ASYMPTOTICS OF ORTHOGONAL POLYNOMIALS VIA RECURRENCE RELATIONS

DOI10.1142/S0219530512500108zbMath1242.41035arXiv1101.4371OpenAlexW2011553910WikidataQ56137285 ScholiaQ56137285MaRDI QIDQ2883133

Xiang-Sheng Wang, Roderick Wong

Publication date: 11 May 2012

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4371

zbMATH Keywords

asymptoticsorthogonal polynomialsrecurrence relationHermite polynomialsLegendre polynomials

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 (13)

Asymptotics of Racah polynomials with varying parameters ⋮ Asymptotics of the associated Pollaczek polynomials ⋮ Asymptotic expansion of orthogonal polynomials via difference equations ⋮ Full asymptotic expansions of the Landau constants via a difference equation approach ⋮ Plancherel-Rotach asymptotics of second-order difference equations with linear coefficients ⋮ Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems ⋮ Asymptotics of the Charlier polynomials via difference equation methods ⋮ Fast approach to the tracy-widom law at the edge of GOE and GUE ⋮ Asymptotics of linear recurrences ⋮ On the expected number of internal equilibria in random evolutionary games with correlated payoff matrix ⋮ Asymptotics of the Wilson polynomials ⋮ Persistence probability of a random polynomial arising from evolutionary game theory ⋮ Asymptotic approximations of the continuous Hahn polynomials and their zeros

Cites Work

• Asymptotic expansions for second-order linear difference equations
• Uniform asymptotic expansion of \(J_\nu(\nu a)\) via a difference equation
• Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
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