Про торичні вузли T(n, 4) і поліноми Чебишова

The Alexander polynomials ∆n,3(t) and ∆n,4(t) are presented as a sum of the Alexander polynomials ∆k,2(t). These polynomials are also expressed in the form of a sum of Chebyshev polynomials of the second kind. These expansions allow one to introduce the "coordinates" in corresponding bases...

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Bibliographic Details
Date:2012
Main Author: Pavlyuk, A.M.
Format: Article
Language:English
Published: Publishing house "Academperiodika" 2012
Subjects:
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Online Access:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2021294
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Journal Title:Ukrainian Journal of Physics

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Ukrainian Journal of Physics
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Summary:The Alexander polynomials ∆n,3(t) and ∆n,4(t) are presented as a sum of the Alexander polynomials ∆k,2(t). These polynomials are also expressed in the form of a sum of Chebyshev polynomials of the second kind. These expansions allow one to introduce the "coordinates" in corresponding bases, which are proposed to be the numerical invariants characterizing links and knots.