Results 51 to 60 of about 1,995,314 (144)

A note on the generalized bi-periodic Lucas-balancing numbers

BRAZILIAN ELECTRONIC JOURNAL OF MATHEMATICS
In this study, we introduce a new class of integers called the sequence of generalized bi-periodic Lucas-balancing numbers, which extends the well-known sequence of Lucas-balancing numbers. We present several fundamental properties, including the deduction of the corresponding generating function, as well as homogeneous and non-homogeneous recurrence ...
Eudes Antonio Costa, Elen Viviani Pereira Spreafico, Paula Maria Machado Cruz Catarino   +2 more
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A cryptography method based on hyperbolic balancing and Lucas-balancing functions

, 2020
The goal is to study a new class of hyperbolic functions that unite the characteristics of the classical hyperbolic functions and the recurring balancing and Lucas-balancing numbers.
Ray, Prasanta Kumar
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Generalized balancing numbers [PDF]

, 2017
Bu çalışmada tamsayı dizilerinde yeni bir kavram olan t −balans sayıları ele alınmış ve bu sayıların bazı cebirsel özellikleri verilmiştir. Ayrıca bu sayıların Pell, Pell-Lucas, diğer balans sayıları ve kare üçgensel sayılar ile olan ilişkisinden ...
Yazla, Aziz
core  

t-balancing numbers, Pell numbers and square triangular numbers

, 2017
Let t ≥ 2 be an integer. In this work we get all integer solutions of the Diophantine equation 8r 2 + 8tr + 1 = y 2 in order to determine the general terms of all t−balancing numbers for which 2t 2 − 1 is prime. Later we obtain some formulas for the sums
Yazla, Aziz, Tekcan, Ahmet
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ON BALANCING NUMBERS BY THE MATRIX METHOD [PDF]

In this study, we define a balancing B-matrix which is similar to the Fibonacci Q-matrix and the Lucas QL-matrix. Using this matrix representation, we obtain some well-known equalities and a Binet-like formula for balancing numbers.
Ba Thang, Luu, Hoang Lam, Phan
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-cobalancing and lucas -cobalancing numbers

, 2021
Bu çalışmada kobalans sayılarının genelleştirilmişi olan -kobalans sayıları ele alınmış ve bu sayılar ile Lucas -kobalans sayılarının genel terimleri elde edilmiştir. Birinci bölümde balans sayıları ve kobalans sayıları hakkında bazı önemli kavramlara ve
Erdem, Alper
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Balancing and Cobalancing Numbers [PDF]

, 2009
A different approach to the theory of balancing numbers is possible by means of a Pell’s equation which can be derived from the definition of balancing numbers. Each balancing number corresponds to a balancer, and each balancer, in turn, is a cobalancing
Ray, Prasanta Kumar
core  

Balancing numbers : some identities [PDF]

, 2014
This paper studies a problem in the theory of figurate numbers identifying and investigating those numbers which are polygonal in two ways - triangular and square.
Parida, Kaberi
core  

Application of Chebyshev polynomials in factorizations of balancing and Lucas-balancing numbers

Boletim da Sociedade Paranaense de Matemática, 2012
Summary: In this paper, with the help of orthogonal polynomials especially Chybeshev polynomials of first and second kind, number theory and linear algebra intertwined to yield factorization of balancing and Lucas-balancing numbers.
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Some new properties of Lucas-balancing and Lucas-cobalancing number

MATEMATIKA, 2017
In recent year Panda and Behera introduced new integer sequnce called Balancing number. Panda and Ray modified integer sequnce to cobalancing number. Panda introduced corresponding Lucas-Balancing and cobalancing number. In this paper we insvestigate some new properties of lucas balancing and lucas cobalancing Number.
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