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Application of Chybeshev Polynomials in Factorizations of Balancing and Lucas-Balancing Numbers
Boletim da Sociedade Paranaense de Matemática, 2012 In this paper, with the help of orthogonal polynomial especially Chybeshev polynomials of first and second kind, number theory and linear algebra intertwined to yield factorization of the balancing and Lucas-balancing numbers.
Prasanta Kumar Ray
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On Pell, Pell-Lucas, and balancing numbers [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we derive some identities on Pell, Pell-Lucas, and balancing numbers and the relationships between them. We also deduce some formulas on the sums, divisibility properties, perfect squares, Pythagorean triples involving these numbers ...
Gül Karadeniz Gözeri
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MATEMATIKA, 2020 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.
Ngô Văn Định
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On tridimensional Lucas-balancing numbers and some properties
Notes on Number Theory and Discrete MathematicsIn this article, we introduce the tridimensional version of the Lucas-balancing numbers based on the unidimensional version, and we also study some of their properties and sum identities.
J. Chimpanzo +2 more
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A note on hybrid convolutions involving Balancing and Lucas-Balancing numbers [PDF]
Applied Mathematical Sciences, 2018 Robert Frontczak
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Repdigits as difference of two balancing or Lucas-balancing numbers [PDF]
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Monalisa Mohapatra +2 more
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Positive Integer Solutions of Certain Diophantine Equations Involving Lucas-Balancing numbers
, 2018 There is some technical problems and issues with some of the contents of the paper, so I want to withdraw the ...
Asim Patra
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On the Properties of Balancing and Lucas-Balancing $p$-Numbers [PDF]
Iranian Journal of Mathematical Sciences and Informatics, 2022 Ajay Kumar Behera, P. Ray
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Sums of Balancing and Lucas-Balancing numbers with binomial coefficients [PDF]
International Journal of Mathematical Analysis, 2018 R. Frontczak
semanticscholar +2 more sources
Some new identities of a type of generalized numbers involving four parameters
AIMS Mathematics, 2022 This article deals with a Horadam type of generalized numbers involving four parameters. These numbers generalize several celebrated numbers in the literature such as the generalized Fibonacci, generalized Lucas, Fibonacci, Lucas, Pell, Pell-Lucas ...
Waleed Mohamed Abd-Elhameed +2 more
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