Results 31 to 40 of about 1,263 (112)
Invariance of recurrence sequences under a galois group
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 327-334, 1996., 1995 Let F be a Galois field of order q, k a fixed positive integer and R = Fk×k[D] where D is an indeterminate. Let L be a field extension of F of degree k. We identify Lf with fk×1 via a fixed normal basis B of L over F. The F‐vector space Γk(F)( = Γ(L)) of all sequences over Fk×1 is a left R‐module. For any regular f(D) ∈ R, Ωk(f(D)) = {S ∈ Γk(F) : f(D)S
Hassan Al-Zaid, Surjeet Singh
wiley +1 more source
Annales Mathematicae Silesianae, 2020 Let {rn}n∈ be a strictly increasing sequence of nonnegative real numbers satisfying the asymptotic formula rn ~ αβn, where α, β are real numbers with α > 0 and β > 1. In this note we prove some limits that connect this sequence to the number e.
Farhadian Reza, Jakimczuk Rafael
doaj +1 more source
On the norms of an r-circulant matrix with the generalized k-Horadam numbers
, 2013 In this paper, we present new upper and lower bounds for the spectral norm of an r-circulant matrix H=Cr(Hk,0,Hk,1,Hk,2,…,Hk,n−1) whose entries are the generalized k-Horadam numbers.
Y. Yazlık, N. Taskara
semanticscholar +1 more source
A Note on Two Fundamental Recursive Sequences
Annales Mathematicae Silesianae, 2021 In this note, we establish some general results for two fundamental recursive sequences that are the basis of many well-known recursive sequences, as the Fibonacci sequence, Lucas sequence, Pell sequence, Pell-Lucas sequence, etc.
Farhadian Reza, Jakimczuk Rafael
doaj +1 more source
Some identities on conditional sequences by using matrix method
, 2017 In this paper, we consider the Fibonacci conditional sequence ffng and the Lucas conditional sequence flng. We derive some properties of Fibonacci and Lucas conditional sequences by using the matrix method.
E. Tan, A. Ekin
semanticscholar +1 more source
On Quaternion-Gaussian Fibonacci Numbers and Their Properties
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 We study properties of Gaussian Fibonacci numbers. We start with some basic identities. Thereafter, we focus on properties of the quaternions that accept gaussian Fibonacci numbers as coefficients.
Halici Serpil, Cerda-Morales Gamaliel
doaj +1 more source
Several identities involving the Fibonacci polynomials and Lucas polynomials
Journal of Inequalities and Applications, 2013 In this paper, the authors consider infinite sums derived from the reciprocals of the Fibonacci polynomials and Lucas polynomials. Then applying the floor function to the reciprocals of these sums, the authors obtain several new identities involving the ...
Zhengang Wu, Wenpeng Zhang
semanticscholar +1 more source
Generalized Fibonacci Numbers and Blackwell's Renewal Theorem
, 2010 We investigate a connection between generalized Fibonacci numbers and renewal theory for stochastic processes. Using Blackwell's renewal theorem we find an approximation to the generalized Fibonacci numbers.
Asmussen +9 more
core +1 more source
One-Parameter Generalization of Dual-Hyperbolic Jacobsthal Numbers
Annales Mathematicae Silesianae, 2023 In this paper, we introduce one-parameter generalization of dual-hyperbolic Jacobsthal numbers – dual-hyperbolic r-Jacobsthal numbers. We present some properties of them, among others the Binet formula, Catalan, Cassini, and d’Ocagne identities. Moreover,
Bród Dorota +2 more
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On the sum of a prime and a Fibonacci number
, 2010 We show that the set of the numbers that are the sum of a prime and a Fibonacci number has positive lower asymptotic ...
Lee, K. S. Enoch
core +1 more source