Derivations and Identitites for Fibonacci and Lucas Polynomials
We introduce the notion of Fibonacci and Lucas derivations of the polynomial algebras and prove that any element of kernel of the derivations defines a polynomial identity for the Fibonacci and Lucas polynomials. Also, we prove that any polynomial identity for Appel polynomial yields a polynomial identity for the Fibonacci and Lucas polynomials and ...
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Degenerate Bernoulli–Fibonacci and Euler–Fibonacci polynomials
In this article, we first introduce the degenerate Bernoulli–Fibonacci numbers and degenerate Euler–Fibonacci numbers. Using these definitions, we then define the degenerate Bernoulli–Fibonacci polynomials and degenerate Euler–Fibonacci polynomials and examine their graphs for several initial values of λ.
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Realizing string-net condensation: Fibonacci anyon braiding for universal gates and sampling chromatic polynomials. [PDF]
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Improved adaptive tessellation rendering algorithm. [PDF]
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Taylor-Galerkin method for solving higher-order nonlinear complex differential equations. [PDF]
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Entropy-Variance Curves of Binary Sequences Generated by Random Substitutions of Constant Length. [PDF]
Nuño JC, Muñoz FJ.
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High-Order Exponentially Fitted Methods for Accurate Prediction of Milling Stability. [PDF]
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