Certain multiple orthogonal polynomials and a discretization of the Bessel equation

DOI10.1215/kjm/1265899481zbMath1194.33012OpenAlexW1542324032MaRDI QIDQ965083

Tomohiro Takata

Publication date: 21 April 2010

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1265899481

zbMATH Keywords

discretizationrecurrence relationsMehler-Heine type formulaBessel equationmultiple orthogonal polynomials

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) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

Double Scaling Limit for Modified Jacobi-Angelesco Polynomials ⋮ Mehler-Heine type formulas for Charlier and Meixner polynomials ⋮ Mehler-Heine asymptotics for multiple orthogonal polynomials

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