Mehler-Heine type formulas for Charlier and Meixner polynomials (Q5963789)

scientific article; zbMATH DE number 6544533

Language	Label	Description	Also known as
English	Mehler-Heine type formulas for Charlier and Meixner polynomials	scientific article; zbMATH DE number 6544533

Statements

instance of

scholarly article

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title

Mehler-Heine type formulas for Charlier and Meixner polynomials (English)

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author

Diego Ernesto Dominici

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published in

The Ramanujan Journal

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publication date

23 February 2016

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full work available at URL

https://arxiv.org/abs/1406.6193

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zbMATH Keywords

Mehler-Heine formulas

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discrete orthogonal polynomials

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associated polynomials

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Stieltjes transforms

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A new approach to the asymptotics of Sobolev type orthogonal polynomials

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Q4222737

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Q3362807

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Asymptotics of Meixner polynomials and Christoffel-Darboux kernels

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Difference equation for associated polynomials on a linear lattice

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Q4673241

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Q3397487

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Markov's theorem revisited

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Indeterminate moment problems and the theory of entire functions

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Uniform asymptotic expansion of Charlier polynomials

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A Mehler-Heine formula for disk polynomials

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Some asymptotics for Sobolev orthogonal polynomials involving Gegenbauer weights

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A Mehler--Heine-type formula for Hermite--Sobolev orthogonal polynomials

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Q4170993

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Hamburger Moment Problems and Orthogonal Polynomials

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Une formule asymptotique du type Mehler-Heine pour les zonoles d'un espace reimannien symétrique

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ASYMPTOTICS AND ZEROS OF SYMMETRICALLY COHERENT PAIRS OF HERMITE TYPE

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Double Scaling Limit for Modified Jacobi-Angelesco Polynomials

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On Lommel and Bessel Polynomials

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Inequalities for zeros of associated polynomials and derivatives of orthogonal polynomials

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Asymptotic analysis of the Askey-scheme. I: From Krawtchouk to Charlier

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Discrete semiclassical orthogonal polynomials of class one

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Asymptotic properties of Laguerre-Sobolev type orthogonal polynomials

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Uniform asymptotic expansions for Charlier polynomials

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Mehler–Heine formulas for orthogonal polynomials with respect to the modified Jacobi weight

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Asymptotic properties of orthogonal polynomials with respect to a non-discrete Jacobi-Sobolev inner product

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On Fourth-order Difference Equations for Orthogonal Polynomials of a Discrete Variable: Derivation, Factorization and Solutions

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Plancherel-Rotach asymptotics for the Charlier polynomials

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Q4039888

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A Simple Proof of 1 + 1 2 2 + 1 3 2 + ⋯ = π 2 6 and Related Identities

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Linear birth and death models and associated Laguerre and Meixner polynomials

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Uniform asymptotic expansions for Meixner polynomials

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Q3231324

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Hypergeometric Orthogonal Polynomials and Their q-Analogues

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On the Zeros of the Incomplete Gamma Function

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Fourth-order difference equation for the associated Meixner and Charlier polynomials

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On the fourth-order difference equation for the associated Meixner polynomials

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Probabilistic proofs of asymptotic formulas for some classical polynomials

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On Constructing Distribution Functions; with Applications to Lommel Polynomials and Bessel Functions

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Smallest zeros of some types of orthogonal polynomials: asymptotics

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A generating function for nonstandard orthogonal polynomials involving differences: the Meixner case

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Q3507973

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Q3579593

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THE RIEMANN–HILBERT APPROACH TO GLOBAL ASYMPTOTICS OF DISCRETE ORTHOGONAL POLYNOMIALS WITH INFINITE NODES

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The associated classical orthogonal polynomials

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Q4039375

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Q5845997

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The classical moment problem as a self-adjoint finite difference operator

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A generalization of classical orthogonal polynomials and the convergence of simultaneous Padé approximants

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Mean Convergence of Fourier Series on Compact Lie Groups

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Q4061445

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Asymptotic formulae of Mehler-Heine-type for certain classical polyorthogonal polynomials

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Certain multiple orthogonal polynomials and a discretization of the Bessel equation

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

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Difference equations having bases with powerlike growth which are perturbed by a spectral parameter

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From asymptotics to spectral measures: determinate versus indeterminate moment problems

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Orthogonal polynomials, associated polynomials and functions of the second kind

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Some classical multiple orthogonal polynomials

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Birth-death processes and associated polynomials.

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Global Asymptotics of the Meixner Polynomials

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Q4856171

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Orthogonal polynomials and their asymptotic behavior

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describes a project that uses

Digital Library of Mathematical Functions

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Identifiers

zbMATH Open document ID

1332.41019

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Mathematics Subject Classification ID

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10.1007/S11139-014-9665-5

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Sitelinks

Mathematics(1 entry)

mardi Publication:5963789