Results 51 to 60 of about 15,160 (203)

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
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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
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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
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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
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On the intersection of Padovan, Perrin sequences and Pell, Pell-Lucas sequences [PDF]

, 2021
In this paper, we find all the Padovan and Perrin numbers which are Pell or Pell-Lucas ...
Rihane, Salah Eddine, Togbé, Alain
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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
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Unrestricted Pell and Pell – Lucas 2N-ons

, 2022
In this study, we define unrestricted Pell and Pell – Lucas hyper-complex numbers. We choose arbitrary Pell and Pell – Lucas numbers for the coefficients of the ordered basis 〖{e〗_0,e_1,⋯,e_(N-1)} of hyper-complex 2^N-ons where N∈{0,1,2,3,4} and call ...
Öznur BAYRAKÇI ÖZSOY, BAYRAKÇI ÖZSOY, Öznur, Göksal BİLGİCİ, BİLGİCİ, Göksal   +3 more
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Fascinating Number Sequences from Fourth Order Difference Equation Via Quaternion Algebras

Discussiones Mathematicae - General Algebra and Applications, 2021
The balancing and Lucas-balancing numbers are solutions of second order recurrence relations. A linear combination of these numbers can also be obtained as solutions of a fourth order recurrence relation.
Patra Asim
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De Moivre-Type Identities for the Pell Numbers [PDF]

, 2021
This paper aims to present a method for constructing the second order Pell and Pell-Lucas numbers and the third order Pell and Pell-Lucas numbers.Moreover, we obtain the De Moivre-type identities for these numbers.
Mücahit AKBIYIK, Seda YAMAÇ AKBIYIK, Akbıyık, Mücahit, Akbıyık, Seda Yamaç   +3 more
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Diophantine equations for additive Pell numbers in Pell, Pell–Lucas, and Modified Pell numbers [PDF]

Notes on Number Theory and Discrete Mathematics
This paper investigates the Diophantine equations arising from ternary additive problems of Pell, Pell-Lucas, and Modified Pell numbers. Specifically, we characterize all integer solutions to the equation Pₙ+Pₘ+Pᵣ=Xₖ, X∈{P,Q,R}, where Pᵢ, Qᵢ, and Rᵢ ...
Ahmet Emin, Ahmet Daşdemir
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