On the modifications of semi-classical orthogonal polynomials on nonuniform lattices

DOI10.1016/J.JMAA.2016.06.041zbMath1350.33016OpenAlexW2466799540MaRDI QIDQ323871

P. Njionou Sadjang, Salifou Mboutngam, Mama Foupouagnigni

Publication date: 10 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.06.041

zbMATH Keywords

classical orthogonal polynomialslinear functionalsnonuniform latticesemi-classicalsemi-classical orthogonal polynomials

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)

Related Items (5)

On the modifications of semi-classical orthogonal polynomials on nonuniform lattices ⋮ On the functional equation for classical orthogonal polynomials on lattices ⋮ Characterization of orthogonal polynomials on lattices ⋮ Discrete semi-classical orthogonal polynomials of class one on quadratic lattices ⋮ On the second-order holonomic equation for Sobolev-type orthogonal polynomials

Cites Work

• On the modifications of semi-classical orthogonal polynomials on nonuniform lattices
• On solutions of holonomic divided-difference equations on nonuniform lattices
• Dunkl shift operators and Bannai-Ito polynomials
• On the assignment of a Dirac-mass for a regular and semi-classical form
• On semi-classical linear functionals of class \(s=1\). Classification and integral representations
• On classical orthogonal polynomials
• Characterization theorem for classical orthogonal polynomials on non-uniform lattices: the functional approach
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• On difference equations for orthogonal polynomials on nonuniform lattices¹

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