论文标题
在Hermite的基础上，Wronskian Hermite多项式的扩展
The Expansion of Wronskian Hermite Polynomials in the Hermite Basis
论文作者
论文摘要
我们以赫米特的基础表达Wronskian Hermite多项式，并获得系数的明确公式。从此，我们推断出长度2的分区中的根部模量的上限。我们还为真实和纯粹想象的根的模量提供了一个一般的上限。这些界限在研究Wronskian Hermite多项式的不可约性方面非常有用。此外，我们将一些结果推广到较大类别的多项式。
We express Wronskian Hermite polynomials in the Hermite basis and obtain an explicit formula for the coefficients. From this we deduce an upper bound for the modulus of the roots in the case of partitions of length 2. We also derive a general upper bound for the modulus of the real and purely imaginary roots. These bounds are very useful in the study of irreducibility of Wronskian Hermite polynomials. Additionally, we generalize some of our results to a larger class of polynomials.
