On some perturbed \(q\)-Laguerre-Hahn orthogonal \(q\)-polynomials

DOI10.1007/s10998-022-00463-9OpenAlexW4225158989MaRDI QIDQ2694912

Publication date: 4 April 2023

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-022-00463-9

zbMATH Keywords

regular form \(q\)-derivative operator orthogonal \(q\)-polynomials \(q\)-Laguerre-Hahn character standard perturbations

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)

Cites Work

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An introduction to the \(q\)-Laguerre-Hahn orthogonal \(q\)-polynomials
Sur la suite de polynômes orthogonaux associée à la forme \(u=\delta_ c+\lambda (x-c)^{-1}L\). (On the sequence of orthogonal polynomials associated with the form \(u=\delta_ c+\lambda (x-c)^{- 1}L)\)
The symmetrical \(H_q\)-semiclassical orthogonal polynomials of class one
Perturbations of Laguerre-Hahn linear functionals
Rational spectral transformations and orthogonal polynomials
The \(H_q\)-classical orthogonal polynomials
Darboux transformation and perturbation of linear functionals
Third degree classical forms
Difference equations for the co-recursive \(r\)th associated orthogonal polynomials of the \(D _{q}\)-Laguerre-Hahn class.
An introduction to the \(H_q\)-semiclassical orthogonal polynomials
Some semi-classical and Laguerre-Hahn forms defined by pseudo-functions
On the Christoffel product of a \(D\)-Laguerre-Hahn form by a polynomial of one degree
Laguerre-Freud equations associated with the D-Laguerre-Hahn forms of class one
Several formulas and identities related to Catalan-Qi and \(q\)-Catalan-Qi numbers
A large family of symmetric Laguerre–Hahn polynomials of class two
Perturbations of Laguerre–Hahn functional: modification by the derivative of a Dirac delta
Symmetric laguerre-hahn forms of classs=1
Characterization of the symmetricD-Laguerre–Hahn orthogonal polynomial sequences of even class via the quadratic decomposition
DARBOUX TRANSFORMS AND ORTHOGONAL POLYNOMIALS

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