Generating functions for two-variable polynomials related to a family of Fibonacci type polynomials and numbers

DOI10.2298/FIL1604969OzbMath1459.11044OpenAlexW2402582552MaRDI QIDQ5279375

Gulsah Ozdemir, Yilmaz Simsek

Publication date: 19 July 2017

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1604969o

zbMATH Keywords

generating functionsChebyshev polynomialsFibonacci numbersHumbert polynomialsFibonacci polynomialsJacobsthal polynomialsVieta-Lucas polynomialsVieta-Fibonacci polynomialsGeganbauer polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (12)

Successive derivatives of Fibonacci type polynomials of higher order in two variables ⋮ Generating functions for special polynomials and numbers including Apostol-type and Humbert-type polynomials ⋮ An exponential equation involving k-Fibonacci numbers ⋮ A special approach to derive new formulas for some special numbers and polynomials ⋮ Formulas for special numbers and polynomials derived from functional equations of their generating functions ⋮ Construction of general forms of ordinary generating functions for more families of numbers and multiple variables polynomials ⋮ Recurrence relations, associated formulas, and combinatorial sums for some parametrically generalized polynomials arising from an analysis of the Laplace transform and generating functions ⋮ Identities and relations for Hermite-based Milne-Thomson polynomials associated with Fibonacci and Chebyshev polynomials ⋮ New families of three-variable polynomials coupled with well-known polynomials and numbers ⋮ Asymptotic behavior of reciprocal sum of two products of Fibonacci numbers ⋮ Unnamed Item ⋮ Unnamed Item

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