Generalized Humbert polynomials via generalized Fibonacci polynomials

DOI10.1016/j.amc.2017.02.050zbMath1411.11017OpenAlexW2600405718MaRDI QIDQ1736133

Hui Wang, Weiping Wang

Publication date: 29 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.02.050

zbMATH Keywords

combinatorial identitiesdeterminantsgeneralized \((p,q)\)-Fibonacci polynomialsgeneralized \((p,q)\)-Lucas polynomialsgeneralized Humbert polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (7)

Unnamed Item ⋮ On a class of generalized Humbert-Hermite polynomials via generalized Fibonacci polynomials ⋮ Explicit, determinantal, recursive formulas, and generating functions of generalized Humbert–Hermite polynomials via generalized Fibonacci polynomials ⋮ Riordan arrays and related polynomial sequences ⋮ Unnamed Item ⋮ A class of generalized Tribonacci sequences applied to counting problems ⋮ Some identities involving Fibonacci polynomials and Fibonacci numbers

Cites Work

• Some properties of convolved \(k\)-Fibonacci numbers
• Application of a composition of generating functions for obtaining explicit formulas of polynomials
• On convolved generalized Fibonacci and Lucas polynomials
• Identities involving generalized Fibonacci-type polynomials
• Sequences of non-Gegenbauer-Humbert polynomials meet the generalized Gegenbauer-Humbert polynomials
• On generalized Fibonacci and Lucas polynomials
• Some new results for the \((p, q)\)-Fibonacci and Lucas polynomials
• Incomplete generalized Jacobsthal and Jacobsthal-Lucas numbers
• Mixed convolutions of the Jacobsthal type
• A generalization of Lucas polynomial sequence
• On sequences of numbers and polynomials defined by linear recurrence relations of order 2
• Cycle indicators and special functions
• Convolutions of the generalized Morgan-Voyce polynomials
• Some properties of the \((p,q)\)-Fibonacci and \((p,q)\)-Lucas polynomials
• Inverse series relations and other expansions involving Humbert polynomials
• Polynomials related to generalized Chebyshev polynomials
• Some results on convolved (p,q)-Fibonacci polynomials
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