HOMFLY Polynomials of Torus Links as Generalized Fibonacci Polynomials

[摘要] The focus of this paper is to study the HOMFLY polynomial of $(2,n)$-torus link as a generalized Fibonacci polynomial. For this purpose, we first introduce a form of generalized Fibonacci and Lucas polynomials and provide their some fundamental properties

[学科分类] 离散数学和组合数学

[关键词] HOMFLY polynomial;Alexander-Conway polynomial;Torus link;Fibonacci polynomial;Binet's formula;Fibonacci identities