\(d\)-orthogonality of discrete \(q\)-Hermite type polynomials
From MaRDI portal
Publication:387369
DOI10.1016/j.jat.2012.07.002zbMath1284.33013OpenAlexW48108572WikidataQ57257162 ScholiaQ57257162MaRDI QIDQ387369
Publication date: 23 December 2013
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2012.07.002
Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)
Related Items (5)
\(d\)-orthogonality and \(q\)-Askey-scheme ⋮ \(d\)-orthogonality of a generalization of both Laguerre and Hermite polynomials ⋮ Limit relations involving 2-orthogonal polynomials ⋮ Asymptotic relations involving \(d\)-orthogonal polynomials ⋮ Some new d-orthogonal polynomial sets of Sheffer type
Cites Work
- Vector orthogonal relations. Vector QD-algorithm
- \(d\)-orthogonality of little \(q\)-Laguerre type polynomials
- Two-dimensional orthogonal polynomials, their associated sets and the co- recursive sets
- \(d\)-orthogonality via generating functions
- \(d\)-Orthogonality of Hermite type polynomials
- On Askey-scheme and \(d\)-orthogonality. I: A characterization theorem
- Operational formulas connected with two generalizations of Hermite polynomials
- On \(d\)-orthogonal Tchebychev polynomials. I
- On \(d\)-orthogonal Tchebychev polynomials. II
- Some discrete \(d\)-orthogonal polynomial sets.
- On two-orthogonal polynomials related to the Bateman's \(J_n^{u,v}\)-function
- On the classical \(d\)-orthogonal polynomials defined by certain generating functions. II.
- Une caractérisation des polynômes \(d\)-orthogonaux classiques
- The relation of the \(d\)-orthogonal polynomials to the Appell polynomials
- On the classical \(d\)-orthogonal polynomials defined by certain generating functions. I
- Some generalized hypergeometric \(d\)-orthogonal polynomial sets
- \(d\)-orthogonality of Humbert and Jacobi type polynomials
- Orthogonal polynomials of hypergeometric type
- Orthogonal polynomials with Brenke type generating functions
- The special functions and their approximations. Vol. I, II
- L'orthogonalité et les récurrences de polynômes d'ordre supérieur à deux
- LES POLYNÔMES ORTHOGONAUX „CLASSIQUES“ DE DIMENSION DEUX
- A generalized hypergeometric d -orthogonal polynomial set
- Dunkl–Appelld-orthogonal polynomials
- d-Orthogonal Faber polynomials
- Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: \(d\)-orthogonality of discrete \(q\)-Hermite type polynomials