DIFFERENCE EQUATION OF THE COLORED JONES POLYNOMIAL FOR TORUS KNOT
DIFFERENCE EQUATION OF THE COLORED JONES POLYNOMIAL FOR TORUS KNOT
复制标题
环面结彩色琼斯多项式的差分方程
DOI：
10.1142/s0129167x04002582
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发表时间：
2004
影响因子：
0.6
通讯作者：
K. Hikami
中科院分区：
文献类型：
--
作者：
K. Hikami
证明了环面结的n色琼斯多项式满足二阶差分方程，并将其简化为一阶差分方程。我们证明了环面结的a多项式可以由差分方程导出。构造了的有色琼斯多项式的q-超几何型表达式。
We prove that the N-colored Jones polynomial for the torus knot satisfies the second order difference equation, which reduces to the first order difference equation for a case of . We show that the A-polynomial of the torus knot can be derived from the difference equation. Also constructed is a q-hypergeometric type expression of the colored Jones polynomial for .