Next Article in Journal
CSE_E 1.0: An Integrated Automated Theorem Prover for First-Order Logic
Previous Article in Journal
Design of Short-Turning Service for a Bus Route with Hybrid Vehicle Type
Previous Article in Special Issue
Note on Type 2 Degenerate q-Bernoulli Polynomials
Open AccessArticle

A New Identity Involving Balancing Polynomials and Balancing Numbers

School of Mathematics, Northwest University, Xi’an 710127, Shaanxi, China
Symmetry 2019, 11(9), 1141; https://doi.org/10.3390/sym11091141
Received: 13 August 2019 / Accepted: 5 September 2019 / Published: 7 September 2019
(This article belongs to the Special Issue Current Trends in Symmetric Polynomials with Their Applications Ⅱ)
In this paper, a second-order nonlinear recursive sequence M ( h , i ) is studied. By using this sequence, the properties of the power series, and the combinatorial methods, some interesting symmetry identities of the structural properties of balancing numbers and balancing polynomials are deduced.
Keywords: balancing numbers; balancing polynomials; combinatorial methods; symmetry sums balancing numbers; balancing polynomials; combinatorial methods; symmetry sums
MDPI and ACS Style

Meng, Y. A New Identity Involving Balancing Polynomials and Balancing Numbers. Symmetry 2019, 11, 1141.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map

1
Back to TopTop