Dunkl–Appelld-orthogonal polynomials
From MaRDI portal
Publication:5422421
DOI10.1080/10652460701445302zbMath1137.42005OpenAlexW2036867602MaRDI QIDQ5422421
Youssèf Ben Cheikh, Mohamed Gaied
Publication date: 19 October 2007
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652460701445302
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
Operational rules and d-orthogonal polynomials of Laguerre type ⋮ \(d\)-orthogonality and \(q\)-Askey-scheme ⋮ Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions ⋮ The \(L\)-Appell symmetric orthogonal polynomials ⋮ \(d\)-orthogonality of discrete \(q\)-Hermite type polynomials ⋮ \(d\)-orthogonality of a generalization of both Laguerre and Hermite polynomials ⋮ On a generalization of Szasz-Mirakyan operators including Dunkl-Appell polynomials ⋮ Some Appell-Dunkl sequences ⋮ On co-polynomials and \(d\)-orthogonality ⋮ Some generalized hypergeometric \(d\)-orthogonal polynomial sets ⋮ On \(d\)-orthogonal polynomials with Brenke type generating functions ⋮ A characterization of Dunkl-classical \(d\)-symmetric \(d\)-orthogonal polynomials and its applications ⋮ On linearization and connection coefficients for generalized Hermite polynomials ⋮ \(d\)-orthogonality of little \(q\)-Laguerre type polynomials ⋮ On the zeros of \(d\)-symmetric \(d\)-orthogonal polynomials ⋮ Some Characterization Problems Related to Sheffer Polynomial Sets ⋮ \(d\)-symmetric \(d\)-orthogonal polynomials of Brenke type ⋮ On semi‐classical d‐orthogonal polynomials ⋮ \(d\)-Orthogonality of Hermite type polynomials ⋮ Approximation by sequence of operators including Dunkl-Appell polynomials ⋮ Ond-orthogonal polynomials of Sheffer type ⋮ \(d\)-orthogonality of Humbert and Jacobi type polynomials ⋮ Dunkl-gamma type operators including Appell polynomials ⋮ Quadratic decomposition of Laguerre polynomials via lowering operators ⋮ A generalization of the symmetric classical polynomials: Hermite and Gegenbauer polynomials ⋮ On some operators varying the dimensional parameters of d-orthogonality ⋮ Hahn-Appell polynomials and their \(d\)-orthogonality ⋮ Bernoulli-Dunkl and Euler-Dunkl polynomials and their generalizations ⋮ On Askey-scheme and \(d\)-orthogonality. I: A characterization theorem ⋮ A Dunkl-Gamma type operator in terms of generalization of two-variable Hermite polynomials ⋮ Some new d-orthogonal polynomial sets of Sheffer type ⋮ Appell-Dunkl sequences and Hurwitz-Dunkl zeta functions
Cites Work
- Unnamed Item
- Unnamed Item
- \(d\)-orthogonality via generating functions
- Operational formulas connected with two generalizations of Hermite polynomials
- Multiple orthogonal polynomials
- Differential equation of Appell polynomials via the factorization method
- The \(q\)-Laguerre polynomials and related moment problems
- Some discrete \(d\)-orthogonal polynomial sets.
- The \(H_q\)-classical orthogonal polynomials
- Frobenius-Padé approximants for \(d\)-orthogonal series: theory and computational aspects
- Some discrete multiple orthogonal polynomials
- The relation of the \(d\)-orthogonal polynomials to the Appell polynomials
- Orthogonal polynomials with Brenke type generating functions
- LES POLYNÔMES ORTHOGONAUX „CLASSIQUES“ DE DIMENSION DEUX
- Integral Kernels with Reflection Group Invariance
- Singular Polynomials for Finite Reflection Groups
- Multiple orthogonal polynomials for classical weights
- A generalized hypergeometric d -orthogonal polynomial set
- Multiple orthogonal polynomials associated with macdonald functions
- The Relation of the Classical Orthogonal Polynomials to the Polynomials of Appell
- Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
- Some classical multiple orthogonal polynomials
- On some \((n-1)\)-symmetric linear functionals