Поліноміальні інваріанти Александера торичних вузлів T(n, 3) і поліноми Чебишова

• Date: 2022
• Main Authors: Gavrilik, A.M., Pavlyuk, A.M.
• Format: Article
• Language: English
• Published: Publishing house "Academperiodika" 2022
• Subjects: -
• Online Access: https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2022059
• Journal Title: Ukrainian Journal of Physics

The explicit formula, which expresses the Alexander polynomials ∆n,3(t) of torus knots T(n, 3) as a sum of the Alexander polynomials ∆k,2(t) of torus knots T(k, 2), is found. Using this result and those from our previous papers, we express the Alexander polynomials ∆n,3(t) through Chebyshev polynomi...