Results 21 to 30 of about 466,283 (262)
Indian Journal of Pure and Applied Mathematics, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
TUĞLU, NAİM +2 more
openaire +5 more sources
Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers [PDF]
Mathematics, 2018 The aim of this paper is to research the structural properties of the Fibonacci polynomials and Fibonacci numbers and obtain some identities. To achieve this purpose, we first introduce a new second-order nonlinear recursive sequence. Then, we obtain our
Yuankui Ma, Wenpeng Zhang
doaj +3 more sources
Incomplete Bivariate Fibonacci and Lucas 𝑝-Polynomials [PDF]
Discrete Dynamics in Nature and Society, 2012 We define the incomplete bivariate Fibonacci and Lucas 𝑝-polynomials. In the case 𝑥=1, 𝑦=1, we obtain the incomplete Fibonacci and Lucas 𝑝-numbers. If 𝑥=2, 𝑦=1, we have the incomplete Pell and Pell-Lucas 𝑝-numbers.
Dursun Tasci +2 more
doaj +3 more sources
A note on Q-matrices and higher order Fibonacci polynomials [PDF]
, 2021 The results described in a recent article, relative to a representation formula for the generalized Fibonacci sequences in terms of Q-matrices are extended to the case of Fibonacci, Tribonacci and R-bonacci polynomials.
Paolo Emilio Ricci
openalex +2 more sources
Some Properties of Fibonacci Numbers, Generalized Fibonacci Numbers and\n Generalized Fibonacci Polynomial Sequences [PDF]
Kyungpook mathematical journal, 2012 In this paper we study the Fibonacci numbers and derive some interesting properties and recurrence relations. We prove some charecterizations for $F_p$, where $p$ is a prime of a certain type. We also define period of a Fibonacci sequence modulo an integer, $m$ and derive certain interesting properties related to them.
Alexandre Laugier, Manjil P. Saikia
openalex +5 more sources
“Generating matrix for Generalized Fibonacci numbers and Fibonacci polynomials
Journal of Physics: Conference Series, 2022 AbstractMany researchers have been working on recurrence relation sequences of numbers and polynomials which are useful topic not only in mathematics but also in physics, economics and various applications in many other fields. There are many useful identities on recurrence relation sequence but there main problem to find any term of recurrence ...
Mannu Arya, Vipin Verma
openaire +2 more sources
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.
Yashwant K. Panwar, B. Singh, V.K. Gupta
openaire +1 more source
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 +2 more
doaj +1 more source
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
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