Results 21 to 30 of about 1,083 (122)
Stability of second‐order recurrences modulo pr
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 4, Page 225-241, 2000., 2000 The concept of sequence stability generalizes the idea of uniform distribution. A sequence is p‐stable if the set of residue frequencies of the sequence reduced modulo pr is eventually constant as a function of r. The authors identify and characterize the stability of second‐order recurrences modulo odd primes.
Lawrence Somer, Walter Carlip
wiley +1 more source
Some topological and geometrical properties of new Banach sequence spaces
, 2013 In the present paper, we introduce a new band matrix Fˆ and define the sequence space ℓp(Fˆ)={x=(xk)∈ω:∑k|fkfk+1xk−fk+1fkxk−1 ...
E. Kara
semanticscholar +1 more source
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
Two generalizations of dual-complex Lucas-balancing numbers
Acta Universitatis Sapientiae: Mathematica, 2022 In this paper, we study two generalizations of dual-complex Lucas-balancing numbers: dual-complex k-Lucas balancing numbers and dual-complex k-Lucas-balancing numbers.
Bród Dorota +2 more
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On the solutions of two special types of Riccati difference equation via Fibonacci numbers
, 2013 In this study, we investigate the solutions of two special types of the Riccati difference equation xn+1=11+xn and yn+1=1−1+yn such that their solutions are associated with Fibonacci numbers.MSC: 11B39, 39A10, 39A13.
D. T. Tollu, Y. Yazlık, N. Taskara
semanticscholar +1 more source
Fibonacci words in hyperbolic Pascal triangles
Acta Universitatis Sapientiae: Mathematica, 2017 The hyperbolic Pascal triangle HPT4,q (q ≥ 5) is a new mathematical construction, which is a geometrical generalization of Pascal’s arithmetical triangle.
Németh László
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On Quaternion Gaussian Bronze Fibonacci Numbers
Annales Mathematicae Silesianae, 2022 In the present work, a new sequence of quaternions related to the Gaussian Bronze numbers is defined and studied. Binet’s formula, generating function and certain properties and identities are provided.
Catarino Paula, Ricardo Sandra
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Bounds for the spectral radius of nonnegative matrices and generalized Fibonacci matrices
Special Matrices, 2022 In this article, we determine upper and lower bounds for the spectral radius of nonnegative matrices. Introducing the notion of average 4-row sum of a nonnegative matrix, we extend various existing formulas for spectral radius bounds.
Adam Maria, Aretaki Aikaterini
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The quotient set of k-generalised Fibonacci numbers is dense in Q_p
, 2017 The quotient set of A ⊆ N is defined as R(A) := {a/b : a, b ∈ A, b , 0}. Using algebraic number theory in Q( √ 5), Garcia and Luca proved that the quotient set of Fibonacci numbers is dense in the p-adic numbers Qp, for all prime numbers p.
C. Sanna
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