Results 61 to 70 of about 143 (119)

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

Generalized Fibonacci Sequences

, 2012
The Fibonacci sequence is famous for possessing wonderful and amazing properties. In this paper, we introduce generalized Fibonacci sequences and related identities consisting even and odd terms.
V K Gupta, Omprakash Sikhwal, Yashwant K Panwar   +2 more
core  

On topological properties of spaces obtained by the double band matrix

Open Mathematics, 2017
Let λ denote any one of the spaces ℓ∞ and ℓp and λ(Ť) be the domain of the band matrix Ť. We study ℓp(Ť) for 1 ≤ p ≤ ∞ and give some inclusions and its topological properties.
Zeren Suzan, Bektaş Çiğdem
doaj   +1 more source

Eventually monotonic solutions of the generalized Fibonacci equations

Open Mathematics
The purpose of this work is, for the first time, to introduce some results about the eventually monotonic solutions of the generalized Fibonacci equations. In addition, some concrete examples are given to illustrate the theoretical results.
Özban Ahmet Yaşar, Özdemir Halim
doaj   +1 more source

Fibonacci Cartan and Lucas Cartan numbers

Open Mathematics
This study introduces Fibonacci Cartan and Lucas Cartan numbers, extending the classical Fibonacci and Lucas sequences into the framework of Cartan numbers.
Öztürk İskender, Çakır Hasan
doaj   +1 more source

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

Fibonacci Sums Modulo 5

Annales Mathematicae Silesianae
We develop closed form expressions for various finite binomial Fibonacci and Lucas sums depending on the modulo 5 nature of the upper summation limit. Our expressions are inferred from some trigonometric identities.
Adegoke Kunle, Frontczak Robert, Goy Taras   +2 more
doaj   +1 more source

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

On Mersenne Numbers and their Bihyperbolic Generalizations

Annales Mathematicae Silesianae
In this paper, we introduce Mersenne and Mersenne–Lucas bihyperbolic numbers, i.e. bihyperbolic numbers whose coefficients are consecutive Mersenne and Mersenne–Lucas numbers.
Bród Dorota, Szynal-Liana Anetta
doaj   +1 more source

Padovan numbers which are palindromic concatenations of two distinct repdigits. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2021
Chalebgwa TP, Ddamulira M.
europepmc   +1 more source