Double parameter recurrences for polynomials in bi-infinite Riordan matrices and some derived identities
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Publication:331170
DOI10.1016/j.laa.2016.09.020zbMath1347.05004OpenAlexW2519375431MaRDI QIDQ331170
José L. Ramírez, Ana Luzón, Manuel Alonso-Morón
Publication date: 26 October 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.2016.09.020
Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Combinatorics in computer science (68R05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)
Related Items (5)
Exponential-type extended Riordan arrays and reciprocity law for generalized Stirling numbers ⋮ Representation of doubly infinite matrices as non-commutative Laurent series ⋮ On Ward's differential calculus, Riordan matrices and Sheffer polynomials ⋮ Riordan arrays and related polynomial sequences ⋮ The group generated by Riordan involutions
Cites Work
- Some identities of the \(r\)-Whitney numbers
- Combinatorial sums through Riordan arrays
- On convolved generalized Fibonacci and Lucas polynomials
- Structural properties of Riordan matrices and extending the matrices
- Iterative processes related to Riordan arrays: the reciprocation and the inversion of power series
- Riordan arrays and harmonic number identities
- Incomplete Fibonacci and Lucas \(p\)-numbers
- Identities induced by Riordan arrays
- Incomplete generalized Jacobsthal and Jacobsthal-Lucas numbers
- Ultrametrics, Banach's fixed point theorem and the Riordan group
- Riordan matrices in the reciprocation of quadratic polynomials
- A generalization of Lucas polynomial sequence
- The Riordan group
- Pascal triangles, Catalan numbers and renewal arrays
- Riordan arrays and combinatorial sums
- Generating functions of the incomplete Fibonacci and Lucas numbers
- Some identities related to reciprocal functions
- Riordan arrays and the Abel-Gould identity
- Incomplete Fibonacci and Lucas numbers
- Determinant representations of polynomial sequences of Riordan type
- Generalized Fibonacci polynomials and fibonomial coefficients
- Representing polynomials as characteristic polynomials via the Stieltjes transform
- Complementary Riordan arrays
- Generalized harmonic numbers with Riordan arrays
- Negation of binomial coefficients
- Some results on convolved (p,q)-Fibonacci polynomials
- Recurrence relations for polynomial sequences via Riordan matrices
- Some inverse limit approaches to the Riordan group
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