Results 41 to 50 of about 1,263 (112)
On the reciprocal sums of square of generalized bi-periodic Fibonacci numbers
, 2018 Recently Basbük and Yazlik [1] proved identities related to the reciprocal sum of generalized bi-periodic Fibonacci numbers starting from 0 and 1, and raised an open question whether we can obtain similar results for the reciprocal sum of mth power (m 2)
Ginkyu Choi, Y. Choo
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Bicomplex generalized k-Horadam quaternions
Miskolc Mathematical Notes, 2019 This study provides a broad overview of the generalization of the various quaternions, especially in the context of its enhancing importance in the disciplines of mathematics and physics.
Y. Yazlık, Sure Köme, Cahit Köme
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Identities Arising from Binomial-Like Formulas Involving Divisors of Numbers
Annales Mathematicae Silesianae, 2023 In this article, we derive a great number of identities involving the ω function counting distinct prime divisors of a given number n. These identities also include Pochhammer symbols, Fibonacci and Lucas numbers and many more.
Gryszka Karol
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Inverse and factorization of triangular Toeplitz matrices
, 2018 In this paper, we present a new approach for finding the inverse of some triangular Toeplitz matrices using the generalized Fibonacci polynomials and give a factorization of these matrices.
Adem Şahin
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Galois Identities of the three term recurrence [PDF]
, 2013 We study the existence of the identity L_n^2 -5F_n^2 = 4(-1 ...
Cheng Lien, Lang, Mong Lung Lang
core
Some congruences involving binomial coefficients
, 2015 Binomial coefficients and central trinomial coefficients play important roles in combinatorics. Let $p>3$ be a prime. We show that $$T_{p-1}\equiv\left(\frac p3\right)3^{p-1}\ \pmod{p^2},$$ where the central trinomial coefficient $T_n$ is the constant ...
Cao, Hui-Qin, Sun, Zhi-Wei
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Copper Lacus Sequence Spaces Associated With Operator Ideals and Their Geometric Properties
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this research, we introduce the regular Copper Lucas matrix operator, which is based on the Copper Lucas sequence. We investigate the sequence spaces c0(Γ) and c(Γ), as well as lpΓ for 1 ≤ p ≤ ∞, all of which are linked to the newly defined regular Copper Lucas matrix Γ.
Shiva Shah +4 more
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On the reciprocal sums of higher-order sequences
, 2013 Let {un} be a higher-order recursive sequence. Several identities are obtained for the infinite sums and finite sums of the reciprocals of higher-order recursive sequences.MSC:11B39.
Zhengang Wu, Han Zhang
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Generalized Chebyshev Polynomials
Discussiones Mathematicae - General Algebra and Applications, 2018 Let h(x) be a non constant polynomial with rational coefficients. Our aim is to introduce the h(x)-Chebyshev polynomials of the first and second kind Tn and Un. We show that they are in a ℚ-vectorial subspace En(x) of ℚ[x] of dimension n.
Abchiche Mourad, Belbachir Hacéne
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New convolved Fibonacci collocation procedure for the Fitzhugh–Nagumo non-linear equation
Nonlinear EngineeringThis article is dedicated to propose a spectral solution for the non-linear Fitzhugh–Nagumo equation. The proposed solution is expressed as a double sum of basis functions that are chosen to be the convolved Fibonacci polynomials that generalize the well-
Abd-Elhameed Waleed Mohamed +2 more
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