Some results on quasi-monomiality.
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Publication:1408296
DOI10.1016/S0096-3003(02)00321-1zbMath1041.33008OpenAlexW1981479585WikidataQ125375069 ScholiaQ125375069MaRDI QIDQ1408296
Publication date: 15 September 2003
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00321-1
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Difference operators (39A70)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Operational formulas connected with two generalizations of Hermite polynomials
- Differential equation of Appell polynomials via the factorization method
- The Laguerre and Legendre polynomials from an operational point of view.
- The relation of the \(d\)-orthogonal polynomials to the Appell polynomials
- Differential equations satisfied by the components with respect to the cyclic group of order \(n\) of some special functions
- LES POLYNÔMES ORTHOGONAUX „CLASSIQUES“ DE DIMENSION DEUX
- Generating Functions for Bessel and Related Polynomials
- On Generating Functions of Polynomial Systems
- AN EXTENSION OF HYPERGEOMETRIC FUNCTIONS (I)
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