Local asymptotics of the ratio of orthogonal polynomials in the neighbourhood of an end-point of the support of the orthogonality measure

DOI10.1070/SM2001v192n02ABEH000547zbMath1019.42016OpenAlexW1976909358MaRDI QIDQ2759320

D. N. Toulyakov

Publication date: 3 January 2002

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

Full work available at URL: https://doi.org/10.1070/sm2001v192n02abeh000547

zbMATH Keywords

orthogonal polynomialsBessel functionsratio asymptoticsBernstein-Markov inequalityrecurrence coefficientsRiccati's equation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Other special orthogonal polynomials and functions (33C47)

Related Items (8)

Plancherel–Rotach type asymptotic formulae for multiple orthogonal Hermite polynomials and recurrence relations ⋮ Recurrence relations and asymptotics of colored Jones polynomials ⋮ On asymptotics of the sharp constants of the Markov-Bernshtein inequalities for the Sobolev spaces ⋮ Mehler-Heine type formulas for Charlier and Meixner polynomials ⋮ Asymptotic formulae of Mehler-Heine-type for certain classical polyorthogonal polynomials ⋮ Asymptotics of sharp constants of Markov-Bernstein inequalities in integral norm with Jacobi weight ⋮ Volume conjecture and WKB asymptotics ⋮ Pointwise asymptotics of the ratio of Jacobi-type polynomials

This page was built for publication: Local asymptotics of the ratio of orthogonal polynomials in the neighbourhood of an end-point of the support of the orthogonality measure