Results 231 to 240 of about 51,391 (253)

Some properties of r-circulant matrices with k-balancing and k-Lucas balancing numbers

Boletin De La Sociedad Matematica Mexicana, 2023
Kalika Prasad, Hrishikesh Mahato, Munesh Kumari   +2 more
exaly   +2 more sources

Hybrid numbers with balancing and Lucas balancing hybrid number coefficients

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
In this note, we made a connection between hybrid numbers and hybrid balancing, and hybrid Lucas balancing number. Initially, we obtained for these new number recurrence relation, some important relations among new numbers, and Binet's like formula ...
Murat Turan, Sıddıka Özkaldı Karakuş   +1 more
semanticscholar   +2 more sources

On the Properties of Balancing and Lucas-Balancing $p$-Numbers

Iranian Journal of Mathematical Sciences and Informatics, 2022
Summary: The main goal of this paper is to develop a new generalization of balancing and Lucas-balancing sequences namely balancing and Lucas-balancing \(p\)-numbers and derive several identities related to them. Some combinatorial forms of these numbers are also presented.
Behera, Adikanda, Ray, Prasanta Kumar
exaly   +3 more sources

Factoriangular numbers in balancing and Lucas-balancing sequence

Boletin De La Sociedad Matematica Mexicana, 2020
The balancing numbers \(\{B_n\}_{n\ge 0}\) have initial terms \(B_0=0,~B_1=1\) and satisfy the recurrence \(B_{n+2}=6B_{n+1}-B_n\) for all \(n\ge 0\). The Lucas-balancing numbers \(\{C_n\}_{n\ge 0}\) have initial terms \(C_0=1,~C_1=3\) and satisfy the same recurrence relation as the balancing numbers.
Sai Gopal Rayaguru, Japhet Odjoumani, Gopal Krishna Panda   +2 more
exaly   +2 more sources

Sums of Balancing and Lucas-Balancing numbers with binomial coefficients

International Journal of Mathematical Analysis, 2018
R. Frontczak
semanticscholar   +2 more sources

Bidimensional balancing, Lucas-balancing, cobalancing and Lucas-cobalancing numbers via the determinant of a tridiagonal matrix

Indian Journal of Pure and Applied Mathematics
Paula Catarino, JOSÉ Chimpanzo
exaly   +2 more sources

A note on hybrid convolutions involving Balancing and Lucas-Balancing numbers

Applied Mathematical Sciences, 2018
R. Frontczak
semanticscholar   +2 more sources

Spinor Algebra of k-Balancing and k-Lucas-Balancing Numbers

Journal of Algebra and Its Applications
In this paper, we introduce and study a spinor algebra of [Formula: see text]-balancing numbers referred to as the [Formula: see text]-balancing and [Formula: see text]-Lucas-balancing spinors. First, we give [Formula: see text]-balancing quaternions and their some algebraic properties. Then we introduce a spinor family of [Formula: see text]-balancing
K. Prasad, Munesh Kumari, Ritanjali Mohanty, H. Mahato   +3 more
semanticscholar   +2 more sources

Balancing and Lucas-Balancing hybrid numbers and some identities

Journal of Information and Optimization Sciences
In this paper, we introduce Balancing and Lucas-Balancing hybrid numbers. We examine some identities of Balancing and Lucas-Balancing hybrid numbers. We give some basic definitions and properties related to them. In addition, we find Binet’s Formula, Cassini’s identity, Catalan’s identity, d’Ocagne identity, generating functions, exponential generating
Mine Uysal, Engin Özkan
openaire   +1 more source

Coefficient Bounds for a Certain Subclass of Bi-Univalent Functions Associated with Lucas-Balancing Polynomials

Mathematics, 2023
Abdulmtalb Hussen, Mohamed Illafe
exaly