Results 21 to 30 of about 47,656 (155)
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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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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Boletim da Sociedade Paranaense de Matemática, 2011 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 ...
Prasanta Kumar Ray
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Sum formulas involving powers of balancing and Lucas-balancing numbers – II [PDF]
Notes on Number Theory and Discrete Mathematics, 2019 S. G. Rayaguru, G. K. Panda
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On $${\pmb k}$$-Fibonacci numbers expressible as product of two Balancing or Lucas-Balancing numbers [PDF]
Indian Journal of Pure and Applied Mathematics, 2023 Salah Eddine Rihane
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Period of balancing numbers modulo product of consecutive Lucas-balancing numbers
MATHEMATICA, 2018 Bijan Kumar Patel +2 more
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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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On Balancing and Lucas-balancing Quaternions [PDF]
, 2021 summary:The aim of this article is to investigate two new classes of quaternions, namely, balancing and Lucas-balancing quaternions that are based on balancing and Lucas-balancing numbers, respectively. Further, some identities including Binet's formulas,
Patel, Bijan Kumar, Ray, Prasanta Kumar
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The Solution of a System of Higher-Order Difference Equations in Terms of Balancing Numbers
Pan-American Journal of Mathematics, 2023 In this paper, we are interested in the closed-form solution of the following system of nonlinear difference equations of higher order, un+1 = 1/34-vn-m , vn+1 = 1/34-un-m, n, m ∈ N0, and the initial values u-j and v-j , j∈{0, 1, ..., m} are real numbers
Ahmed Ghezal, Imane Zemmouri
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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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