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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.
Sephali Tanty
core   +3 more sources

Balancing and Lucas-balancing numbers which are concatenation of three repdigits

Boletín de la Sociedad Matemática Mexicana, 2023
S. G. Rayaguru, Jhon J. Bravo
openalex   +2 more sources

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On the Periodicity of Lucas-Balancing Numbers and p-adic Order of Balancing Numbers

Iranian Journal of Science and Technology, Transactions A: Science, 2020
The objective of this article is to study the periodicity of Lucas-balancing numbers modulo any positive integer. Some relations between the periodicity of balancing and Lucas-balancing numbers are also discussed. Further, in this study the p-adic order of balancing numbers is completely characterized .
Bijan Kumar Patel, Takao Komatsu, Prasanta Kumar Ray   +2 more
openaire   +2 more sources

Octonions and hyperbolic octonions with the k-balancing and k-Lucas balancing numbers

The Journal of Analysis
Kalika Prasad, Munesh Kumari, Jagmohan Tanti   +2 more
openalex   +2 more sources

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. Moreover, we give the new properties of Gaussian balancing numbers and Gaussian Lucas-balancing numbers in ...
openaire   +1 more source

New Hybrid Numbers with Balancing and Lucas-Balancing Number Components

2023
Nurkan, Semra, Sıddıka Özkaldı Karakuş, Turan, Murat, Ilkay Güven   +3 more
openaire   +1 more source

On the norms of Toeplitz and Hankel matrices with balancing and Lucas-balancing numbers

2023
Munesh Kumari, Kalika Prasad, Hrishikesh Mahato   +2 more
openaire   +1 more source

Congruences related to Harmonik, Balancing and Lucas-Balancing numbers II

2019
KOPARAL, SİBEL, ÖMÜR, NEŞE
openaire   +6 more sources

Certain Matrices Associated with Balancing and Lucas-balancing Numbers

, 2012
Prasanta Kumar Ray
openalex   +1 more source

Lucas Numbers Which are Products of Two Balancing Numbers

, 2019
Zafer Şi̇ar
openalex   +1 more source