Mehler-Heine asymptotics for multiple orthogonal polynomials

DOI10.1090/proc/13214zbMath1355.33014arXiv1408.6140OpenAlexW1651872008MaRDI QIDQ2832829

Walter Van Assche

Publication date: 14 November 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.6140

zbMATH Keywords

multiple orthogonal polynomialsMehler-Heine asymptotics

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)

Related Items (13)

On the zeros of a class of generalized hypergeometric polynomials ⋮ Asymptotics for some \(q\)-hypergeometric polynomials ⋮ Connection formulas for general discrete Sobolev polynomials: Mehler-Heine asymptotics ⋮ Multiple orthogonal polynomials with respect to Gauss' hypergeometric function ⋮ Multiple orthogonal polynomials associated with the exponential integral ⋮ Local universality in biorthogonal Laguerre ensembles ⋮ Asymptotic expansion of Legendre polynomials with respect to the index near \(x = 1\): generalization of the Mehler-Rayleigh formula ⋮ Multiple orthogonal polynomials associated with branched continued fractions for ratios of hypergeometric series ⋮ Asymptotics for varying discrete Sobolev orthogonal polynomials ⋮ Asymptotics of Jacobi-Piñeiro polynomials and functions of the second kind ⋮ \(d\)-orthogonal analogs of classical orthogonal polynomials ⋮ INTEGRAL REPRESENTATIONS FOR THE JACOBI–PINEIRO POLYNOMIALS AND THE FUNCTIONS OF THE SECOND KIND ⋮ The local universality of Muttalib–Borodin biorthogonal ensembles with parameter $\theta = \frac{1}{2}$

Uses Software

• DLMF

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