Results 61 to 70 of about 1,263 (112)
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
Inverse and Moore-Penrose inverse of Toeplitz matrices with classical Horadam numbers
, 2017 For integers s,k with s 0 and k 0 , we define a class of lower triangular Toeplitz matrices U (s,k) n of type (s,k) , whose non-zero entries are the classical Horadam numbers U (a,b) i .
Shouqiang Shen, W. Liu, Lihua Feng
semanticscholar +1 more source
On the sum of the reciprocals of k-generalized Fibonacci numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this note, we that if {Fn(k)}n≥0{\left\{ {F_n^{\left( k \right)}} \right\}_{n \ge 0}} denotes the k-generalized Fibonacci sequence then for n ≥ 2 the closest integer to the reciprocal of ∑m≥n1/Fm(k)\sum\nolimits_{m \ge n} {1/F_m^{\left( k \right)}} is
Alahmadi Adel, Luca Florian
doaj +1 more source
On a New Generalization of Pell Hybrid Numbers
Annales Mathematicae SilesianaeIn this paper, we define and study a new one-parameter generalization of the Pell hybrid numbers. Based on the definition of r-Pell numbers, we define the r-Pell hybrid numbers.
Bród Dorota +2 more
doaj +1 more source
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
On the order of appearance of the difference of two Lucas numbers
, 2018 Let Fn be the nth Fibonacci number and let Ln be the nth Lucas number. The order of appearance ́.n/ of a natural number n is defined as the smallest natural number k such that n divides Fk . For instance, ́.Ln/D 2n, for all n > 2.
P. Trojovský
semanticscholar +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
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. +1 more
doaj +1 more source
On Doubled and Quadrupled Fibonacci Type Sequences
Annales Mathematicae SilesianaeIn this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled ...
Yilmaz Nur Şeyma +3 more
doaj +1 more source
Representing derivatives of Chebyshev polynomials by Chebyshev polynomials and related questions
Open Mathematics, 2017 A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.
Prodinger Helmut
doaj +1 more source