Operational rules for a new family of d -orthogonal polynomials of Laguerre type

DOI10.1080/10652469.2023.2272758OpenAlexW4388302353MaRDI QIDQ6192211

Unnamed Author, Unnamed Author, Fateh Ellaggoune

Publication date: 12 February 2024

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

Full work available at URL: https://doi.org/10.1080/10652469.2023.2272758

zbMATH Keywords

generating functionconnection coefficients\(d\)-orthogonalityquasi-monomiality principlelowering operator\(d\)-orthogonal polynomials of Laguerre-type

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) Difference operators (39A70) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Cites Work

• Vector orthogonal relations. Vector QD-algorithm
• \(d\)-orthogonality via generating functions
• Multiple orthogonal polynomials
• Some results on quasi-monomiality.
• Connection problems via lowering operators
• On the classical \(d\)-orthogonal polynomials defined by certain generating functions. II.
• Une caractérisation des polynômes \(d\)-orthogonaux classiques
• Connection coefficients between Boas--Buck polynomial sets
• L'orthogonalité et les récurrences de polynômes d'ordre supérieur à deux
• LES POLYNÔMES ORTHOGONAUX „CLASSIQUES“ DE DIMENSION DEUX
• Ond-orthogonal polynomials of Sheffer type
• L-classical d-orthogonal polynomial sets of Sheffer type
• Some new d-orthogonal polynomial sets of Sheffer type
• Operational rules and d-orthogonal polynomials of Laguerre type
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