On Some Identities and Symmetric Functions for Balancing Numbers
Abstract
In this paper, we derive
new generating functions of the product of balancing numbers, Lucas balancing
numbers and the Chebychev polynomials of the second kind by making use of
useful properties of the symmetric functions mentioned in the paper.
Keywords
References
- [1] A. Behera, G. K. Panda, On the Square Roots of Triangular Numbers. The Fibonacci Quarterly. 37, 98-105, (1999).
- [2] A. Boussayoud, M. Kerada, N. Harrouche, On the k-Lucas numbers and Lucas Polynomials, Turkish Journal of Analysis and Number. 5(3) 121-125, (2017).
- [3] A. Boussayoud, M. Bolyer, M. Kerada, On Some Identities and Symmetric Functions for lucas and pell numbers, Electron. J. Math. Analysis Appl. 5(1), 202-207, (2017).
- [4] A. Boussayoud, On some identities and generating functions for Pell-Lucas numbers, Online.J. Anal. Comb. 12 1-10, (2017).
- [5] A. Boussayoud, N. Harrouche, Complete Symmetric Functions and k-Fibonacci Numbers, Commun. Appl. Anal. 20, 457-467, (2016).
- [6] A. Boussayoud, M. Boulyer, M. Kerada, A simple and accurate method for determination of some generalized sequence of numbers, Int. J. Pure Appl. Math. 108, 503-511, (2016).
- [7] A. Boussayoud, A. Abderrezzak, M. Kerada, Some applications of symmetric functions, Integers. 15, A#48, 1-7, (2015).
- [8] A. Boussayoud, M. Kerada, R. Sahali , W. Rouibah, Some Applications on Generating Functions, J. Concr. Appl. Math. 12, 321-330, (2014).
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Authors
Publication Date
June 1, 2018
Submission Date
April 26, 2018
Acceptance Date
-
Published in Issue
Year 2018 Number: 23