Asymptotics of multiple orthogonal polynomials associated with the modified Bessel functions of the first kind.

DOI10.1016/S0377-0427(02)00596-4zbMath1078.33010MaRDI QIDQ1874151

Walter Van Assche, Els Coussement

Publication date: 22 May 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Bessel functionsHermite-Padé approximationModifiedMultiple orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)

Related Items (15)

Asymptotics of multiple orthogonal polynomials associated with the modified Bessel functions of the first kind. ⋮ On the zeros of a class of generalized hypergeometric polynomials ⋮ Mixed type multiple orthogonal polynomials associated with the modified Bessel functions and products of two coupled random matrices ⋮ Recurrence relations and vector equilibrium problems arising from a model of non-intersecting squared Bessel paths ⋮ Noncolliding squared Bessel processes ⋮ The asymptotic zero distribution of multiple orthogonal polynomials associated with Macdonald functions ⋮ Multipoint Hermite-Padé approximations for beta functions ⋮ \(d\)-orthogonality of little \(q\)-Laguerre type polynomials ⋮ Non-intersecting squared Bessel paths: Critical time and double scaling limit ⋮ A note on biorthogonal ensembles ⋮ LARGE DEVIATIONS FOR A NON-CENTERED WISHART MATRIX ⋮ Smallest zeros of some types of orthogonal polynomials: asymptotics ⋮ Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights ⋮ Mehler-Heine asymptotics for multiple orthogonal polynomials ⋮ Asymptotic formulae of Mehler-Heine-type for certain classical polyorthogonal polynomials

Cites Work

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• Multiple orthogonal polynomials for classical weights
• Multiple orthogonal polynomials associated with macdonald functions
• Some classical multiple orthogonal polynomials
• Strong and Plancherel-Rotach asymptotics of non-diagonal Laguerre-Sobolev orthogonal polynomials
• Some properties of multiple orthogonal polynomials associated with Macdonald functions

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