论文标题
(k+1)dickson多项式的正交性 -
Orthogonality of the Dickson polynomials of the (k+1)-th kind
论文作者
论文摘要
我们研究了(k+1)的迪克森多项式在复数领域。我们证明它们是一个相对于准定量矩功能l_ {k}的共同回报正交多项式的家族。我们找到了l_ {k}的积分表示,并计算其所有时刻的明确表达式。
We study the Dickson polynomials of the (k+1)-th kind over the field of complex numbers. We show that they are a family of co-recursive orthogonal polynomials with respect to a quasi-definite moment functional L_{k}. We find an integral representation for L_{k} and compute explicit expressions for all of its moments.