Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions.
From MaRDI portal
Publication:1890408
DOI10.1016/S0019-3577(04)90001-8zbMath1089.33005MaRDI QIDQ1890408
Jorge Arvesú, Francisco Marcellán, Renato Álvarez-Nodarse
Publication date: 3 January 2005
Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)
orthogonal polynomialshypergeometric functionskernelsclassical polynomialsquasi-definite linear functional
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) Other special orthogonal polynomials and functions (33C47) Linear relations (multivalued linear operators) (47A06)
Related Items
A non-symmetric second-degree semi-classical form of class one, On the Krall-type discrete polynomials, Recurrence relations for the moments of discrete semiclassical orthogonal polynomials, On semiclassical linear functionals of classs=2: classification and integral representations, Discrete semiclassical orthogonal polynomials of class 2, Fourth order partial differential equations for Krall-type orthogonal polynomials on the triangle, On the generalized Askey-Wilson polynomials, Orthogonal Laurent polynomials on the unit circle, extended CMV ordering and 2D Toda type integrable hierarchies, Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems, The algebraic equation \(xu=\lambda x^3 v\) in the symmetric case, Recurrence relations for the moments of discrete semiclassical functionals of class s≤2, Orthogonal polynomials in several variables for measures with mass points, Points of nonsquareness of Lorentz spaces \(\Gamma_{p, w}\), Semi-classical linear functionals of class three: the symmetric case, Points of nonsquareness of Lorentz spaces \(\Gamma_{p, w}\), Division problem of a regular form: the case \(x^2u=\lambda xv\), Limit relations between \(q\)-Krall type orthogonal polynomials, On the Krall-type polynomials on \(q\)-quadratic lattices, Moment perturbation of matrix polynomials, Krall-type orthogonal polynomials in several variables, Three term relations for multivariate Uvarov orthogonal polynomials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- WKB approximation and Krall-type orthogonal polynomials
- On differential equations for orthogonal polynomials
- Some functions that generalize the Krall-Laguerre polynomials
- Spectral properties of solutions of hypergeometric-type differential equations
- An electrostatics model for zeros of general orthogonal polynomials
- On a modification of the Jacobi linear functional: Asymptotic properties and zeros of the corresponding orthogonal polynomials
- A generalization of the classical Laguerre polynomials
- BOCHNER-KRALL ORTHOGONAL POLYNOMIALS
- Some Extension of the bessel-type orthogonal polynomials
- Orthogonal polynomials associated with some modifications of a linear functional
- Krall-type polynomials via the Heine formula
- More on Electrostatic Models for Zeros of Orthagonal Polynomials
- A generalization of the class laguerre polynomials: asymptotic properties and zeros
- Orthogonal polynomial solutions of linear ordinary differential equations
