Perturbations of Laguerre–Hahn functional: modification by the derivative of a Dirac delta

DOI10.1080/10652460802493177zbMath1175.33005OpenAlexW1970053472MaRDI QIDQ3605079

Herbert Dueñas, E. Prianes, Francisco Marcellán

Publication date: 19 February 2009

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460802493177

zbMATH Keywords

orthogonal polynomialsLaguerre polynomialsLaguerre-Hahn polynomialsderivative of a Dirac delta

Mathematics Subject Classification ID

Other special orthogonal polynomials and functions (33C47)

Related Items (8)

The extended Laguerre polynomials \(\{A_{q, n}^{(\alpha)}(x)\}\) involving \(_qF_q\), \(q>2\) ⋮ Some Laguerre-Hahn orthogonal polynomials of class one ⋮ Laguerre–Hahn orthogonal polynomials on the real line ⋮ Characterization of theD-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition ⋮ On some perturbed \(q\)-Laguerre-Hahn orthogonal \(q\)-polynomials ⋮ Laguerre-Freud equations associated with the D-Laguerre-Hahn forms of class one ⋮ A large family of symmetric Laguerre–Hahn polynomials of class two ⋮ Discrete Painlevé equations for recurrence coefficients of Laguerre–Hahn orthogonal polynomials of class one

Cites Work

• Unnamed Item
• A generalization of the classical Laguerre polynomials
• CONVERGENCE OF PADÉ APPROXIMANTS OF STIELTJES TYPE MEROMORPHIC FUNCTIONS AND COMPARATIVE ASYMPTOTICS FOR ORTHOGONAL POLYNOMIALS
• Orthogonal polynomials associated with some modifications of a linear functional
• A generalization of the class laguerre polynomials: asymptotic properties and zeros

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