Results 81 to 90 of about 1,421 (176)

Relations Established Between Hypergeometric Functions and Some Special Number Sequences

Axioms
In this paper, we establish new hypergeometric representations for two classical integer sequences, namely the Pell and Jacobsthal sequences. Motivated by Dilcher’s hypergeometric formulations of the Fibonacci sequence, we extend this framework to other ...
Sukran Uygun, Berna Aksu, Hulya Aytar
doaj   +1 more source

On the Quadra Fibona-Pell and Hexa Fibona-Pell-Jacobsthal Sequences

Mathematical Sciences and Applications E-Notes, 2019
In this paper, we consider Fibonacci, Lucas, Pell, Pell-Lucas, Jacobsthal, Jacobsthal-Lucas sequences. We introduce the quadra Fibona-Pell,Fibona-Jacobsthal and Pell-Jacobsthal and the hexa Fibona-Pell-Jacobsthal sequences whose components are the Fibonacci, Pell and Jacobsthal sequences.
Hamza MENKEN, Orhan DİŞKAYA
openaire   +4 more sources

Determinants and Inverses of Ppoeplitz and Ppankel matrices

Special Matrices, 2018
In this paper, we consider two kinds of special matrices, which are called Ppoeplitz matrix and Ppankel matrix. The idea of matrix transformation is used to compute the determinants and inverses of the Ppoeplitz matrix and the Ppankel matrix.
Zuo Baishuai, Jiang Zhaolin, Fu Deqian
doaj   +1 more source

A New Family of k-Quasi Morgan-Voyce Sequences

Journal of Advanced Engineering and Computation
In this study, we define the kQuasi Morgan-Voyce and k-Quasi MorganVoyce-Lucas sequences, and some terms of these sequences are given. We introduce the closed-form formulas that give the terms of these sequences.
Hakan Akkuş, Engin Özkan
doaj   +1 more source

On a unified approach to homogeneous second-order linear difference equations with constant coefficients and some applications

Special Matrices
In this article, we establish a new closed formula for the solution of homogeneous second-order linear difference equations with constant coefficients by using matrix theory.
Kaddoura Issam, Mourad Bassam
doaj   +1 more source

Determinant Representations of Sequences: A Survey

Special Matrices, 2014
This is a survey of recent results concerning (integer) matrices whose leading principal minors are well-known sequences such as Fibonacci, Lucas, Jacobsthal and Pell (sub)sequences. There are different ways for constructing such matrices.
Moghaddamfar A. R., Salehy S. Navid, Salehy S. Nima   +2 more
doaj   +1 more source

On New Pell Spinor Sequences

Mathematical Sciences and Applications E-Notes
Our motivation for this study is to define two new and particular sequences. The most essential feature of these sequences is that they are spinor sequences. In this study, these new spinor sequences obtained using spinor representations of Pell and Pell-Lucas quaternions are expressed. Moreover, some formulas such that Binet formulas, Cassini formulas
Tülay Erişir, Gökhan Mumcu, Mehmet Ali Güngör   +2 more
openaire   +2 more sources

On the k-Vieta-Pell and k-Vieta-Pell-Lucas Sequences

Journal of Engineering Technology and Applied Sciences
The aim of this paper is to define the k-Vieta-Pell and k-Vieta-Pell-Lucas sequences, and some terms of these sequences are given. Then, we find the relations between the terms of the k-Vieta-Pell and k-Vieta-Pell-Lucas sequences. Also, we give the summation formulas, generating functions, etc.
Hakan Akkuş, Engin Özkan
openaire   +1 more source

Deriving Binomial Convolution Formulas for Horadam Sequences via Context-Free Grammars

Axioms
The Horadam sequence Hn(a,b;p,q) unifies a number of well-known sequences, such as Fibonacci and Lucas sequences. We use the context-free grammars as a new tool to study Horadam sequences.
Jun-Ying Liu, Hai-Ling Li, Zhi-Hong Zhang, Tao Liu   +3 more
doaj   +1 more source

Publication Only

HemaSphere, Volume 10, Issue S1, June 2026.
wiley   +1 more source