A New Hybrid Generalization of Balancing Polynomials

被引：2

作者：

Brod, Dorota ^{[1
]}

Rubajczyk, Mariola ^{[1
]}

Szynal-Liana, Anetta ^{[1
]}

机构：

[1] Rzeszow Univ Technol, Fac Math & Appl Phys, Al Powstancow Warszawy 12, PL-35959 Rzeszow, Poland

来源：

SYMMETRY-BASEL | 2024年 / 16卷 / 10期

关键词：

balancing numbers; complex numbers; hyperbolic numbers; dual numbers; polynomials; Diophantine equations; IDENTITIES;

D O I：

10.3390/sym16101397

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we introduce and study balancing hybrinomials, i.e., polynomials being a generalization of balancing hybrid numbers. We provide some properties of the balancing hybrinomials, including Catalan, Cassini, d'Ocagne, and Vajda identities, among others. Moreover, we present a matrix representation of the hybrinomials.

引用

页数：14

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