Comment On “On some Properties of Tribonacci Quaternion”
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 This short commentary serves as a correction of the paper by Akkus and Kızılaslan [I. Akkus and G. Kızılaslan, On some Properties of Tribonacci Quaternion, An. Şt. Univ. Ovidius Constanţa, 26(3), 2018, 5–20].
Cerda-Morales Gamaliel
doaj +1 more source
A parametric family of quartic Thue inequalities [PDF]
, 2011 Secondary: 11A07, 11B37, 11D75, 11J68, 11J70 ...
Husna Zayadi
core
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
doaj +1 more source
A new member of the Pell sequences: The pseudo-Pell sequence [PDF]
In this study, we define a new family of the Pell numbers and establish some properties of the relation to the ordinary Pell numbers. We give some identities the pseudo-Pell numbers.
GÖKBAŞ, Hasan
core +2 more sources
On Some Identities for k-Jacobsthal Numbers [PDF]
, 2013 The aim of this paper is to obtain Binet formula for k-Jacobsthal numbers. And also with the help of Binet formula we obtain some properties for the k-Jacobsthal numbers.
core
More on finite sums that involve reciprocals of products of generalized Fibonacci numbers, Integers 14 (2014), #A4. Available at http://www.integers-ejcnt.org/vol14.html. 2010 Mathematics Subject Classification: Primary 11B39; Secondary 11B37. Keywords: r [PDF]
, 2020 In this paper we find closed forms for certain finite sums. In each case the denominator of the summand consists of products of generalized Fibonacci numbers.
R S Melham
core
On Cauchy Products of q−Central Delannoy Numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this study, we have examined q− central Delannoy numbers and their Cauchy products. We have given some related equalities using the properties of recurrence relations.
Halıcı Serpil
doaj +1 more source
A note on the extension of some triangular Diophantine sets
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet n be an integer. We call a set of m distinct positive integers a triangular D(n)-m-tuple if the product of its two distinct elements increased by n is the triangular number. In this paper, we consider the extension of the triangular D(k)-pair {k, 2k},
Filipin Alan, Jurasić Ana, Togbé Alain
doaj +1 more source
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
On the reciprocal sum of the fourth power of Fibonacci numbers
Open Mathematics, 2022 Let fn{f}_{n} be the nnth Fibonacci number with f1=f2=1{f}_{1}={f}_{2}=1. Recently, the exact values of ∑k=n∞1fks−1⌊{\left({\sum }_{k=n}^{\infty }\frac{1}{{f}_{k}^{s}}\right)}^{-1}⌋ have been obtained only for s=1,2s=1,2, where ⌊x⌋\lfloor x\
Hwang WonTae +2 more
doaj +1 more source