Results 31 to 40 of about 1,995,314 (144)
Generalized Balancing and Balancing-Lucas numbers
, 2022 In this paper, we introduce a generalization of Balancing and Balancing-Lucas numbers. We describe some of their properties also we give the related matrix representation and divisibility ...
Al-Zoubi, Hasan, Al-Kateeb, Ala'a
core
Miskolc Mathematical NotesIn the current paper, we present a new class of systems called the Balancing-bilinear system of difference equations to investigate some theoretical proprieties.
Ahmed Ghezal, Imane Zemmouri
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Factorizations of negatively subscripted balancing and Lucas-balancing numbers
Boletim da Sociedade Paranaense de Matemática, 2013 In this paper, we find some tridigonal matrices whose determinant and permanent are equal to the negatively subscripted balancing and Lucas- balancing numbers. Also using the First and second kind of Chebyshev polynomials, we obtain the factorization of these numbers.
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TRIGONOMETRIC-TYPE IDENTITIES AND THE PARITY OF BALANCING AND LUCAS-BALANCING NUMBERS [PDF]
TNU Journal of Science and Technology, 2021 Các số cân bằng n được định nghĩa như là nghiệm của phương trình Diophantus 1 + 2 + · · · + (n − 1) = (n + 1) + · · · + (n + r), trong đó r được gọi là hệ số cân bằng ứng với số cân bằng n. Tương tự như vậy, n là một số đối cân bằng với hệ số đối cân bằng r nếu 1 + 2 + · · · + n = (n + 1) + · · · + (n + r).
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Balancing and Lucas-balancing Numbers With Real Indices [PDF]
, 2015 In this thesis, we have studied the balancing and Lucas-balancing numbers for real indices. Also we have discussed some properties of balancing numbers with real numbers.
Tanty, Sephali
core
GAUSSIAN BALANCING NUMBERS AND GAUSSIAN LUCAS-BALANCING NUMBERS
, 2018 In this study we define Gaussian balancing numbers and Gaussian Lucas-balancing numbers. Then we obtain Binet-like formulas, generating functions and some identities related with Gaussian balancing numbers and Gaussian Lucas-balancing numbers.
TAŞCI, DURSUN
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Combinatorial sums associated with balancing and Lucas-balancing polynomials [PDF]
, 2020 The aim of the paper is to use some identities involving binomial coefficients to derive new combinatorial identities for balancing and Lucas-balancing polynomials.
Goy, Taras, Frontczak, Robert
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Balancing and Lucas-Balancing Numbers as the Difference of Two Repdigits
13 pages.
Mohapatra, Monalisa +2 more
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Bidimensional Extensions of Cobalancing and Lucas-Cobalancing Numbers
Annales Mathematicae SilesianaeA new bidimensional version of cobalancing numbers and Lucas-balancing numbers are introduced. Some properties and identities satisfied by these new bidimensional sequences are studied.
Chimpanzo J. +4 more
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SOME ALGEBRAIC RELATIONS ON BALANCING NUMBERS [PDF]
, 2017 WOS: 000401308200018In this work we deduce some new algebraic relations on balancing numbers and their relationships with Pell, Pell-Lucas and oblong numbers.
Tekcan, Ahmet +2 more
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