Ratio and Plancherel-Rotach asymptotics for Meixner-Sobolev orthogonal polynomials

DOI10.1016/S0377-0427(99)00281-2zbMath0984.42016MaRDI QIDQ1975672

Eduardo Paciência Godoy, Juan José Moreno Balcázar, Francisco Marcellán, IvÁn Area

Publication date: 30 April 2002

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

zbMATH Keywords

asymptoticsSobolev orthogonal polynomialsMeixner polynomialsPlancherel-Rotach asymptoticsscaled polynomialszeroes

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 (9)

UNIFORM ASYMPTOTIC APPROXIMATIONS FOR THE MEIXNER–SOBOLEV POLYNOMIALS ⋮ Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials ⋮ Some remarks on a paper by L. Carlitz ⋮ Analytic aspects of Sobolev orthogonal polynomials revisited ⋮ A generating function for nonstandard orthogonal polynomials involving differences: the Meixner case ⋮ \(\Delta\)-Sobolev orthogonal polynomials of Meixner type: asymptotics and limit relation ⋮ Inner products involving \(q\)-differences: The little \(q\)-Laguerre-Sobolev polynomials ⋮ New analytic properties of nonstandard Sobolev-type Charlier orthogonal polynomials ⋮ \(\varDelta\)-Meixner-Sobolev orthogonal polynomials: Mehler-Heine type formula and zeros

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