Results 31 to 40 of about 454,219 (256)

Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials

Discussiones Mathematicae - General Algebra and Applications, 2020
In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the ...
Boughaba Souhila, Boussayoud Ali, Saba Nabiha   +2 more
doaj   +1 more source

Generalized Fibonacci Polynomials [PDF]

Turkish Journal of Analysis and Number Theory, 2016
In this study, we present generalized Fibonacci polynomials. We have used their Binet’s formula and generating function to derive the identities. The proofs of the main theorems are based on special functions, simple algebra and give several interesting properties involving them.
Bijendra Singh, Yashwant K. Panwar, Vitull K. Gupta   +2 more
openaire   +2 more sources

Some Algebraic Aspects of MorseCode Sequences [PDF]

Discrete Mathematics & Theoretical Computer Science, 2003
Morse code sequences are very useful to give combinatorial interpretations of various properties of Fibonacci numbers. In this note we study some algebraic and combinatorial aspects of Morse code sequences and obtain several q-analogues of Fibonacci
Johann Cigler
doaj   +2 more sources

Irreducibility of generalized Fibonacci polynomials

, 2022
Two ...
Florez, Rigoberto, Saunders, J. C.
openaire   +2 more sources

Bernoulli F-polynomials and Fibo–Bernoulli matrices

Advances in Difference Equations, 2019
In this article, we define the Euler–Fibonacci numbers, polynomials and their exponential generating function. Several relations are established involving the Bernoulli F-polynomials, the Euler–Fibonacci numbers and the Euler–Fibonacci polynomials. A new
Semra Kuş, Naim Tuglu, Taekyun Kim
doaj   +1 more source

Numerical study of 1D and 2D advection-diffusion-reaction equations using Lucas and Fibonacci polynomials

Arabian Journal of Mathematics, 2021
In this work, a numerical scheme based on combined Lucas and Fibonacci polynomials is proposed for one- and two-dimensional nonlinear advection–diffusion–reaction equations.
Ihteram Ali, S. Haq, K. Nisar, S. Arifeen   +3 more
semanticscholar   +1 more source

Some identities involving the bi-periodic Fibonacci and Lucas polynomials

AIMS Mathematics, 2023
In this paper, by using generating functions for the Chebyshev polynomials, we have obtained the convolution formulas involving the bi-periodic Fibonacci and Lucas polynomials.
Tingting Du, Zhengang Wu
doaj   +1 more source

Inversion Polynomials for Permutations Avoiding Consecutive Patterns [PDF]

, 2014
In 2012, Sagan and Savage introduced the notion of $st$-Wilf equivalence for a statistic $st$ and for sets of permutations that avoid particular permutation patterns which can be extended to generalized permutation patterns.
Cameron, Naiomi, Killpatrick, Kendra
core   +1 more source

On a class of generalized Humbert-Hermite polynomials via generalized Fibonacci polynomials

Turkish Journal of Mathematics, 2022
Version: 11.03.2022 Abstract: A unified presentation of a class of Humbert’s polynomials in two variables which generalizes the well known class of Gegenbauer, Humbert, Legendre, Chebycheff, Pincherle, Horadam, Kinney, Horadam–Pethe, Djordjević, Gould ...
Mushtaque Ahmed Pathan, Wassem Ahmad Khan   +1 more
semanticscholar   +1 more source

Novel Results for Two Generalized Classes of Fibonacci and Lucas Polynomials and Their Uses in the Reduction of Some Radicals

Mathematics, 2022
The goal of this study is to develop some new connection formulae between two generalized classes of Fibonacci and Lucas polynomials. Hypergeometric functions of the kind 2F1(z) are included in all connection coefficients for a specific z.
Waleed Mohamed Abd-Elhameed, Andreas N. Philippou, Nasr Anwer Zeyada   +2 more
doaj   +1 more source