论文标题
通过二次分解在2个正交的多项式序列上
On a 2-orthogonal polynomial sequence via quadratic decomposition
论文作者
论文摘要
我们将多项式序列的一般二次分解（在本文引用的上一篇文章中介绍）应用于对两个给定功能的特定正交条件$ u_ {0}，u_ {0}，u_ {1} $属于coeffeff coeffeff coeffeff in coeffeff的载体。一般的二次分解产生了四个新的多项式集，其特性在上述符号方法的帮助下以及询问相关特征的更多命令，例如多项式序列的经典特征。还详细介绍了各种参数选择的计算结果，还探讨了共同回报类型的多项式序列。
We apply a symbolic approach of the general quadratic decomposition of polynomial sequences - presented in a previous article referenced herein - to polynomial sequences fulfilling specific orthogonal conditions towards two given functionals $u_{0},u_{1}$ belonging to the dual of the vector space of polynomials with coefficients in $\mathbb{C}$. The general quadratic decomposition produces four new sets of polynomials whose properties are investigated with the help of the mentioned symbolic approach together with further commands which inquire relevant features, as for instance, the classical character of a polynomial sequence. The computational results are detailed for a wide range of choices of parameters and co-recursive type polynomial sequences are also explored.
