Results 41 to 50 of about 103 (98)

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 New Generalization of Leonardo Sequences: Biperiodic Leonardo Sequence

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, we define a new type of number sequence called biperiodic Leonardo sequence by the recurrence relation Lena,b=aLen−1+Len−2+1 (for even n) and Lena,b=bLen−1+Len−2+1 (for odd n) with the initial conditions Le0a,b=Le1a,b=1. We obtained the characteristic function, generating function, and Binet’s formula for this sequence and propose a ...
Hasan Gökbaş, Mohammad W. Alomari
wiley   +1 more source

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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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   +1 more source

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  

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 Matematica
Let 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, Park Jong-Do, Song Kyunghwan   +2 more
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The extensibility of the Diophantine triple {2, b, c}

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
The aim of this paper is to consider the extensibility of the Diophantine triple {2, b, c}, where 2 < b < c, and to prove that such a set cannot be extended to an irregular Diophantine quadruple.
Adžaga Nikola, Filipin Alan, Jurasić Ana   +2 more
doaj   +1 more source