Results 101 to 110 of about 1,971,660 (140)
On Reciprocal Sums of Products of Pell-Lucas Numbers
International Journal of Mathematical Analysis, 2019 openaire +1 more source
On \(k\)-Pell-Lucas Numbers Close to a Power of 2
Bachabi, Mohamadou +2 more
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Pell and Pell–Lucas Numbers With Applications
, 2014 Pell and Pell–Lucas Numbers has been carefully crafted as an undergraduate/graduate textbook; the level of which depends on the college/university and the instructor’s preference.
Thomas Koshy
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On Pell and Pell−Lucas Hybrid Numbers [PDF]
Commentationes Mathematicae, 2019 In this paper we introduce the Pell and Pell−Lucas hybrid numbers as special kinds of hybrid numbers. We describe some properties of Pell hybrid numbers and Pell−Lucas hybrid numbers among other we give the Binet formula, the character and the generating function for these numbers.
Anetta Szynal-Liana, Iwona Włoch
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On applications of Pell and Pell-Lucas numbers with matrix method
Journal of Intelligent & Fuzzy Systems, 2023 In this study, new matrices which produce the Pell and Pell-Lucas numbers are given. By using these matrices, new identities and relations related to the Pell and Pell-Lucas numbers are obtained.
Ümmügülsün Akbaba, Ali H. Deger
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s-PELL AND s-PELL-LUCAS NUMBERS AND THEIR PROPERTIES
Far East Journal of Mathematical Sciences (FJMS), 2017 We introduce new families of s-Pell and s-Pell-Lucas numbers and establish certain identities. We also present the recurrence relations and the generating functions for a particular case. © 2017 Pushpa Publishing House, Allahabad, India.
Kirgiz H., Uslu K.
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Pell–Lucas Numbers as Sum of Same Power of Consecutive Pell Numbers
Mediterranean Journal of Mathematics, 2022Let \(P_{n}\) be the \(n\)-th term of the Pell sequence defined as \(P_{0}=0, P_{1}=1, P_{n}=2P_{n+1}+P_{n}\) and let \(Q_{n}\) be the \(n\)-th term of the Pell-Lucas sequence defined as \(Q_{0}=Q_{1}=2, Q_{n}=2Q_{n-1}+Q_{n-2}\). The authors are interested in non-negative integers \((m, n, k, x)\) solutions of the Diophantine equation \[ P_{n}^{x}+P_{n+
Salah Eddine Rihane, Alain S.Y.G. Togbé
exaly +2 more sources
The Binet Formulas for the Pell and Pell-Lucas p-Numbers.
Ars Comb., 2007 In this paper, we define the Pell and Pell-Lucas p-numbers and derive the analytical formulas for these numbers. These formulas are similar to Bin et's formula for the classical Pell numbers.
Kocer, E. Gokcen, Tuglu, Naim
core +5 more sources
AN INTEGRAL REPRESENTATION OF THE PELL NUMBERS AND THE PELL-LUCAS NUMBERS [PDF]
Journal of Science Natural ScienceWe report on an integral representation for the Pell sequence, Pell-Lucas sequence, Balancing sequence and Lucas-Balancing sequence. This integral representation is based on the generating function and the Binet-like formulas of the aforementioned sequences.
null Luu Ba Thang, null Nguyen Duc Sang
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On The Properties Of New Families Of Pell And Pell-Lucas Numbers.
Ars Comb., 2014 In this paper, new families of Pell and Pell-Lucas numbers are introduced. In addition, we present the recurrence relations and the generating functions of the new families for k = 2.
Gokkaya, Havva, Uslu, Kemal
openaire +3 more sources