A generalization of the class laguerre polynomials: asymptotic properties and zeros

DOI10.1080/00036819608840488zbMath0866.33005OpenAlexW2072795201WikidataQ58173334 ScholiaQ58173334MaRDI QIDQ5285388

Renato Álvarez-Nodarse, Francisco Marcellán

Publication date: 20 July 1997

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819608840488

zbMATH Keywords

zerosrecurrence relationLaguerre polynomialsdiscrete measure

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

Some Extension of the bessel-type orthogonal polynomials, Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions., Asymptotic properties of generalized Laguerre orthogonal polynomials., Delta perturbation of a moment functional, Perturbations of Laguerre–Hahn functional: modification by the derivative of a Dirac delta, Perturbations of Laguerre-Hahn linear functionals

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Orthogonal polynomials and measures with end point masses
• Spectral properties of the biconfluent Heun differential equation
• On the assignment of a Dirac-mass for a regular and semi-classical form
• Spectral properties of solutions of hypergeometric-type differential equations
• Asymptotics for orthogonal polynomials
• A generalization of the classical Laguerre polynomials
• CONVERGENCE OF PADÉ APPROXIMANTS OF STIELTJES TYPE MEROMORPHIC FUNCTIONS AND COMPARATIVE ASYMPTOTICS FOR ORTHOGONAL POLYNOMIALS
• Differential Equation for Classical-Type Orthogonal Polynomials
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)
• A Generalization of Laguerre Polynomials