论文标题
乘法运算符和杰出的雅各比多项式
Multiplication operator and exceptional Jacobi polynomials
论文作者
论文摘要
相对于特殊的Jacobi多项式，在基督教官函数的归一化加权倒数下方。事实证明，它倾向于在弱星意义上的正交性间隔的平衡度量。这项研究的主要工具是乘法算子和相应平均特征多项式的零行为的检查。最后，作为乘法运算符的应用，检查了某些自我反向多项式的零位置。
Below the normalized weighted reciprocal of the Christoffel function with respect to exceptional Jacobi polynomials is investigated. It is proved that it tends to the equilibrium measure of the interval of orthogonality in weak-star sense. The main tool of this study is the multiplication operator and examination of behavior of zeros of the corresponding average characteristic polynomial. Finally, as an application of multiplication operator, location of zeros of certain self-inversive polynomials are examined.
