Zero distribution of polynomials satisfying a differential-difference equation

DOI10.1142/S0219530514500390zbMath1303.33021arXiv1312.0698WikidataQ115245535 ScholiaQ115245535MaRDI QIDQ2931003

Walter Van Assche, Diego Ernesto Dominici

Publication date: 21 November 2014

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.0698

zbMATH Keywords

Stieltjes transformpolynomial sequencesdifferential-difference equationszero counting measure

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other functions coming from differential, difference and integral equations (33E30) Special sequences and polynomials (11B83)

Related Items (5)

Polynomial sequences associated with the moments of hypergeometric weights ⋮ Generalized pseudospectral method and zeros of orthogonal polynomials ⋮ On polynomial transformations preserving purely imaginary zeros* ⋮ Derivatives of tangent function and tangent numbers ⋮ Asymptotic zero distribution of Jacobi-Piñeiro and multiple Laguerre polynomials

Uses Software

• DLMF

Cites Work

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• Derivative Polynomials for Tangent and Secant
• Strong asymptotics of the generating polynomials of the Stirling numbers of the second kind
• Weak asymptotics for the generating polynomials of the Stirling numbers of the second kind

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