On Some Identities and Symmetric Functions for Balancing Numbers

Ali Boussayoud

EN

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

Balancing numbers,Lucas balancing number,Chebychev polynomials

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).
[9] A. Boussayoud, M. Kerada, Symmetric and Generating Functions, Int. Electron. J. Pure Appl. Math. 7, 195-203 (2014).
[10] P. Catarino, H. Campos, P. Vasco, On the Mersenne sequence, Ann. Math. Inform. 46, 37- 53, (2016).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Ali Boussayoud

Publication Date

June 1, 2018

Submission Date

April 26, 2018

Acceptance Date

-

Published in Issue

Year 2018 Number: 23

IZ

https://izlik.org/JA37AB84ZH

APA

Boussayoud, A. (2018). On Some Identities and Symmetric Functions for Balancing Numbers. Journal of New Theory, 23, 68-77. https://izlik.org/JA37AB84ZH

AMA

1.Boussayoud A. On Some Identities and Symmetric Functions for Balancing Numbers. JNT. 2018;(23):68-77. https://izlik.org/JA37AB84ZH

Chicago

Boussayoud, Ali. 2018. “On Some Identities and Symmetric Functions for Balancing Numbers”. Journal of New Theory, nos. 23: 68-77. https://izlik.org/JA37AB84ZH.

EndNote

Boussayoud A (June 1, 2018) On Some Identities and Symmetric Functions for Balancing Numbers. Journal of New Theory 23 68–77.

IEEE

[1]A. Boussayoud, “On Some Identities and Symmetric Functions for Balancing Numbers”, JNT, no. 23, pp. 68–77, June 2018, [Online]. Available: https://izlik.org/JA37AB84ZH

ISNAD

Boussayoud, Ali. “On Some Identities and Symmetric Functions for Balancing Numbers”. Journal of New Theory. 23 (June 1, 2018): 68-77. https://izlik.org/JA37AB84ZH.

JAMA

1.Boussayoud A. On Some Identities and Symmetric Functions for Balancing Numbers. JNT. 2018;:68–77.

MLA

Boussayoud, Ali. “On Some Identities and Symmetric Functions for Balancing Numbers”. Journal of New Theory, no. 23, June 2018, pp. 68-77, https://izlik.org/JA37AB84ZH.

Vancouver

1.Ali Boussayoud. On Some Identities and Symmetric Functions for Balancing Numbers. JNT [Internet]. 2018 Jun. 1;(23):68-77. Available from: https://izlik.org/JA37AB84ZH