Chebyshev-Fibonacci polynomial relations using generating functions

zbMath1497.11038arXiv2103.08015MaRDI QIDQ3390077

Robert Frontczak, T. P. Goy

Publication date: 24 March 2022

Full work available at URL: https://arxiv.org/abs/2103.08015

zbMATH Keywords

generating functionsChebyshev polynomialsFibonacci numbersbalancing polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

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Cites Work

• New hypergeometric connection formulae between Fibonacci and Chebyshev polynomials
• Sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials
• Chebyshev polynomials and their some interesting applications
• On Chebyshev polynomials, Fibonacci polynomials, and their derivatives
• Some new identities of Chebyshev polynomials and their applications
• Mersenne-Horadam identities using generating functions
• Identities for the generalized Fibonacci polynomial
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