Results 31 to 40 of about 209 (127)
Dynamics of a certain sequence of powers
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 4, Page 283-288, 2000., 2000 For any nonzero complex number z we define a sequence a1(z) = z, a2(z)=za1(z),…,an+1(z)=zan(z), n ∈ ℕ. We attempt to describe the set of these z for which the sequence {an(z)} is convergent. While it is almost impossible to characterize this convergence set in the complex plane 𝒞, we achieved it for positive reals.
Roman Sznajder, Kanchan Basnyat
wiley +1 more source
On a conjecture about generalized Q-recurrence
Open Mathematics, 2018 Chaotic meta-Fibonacci sequences which are generated by intriguing examples of nonlinear recurrences still keep their mystery although substantial progress has been made in terms of well-behaved solutions of nested recurrences.
Alkan Altug
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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
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On some Properties of Tribonacci Quaternions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this paper, we give some properties of the Tribonacci and Tribonacci-Lucas quaternions and obtain some identities for them.
Akkus Ilker, Kızılaslan Gonca
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The GCD Sequences of the Altered Lucas Sequences
Annales Mathematicae Silesianae, 2020 In this study, we give two sequences {L+n}n≥1 and {L−n}n≥1 derived by altering the Lucas numbers with {±1, ±3}, terms of which are called as altered Lucas numbers.
Koken Fikri
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n‐Color partitions with weighted differences equal to minus two
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 759-768, 1997., 1997 In this paper we study those n‐color partitions of Agarwal and Andrews, 1987, in which each pair of parts has weighted difference equal to −2 Results obtained in this paper for these partitions include several combinatorial identities, recurrence relations, generating functions, relationships with the divisor function and computer produced tables.
A. K. Agarwal, R. Balasubrananian
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Partitioning the positive integers with higher order recurrences
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 457-462, 1991., 1991 Associated with any irrational number α > 1 and the function is an array {s(i, j)} of positive integers defined inductively as follows: s(1, 1) = 1, s(1, j) = g(s(1, j − 1)) for all j ≥ 2, s(i, 1) = the least positive integer not among s(h, j) for h ≤ i − 1 for i ≥ 2, and s(i, j) = g(s(i, j − 1)) for j ≥ 2.
Clark Kimberling
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The Hybrid Numbers of Padovan and Some Identities
Annales Mathematicae Silesianae, 2020 In this article, we will define Padovan’s hybrid numbers, based on the new noncommutative numbering system studied by Özdemir ([7]). Such a system that is a set involving complex, hyperbolic and dual numbers.
Mangueira Milena Carolina dos Santos +3 more
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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
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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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