Results 21 to 30 of about 8,726 (124)

A New Generalization of Pell-Lucas Numbers (Bi-Periodic Pell-Lucas Sequence)

Communications in Mathematics and Applications, 2019
In this study, we bring into light, a new generalization of the Jacobsthal Lucas numbers, which shall also be called the bi-periodic Jacobsthal Lucas sequence as \begin{align*} Q_{n}= \begin{cases} 2bQ_{n-1}+Q_{n-2},&\text{if} \ n \ \text{is even} \\ 2aQ_{n-1}+Q_{n-2},&\text{if} \ n \ \text{is odd}% \end{cases} \text{\ \ }n\geq 2, \end{align*} with ...
Sukran Uygun, Hasan Karatas
openaire   +2 more sources

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, Tayat, Merve, TEKCAN, Ahmet   +2 more
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Lucas sequences and repdigits [PDF]

Mathematica Bohemica, 2022
Let $(G_n)_{n \geq1}$ be a binary linear recurrence sequence that is represented by the Lucas sequences of the first and second kind, which are $\{U_n\}$ and $\{V_n\}$, respectively.
Hayder Raheem Hashim, Szabolcs Tengely
doaj   +1 more source

Generating Functions of the Products of Bivariate Complex Fibonacci Polynomials with Gaussian Numbers and Polynomials

Discussiones Mathematicae - General Algebra and Applications, 2020
In this paper, we define and study the bivariate complex Fibonacci and Lucas polynomials. We introduce a operator in order to derive some new symmetric properties of bivariate complex Fibonacci and bivariate complex Lucas polynomials, and give the ...
Boughaba Souhila, Boussayoud Ali, Saba Nabiha   +2 more
doaj   +1 more source

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

Sequences of Numbers Meet the Generalized Gegenbauer-Humbert Polynomials [PDF]

, 2011
Here we present a connection between a sequence of numbers generated by a linear recurrence relation of order 2 and sequences of the generalized Gegenbauer-Humbert polynomials.
Peter J.-S. Shiue, Tian-Xiao He, Tsui-Wei Weng   +2 more
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A Family of the Zeckendorf Theorem Related Identities [PDF]

, 2015
In this paper we present a family of identities for recursive sequences arising from a second order recurrence relation, that gives instances of Zeckendorf representation.
Martinjak, Ivica
core   +1 more source

Almost neo cobalancing numbers [PDF]

Notes on Number Theory and Discrete Mathematics
In this work, we determined the general terms of almost neo cobalancing numbers, almost Lucas-neo cobalancing numbers and almost neo cobalancers in terms of cobalancing and Lucas-cobalancing numbers. We also deduced some results on relationship with Pell,
Ahmet Tekcan, Ecem Akgüç
doaj   +1 more source

Novel Results for Two Generalized Classes of Fibonacci and Lucas Polynomials and Their Uses in the Reduction of Some Radicals

Mathematics, 2022
The goal of this study is to develop some new connection formulae between two generalized classes of Fibonacci and Lucas polynomials. Hypergeometric functions of the kind 2F1(z) are included in all connection coefficients for a specific z.
Waleed Mohamed Abd-Elhameed, Andreas N. Philippou, Nasr Anwer Zeyada   +2 more
doaj   +1 more source

Smarandache Sequence of Happy Cube Numbers [PDF]

, 2011
I have studied the Smarandache Happy Cube Numbers and I have got some interesting results and facts .
Muneer, Jebreel
core   +1 more source