BINOMIAL TRANSFORMS OF THE BALANCING AND LUCAS-BALANCING POLYNOMIALS

被引：0

作者：

Yilmaz, Nazmiye ^{[1
]}

机构：

[1] Karamanoglu Mehmetbey Univ, Dept Math, Kamil Ozdag Sci Fac, Karaman, Turkey

来源：

CONTRIBUTIONS TO DISCRETE MATHEMATICS | 2020年 / 15卷 / 03期

关键词：

balancing polynomials; Lucas-balancing polynomials; binomial transforms; IDENTITIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we define the binomial transforms of balancing and Lucas-balancing polynomials. Also, the generating functions, Binet formulas, and summations of these transforms are found by recurrence relations. Furthermore, we establish the relations between these transforms by deriving new formulas. Finally, we obtain the Catalan and Cassini formulas for these transforms.

引用

页码：133 / 144

页数：12

共 14 条

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