generalised uncertainty principle ⋮ Asymptotic approximations of the continuous Hahn polynomials and their zeros

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