Results 11 to 20 of about 53,723 (156)
On Generalized Pell and Pell–Lucas Numbers [PDF]
Iranian Journal of Science and Technology, Transactions A: Science, 2019 In this paper, we introduce and study a new one-parameter generalization of Pell numbers. We describe their distinct properties also related to matrix representation.
Lucyna Trojnar-Spelina, Iwona Włoch
openaire +3 more sources
Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers
Mathematics, 2022 Seven infinite series involving two free variables and central binomial coefficients (in denominators) are explicitly evaluated in closed form. Several identities regarding Pell/Lucas polynomials and Fibonacci/Lucas numbers are presented as consequences.
Dongwei Guo, Wenchang Chu
doaj +3 more sources
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
openaire +3 more sources
Mathematics, 2021 In this paper, we introduce and study a new two-parameters generalization of the Fibonacci numbers, which generalizes Fibonacci numbers, Pell numbers, and Narayana numbers, simultaneously.
Natalia Bednarz
doaj +1 more source
On a generalization of the Pell sequence [PDF]
Mathematica Bohemica, 2021 The Pell sequence $(P_n)_{n=0}^{\infty}$ is the second order linear recurrence defined by $P_n=2P_{n-1}+P_{n-2}$ with initial conditions $P_0=0$ and $P_1=1$.
Jhon J. Bravo +2 more
doaj +1 more source
On the intersections of Fibonacci, Pell, and Lucas numbers [PDF]
, 2010 We describe how to compute the intersection of two Lucas sequences of the forms $\{U_n(P,\pm 1) \}_{n=0}^{\infty}$ or $\{V_n(P,\pm 1) \}_{n=0}^{\infty}$ with $P\in\mathbb{Z}$ that includes sequences of Fibonacci, Pell, Lucas, and Lucas-Pell numbers.
Bilu +13 more
core +2 more sources
Matrix Manipulations for Properties of Pell p-Numbers and their Generalizations
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 In this paper, we define the Pell-Pell p-sequence and then we discuss the connection of the Pell-Pell p-sequence with Pell and Pell p-sequences. Also, we provide a new Binet formula and a new combinatorial representation of the Pell-Pell p-numbers by the
Erdağ Özgür +2 more
doaj +1 more source
BALANCING, PELL AND SQUARE TRIANGULAR FUNCTIONS [PDF]
, 2015 In this work, we derive some functions on balancing, cobalancing, Lucas-balancing, Lucas-cobalancing, Pell, Pell-Lucas and square triangular numbers. At the end of this article we investigated common values of combinatorial numbers and Lucas-balancing ...
Olajos, Péter +2 more
core +2 more sources
SPECIAL PELL AND PELL LUCAS MATRICES OF ORDER 3X3
Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2020 Inthis study, we study on special Pell and Pell Lucas matrices of order 3x3, entries of whose nth powers are related specific Pell and Pell Lucasnumbers with indices certain positive integer according to powers thesematrices.
Fikri Köken
doaj +1 more source
Symmetric and generating functions of generalized (p,q)-numbers
Kuwait Journal of Science, 2021 In this paper, we first define new generalization for (p,q)-numbers. Considering these sequence, we give Binet's formulas and generating functions of (p,q)-Fibonacci numbers, (p,q)-Lucas numbers, (p,q)-Pell numbers, (p,q)-Pell Lucas numbers, (p,q ...
Nabiha Saba +2 more
doaj +1 more source