Results 21 to 30 of about 5,889 (226)
The Polynomial Solutions of Quadratic Diophantine Equation X2−ptY2+2KtX+2ptLtY = 0
Journal of Mathematics, 2021 In this study, we consider the number of polynomial solutions of the Pell equation x2−pty2=2 is formulated for a nonsquare polynomial pt using the polynomial solutions of the Pell equation x2−pty2=1.
Hasan Sankari, Ahmad Abdo
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Generalized sum of Pell Numbers [PDF]
, 2021 Here we are proposing a generalized sum for Pell numbers. This sum contains four Pell numbers. By means of this generalized sum, the Pell number at position (n+m) in the sequence is given by the Pell numbers at positions n, m, (n-1) and (m-1)
Sparavigna, Amelia Carolina +1 more
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Properties of hyperbolic generalized Pell numbers [PDF]
, 2020 In this paper, we introduce the generalized hyperbolic Pell numbers over the bidimensional Clifford algebra of hyperbolic numbers. As special cases, we deal with hyperbolic Pell and hyperbolic Pell–Lucas numbers.
Yüksel Soykan, Melih Göcen
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On a new class of the generalized gauss k-pell numbers and their polynomials [PDF]
, 2022 In this article, we generalize the well-known Gauss Pell numbers and refer to them as generalized Gauss k-Pell numbers. There are relationships discovered between the class of generalized Gauss k-Pell numbers and the typical Gauss Pell numbers. Also, we
Kaya, Ahmet, Özimamoğlu, Hayrullah
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Some properties of bicomplex Pell and Pell-Lucas numbers
Journal of Information and Optimization Sciences, 2020 In this work, we investigated bicomplex Pell and Pell-Lucas numbers. We defined generating function and various identities involving both bicomplex Pell and Pell-Lucas numbers.
Karatas, Adnan, Halici, Serpil
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Fermat and Mersenne numbers in $k$-Pell sequence
Математичні Студії, 2021 For an integer $k\geq 2$, let $(P_n^{(k)})_{n\geq 2-k}$ be the $k$-generalized Pell sequence, which starts with $0,\ldots,0,1$ ($k$ terms) and each term afterwards is defined by the recurrence $ P_n^{(k)}=2P_{n-1}^{(k)}+P_{n-2}^{(k)}+\cdots +P_{n-k}^{(k)}
B. Normenyo, S. Rihane, A. Togbe
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The maximum number of $P_\ell$ copies in $P_k$-free graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 Generalizing Tur\'an's classical extremal problem, Alon and Shikhelman investigated the problem of maximizing the number of $T$ copies in an $H$-free graph, for a pair of graphs $T$ and $H$.
Ervin Győri +3 more
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A Note on Two Fundamental Recursive Sequences
Annales Mathematicae Silesianae, 2021 In this note, we establish some general results for two fundamental recursive sequences that are the basis of many well-known recursive sequences, as the Fibonacci sequence, Lucas sequence, Pell sequence, Pell-Lucas sequence, etc.
Farhadian Reza, Jakimczuk Rafael
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Pell-Padovan generalized quaternions [PDF]
, 2021 The aim of this article is to introduce Pell-Padovan generalized quaternions. It also derives new properties associated with these and takes into account negative indices. Additionally, it presents generating function, Binet-like formula, Simson formula,
Isbilir, Zehra, Gurses, Nurten
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Domination type parameters of Pell graphs [PDF]
, 2023 © 2023 Society of Mathematicians, Physicists and Astronomers of Slovenia. All rights reserved.Pell graphs are defined on certain ternary strings as special subgraphs of Fibonacci cubes of odd index.
Özer, Arda Buǧra +4 more
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