Results 101 to 110 of about 1,668,226 (212)

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

Pell numbers

, 2022
Niz Pellovih brojeva zadan je početnim uvjetima \(P_1=1, P_2=2\), te rekurzivnom relacijom \(P_n=2P_{n-1}+P_{n-2}, n \geq 3\). Uz definiciju Pellovih brojeva, u radu su definirani i Pell–Lucasovi brojevi koji su s njima usko povezani.
Marić, Helena
core  

Polynomial generalizations of the Pell sequences and the Fibonacci sequence

, 2015
In this paper we present polynomial generalizations for the Pell sequence and the Fibonacci sequence together with formulas for those sequences.
Ivkovic, M, Santos, JPO
core  

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

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

Hyperbolic modified pell functions

, 2007
In this paper, we define the hyperbolic modified Pell functions by the modified Pell sequence and classical hyperbolic functions.
Kocer, E. Gokcen
core  

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 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

Marriner S. Eccles, correspondence with Senator Claiborne Pell

, 1970
Correspondence of Marriner S. Eccles with Claiborne Pell, U.S. Senator from Rhode Island. Includes a copy of an article about Senator Pell\u27s opposition to U.S.
Eccles, Marriner S. (Marriner Stoddard), 1890-1977
core  

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