Results 71 to 80 of about 1,083 (122)

Some beautiful q-analogues of Fibonacci and Lucas polynomials [PDF]

arXiv, 2011
We give an overview about well-known basic properties of two classes of q-Fibonacci and q-Lucas polynomials and offer a common generalization.
arxiv  

On The Jacobsthal-Padovan p-Sequences in Groups

Topological Algebra and its Applications, 2017
In [5], Deveci defined the Jacobsthal-Padovan p-sequence. In this paper,we extend this sequence to groups. Then we define the Jacobsthal-Padovan p-orbit and we study the Jacobsthal-Padovan p-orbits of the finite groups in detail.
Aküzüm Yesim, Deveci Ömür
doaj   +1 more source

Analytic Properties of the Apostol-Vu Multiple Fibonacci Zeta Functions

Discussiones Mathematicae - General Algebra and Applications, 2020
In this note we study the analytic continuation of the Apostol-Vu multiple Fibonacci zeta functions ζAVF,k(s1,…,sk,sk+1)=∑1 ...
Dutta Utkal Keshari, Ray Prasanta Kumar
doaj   +1 more source

Incomplete Generalized Fibonacci and Lucas Polynomials [PDF]

arXiv, 2013
In this paper, we define the incomplete h(x)-Fibonacci and h(x)-Lucas polynomials, we study recurrence relations and some properties of these ...
arxiv  

Integers representable as differences of linear recurrence sequences. [PDF]

Res Number Theory, 2021
Tichy R, Vukusic I, Yang D, Ziegler V.
europepmc   +1 more source

On a class of reducible trinomials [PDF]

arXiv, 2013
In this short note we give an expression for some numbers $n$ such that the polynomial $x^{2p}-nx^p+1$ is reducible.
arxiv  

Equations with Solution in Terms of Fibonacci and Lucas Sequences

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
The main results characterize the equations (2.1) and (2.10) whose solutions are linear combinations with rational coefficients of at most two terms of classical Fibonacci and Lucas sequences.
Andreescu Titu, Andrica Dorin
doaj   +1 more source

Zeckendorf arithmetic for Lucas numbers [PDF]

arXiv, 2015
In this article we will be dedicated some algorithms of addition, subtraction, multiplication and division of two positive integers using Zeckendorf form. Such results find application in coding theory.
arxiv  

Generalized Horadam Polynomials and Numbers

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
We consider the polynomials hn,m(x) (m ≥ 2) and the numbers hn,m (x = 1), which are the generalized Horadam polynomials and the generalized Horadam numbers, respectively. We also consider the polynomials h(s)n,m(x)- convolutions of the polynomials hn,m(x)
Djordjevic Snezana S., Djordjevic Gospava B.   +1 more
doaj   +1 more source

Two Extensions of the Sury's Identity [PDF]

arXiv, 2015
In this note we prove two extensions of the Sury's identity.
arxiv