Results 101 to 110 of about 302 (175)

Derivations and Identitites for Fibonacci and Lucas Polynomials

open access: yesThe Fibonacci Quarterly, 2013
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 ...
openaire   +2 more sources

Degenerate Bernoulli–Fibonacci and Euler–Fibonacci polynomials

open access: yesComplex Analysis and its Synergies
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.
openaire   +2 more sources

Improved adaptive tessellation rendering algorithm. [PDF]

open access: yesTechnol Health Care, 2023
Wang M   +5 more
europepmc   +1 more source

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