Riordan arrays and \(d\)-orthogonality
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Publication:501290
DOI10.1016/j.laa.2016.11.039zbMath1354.33006OpenAlexW2557945548MaRDI QIDQ501290
Publication date: 29 December 2016
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2016.11.039
recurrence relationRiordan arrayproduction matrix\(d\)-orthogonal polynomialsexponential Riordan array\(d\)-Chebyshev polynomials
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 (2)
Horizontal and vertical formulas for exponential Riordan matrices and their applications ⋮ On a class of polynomial sets generated by F(xt−R(t))
Cites Work
- Recurrence relations for the Sheffer sequences
- Production matrices and riordan arrays
- An algebraic structure for Faber polynomials
- Generalized Riordan arrays
- Sequence characterization of Riordan arrays
- The Riordan group
- Pascal triangles, Catalan numbers and renewal arrays
- Riordan arrays and combinatorial sums
- On \(d\)-orthogonal Tchebychev polynomials. I
- On \(d\)-orthogonal Tchebychev polynomials. II
- Production matrices
- Some identities related to reciprocal functions
- Bijections and the Riordan group
- Riordan arrays and the Abel-Gould identity
- Some algebraic structure of the Riordan group
- A divisibility property for a subgroup of Riordan matrices
- The Sheffer group and the Riordan group
- Generalized harmonic numbers with Riordan arrays
- Riordan group involutions
- Riordan arrays, orthogonal polynomials as moments, and Hankel transforms
- L'orthogonalité et les récurrences de polynômes d'ordre supérieur à deux
- On Some Alternative Characterizations of Riordan Arrays
- d-Orthogonal Faber polynomials
- On associated and co-recursive d-orthogonal polynomials
- Recurrence relations for polynomial sequences via Riordan matrices
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