Symbolic approach to 2-orthogonal polynomial solutions of a third order differential equation
DOI10.1007/s11786-022-00525-8OpenAlexW4293229304WikidataQ114221731 ScholiaQ114221731MaRDI QIDQ2673369
Publication date: 9 June 2022
Published in: Mathematics in Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11786-022-00525-8
Symbolic computation and algebraic computation (68W30) 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) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Software, source code, etc. for problems pertaining to special functions (33-04)
Cites Work
- Unnamed Item
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- Vector orthogonal relations. Vector QD-algorithm
- Two-dimensional orthogonal polynomials, their associated sets and the co- recursive sets
- On 2-orthogonal polynomials of Laguerre type
- Variations around classical orthogonal polynomials. Connected problems
- Differential equations having orthogonal polynomial solutions
- Orthogonality of some polynomial sets via quasi-monomiality.
- Appell polynomial sequences with respect to some differential operators
- Une caractérisation des polynômes \(d\)-orthogonaux classiques
- The relation of the \(d\)-orthogonal polynomials to the Appell polynomials
- On a 2-orthogonal polynomial sequence via quadratic decomposition
- L'orthogonalité et les récurrences de polynômes d'ordre supérieur à deux
- LES POLYNÔMES ORTHOGONAUX „CLASSIQUES“ DE DIMENSION DEUX
- Around operators not increasing the degree of polynomials
- NEW RESULTS ABOUT ORTHOGONALITY PRESERVING MAPS
- Differential equations for multiple orthogonal polynomials with respect to classical weights: raising and lowering operators
- Some classical multiple orthogonal polynomials
