Results 51 to 60 of about 847 (107)

ON A STUDY OF BINOMIAL FORM TO THE NEW (S, T)-JACOBSTHAL SEQUENCE

Acta Universitatis Apulensis, 2019
Many (s, t)-type of sequences has been introduced earlier such as (s, t)-Fibonacci sequence, (s, t)-Lucas sequence, (s, t)-Jacobsthal sequence, (s, t)Jacobsthal-Lucas sequence etc .
A. A. Wani, S. Halıcı, T. A. Tarray
semanticscholar   +1 more source

On hyperbolic k-Pell quaternions sequences

, 2018
In this paper we introduce the hyperbolic k-Pell functions and new classes of quaternions associated with this type of functions are presented.
P. Catarino
semanticscholar   +1 more source

On Generalized Jacobsthal and Jacobsthal-Lucas polynomials

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper we introduce a generalized Jacobsthal and Jacobsthal-Lucas polynomials, Jh,n and jh,n, respectively, that consist on an extension of Jacobsthal's polynomials Jn(𝑥) and Jacobsthal-Lucas polynomials jn(𝑥).
Catarino Paula, Morgado Maria Luisa
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On generating matrices of the k-Pell, k-Pell-Lucas and modified k-Pell sequences

, 2014
In this paper we define some tridiagonal matrices depending of a parameter from which we will find the k-Pell, k-Pell-Lucas and Modified k-Pell numbers. Mathematics Subject Classification: 11B37, 11B83.
P. Catarino
semanticscholar   +1 more source

On a New Generalization of Pell Hybrid Numbers

Annales Mathematicae Silesianae
In this paper, we define and study a new one-parameter generalization of the Pell hybrid numbers. Based on the definition of r-Pell numbers, we define the r-Pell hybrid numbers.
Bród Dorota, Szynal-Liana Anetta, Włoch Iwona   +2 more
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Fibonacci and Telephone Numbers in Extremal Trees

Discussiones Mathematicae Graph Theory, 2018
In this paper we shall show applications of the Fibonacci numbers in edge-coloured trees. In particular we determine the successive extremal graphs in the class of trees with respect to the number of (A, 2B)-edge colourings.
Bednarz Urszula, Włoch Iwona
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A Note on Generalized Hybrid Tribonacci Numbers

Discussiones Mathematicae - General Algebra and Applications, 2020
In this paper, we introduce the generalized hybrid Tribonacci numbers. These numbers can be considered as a generalization of the generalized complex Tribonacci, generalized hyperbolic Tribonacci and generalized dual Tribonacci numbers.
Yaǧmur Tülay
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On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers

Annales Mathematicae Silesianae, 2019
The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider special kinds of hybrid numbers, namely the Jacobsthal and the Jacobsthal-Lucas hybrid numbers and we give some their properties.
Szynal-Liana Anetta, Włoch Iwona
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On Diophantine equations involving Lucas sequences

Open Mathematics, 2019
In this paper, we shall study the Diophantine equation un = R(m)P(m)Q(m), where un is a Lucas sequence and R, P and Q are polynomials (under weak assumptions).
Trojovský Pavel
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On a New One Parameter Generalization of Pell Numbers

Annales Mathematicae Silesianae, 2019
In this paper we present a new one parameter generalization of the classical Pell numbers. We investigate the generalized Binet’s formula, the generating function and some identities for r-Pell numbers.
Bród Dorota
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