论文标题

黄金二项式和carlitz特征多项式

Golden Binomials and Carlitz Characteristic Polynomials

论文作者

Pashaev, Oktay K, Özvatan, Merve

论文摘要

在黄金量子积分中引入的黄金二项式具有由纤维工程系数确定的膨胀,以及由黄金比率给出的简单零。我们表明,这些黄金二项式等同于二项式系数某些矩阵的carlitz特征多项式。结果表明,这些矩阵的幂不变性是由斐波那契分隔线确定的,fibonacci除外是最近开发的。

The golden binomials, introduced in the golden quantum calculus, have expansion determined by Fibonomial coefficients and the set of simple zeros given by powers of Golden ratio. We show that these golden binomials are equivalent to Carlitz characteristic polynomials of certain matrices of binomial coefficients. It is shown that trace invariants for powers of these matrices are determined by Fibonacci divisors, quantum calculus of which was developed very recently.

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