论文标题
多层次赫米特 - 帕德多项式的强渐近学
Strong asymptotics of multi-level Hermite-Padé polynomials
论文作者
论文摘要
我们获得了多种正交多项式的强渐近造物，这些渐变多项式是在尼基申蛋白功能系统上定义的混合类型的Hermite-Padé近似问题。获得的结果允许确切地估计近似合理函数的收敛速率和cauchy biorthoconal多项式的强渐近造型。
We obtain the strong asymptotics of multiple orthogonal polynomials which arise in a mixed type Hermite-Padé approximation problem defined on a Nikishin system of functions. The results obtained allow to give exact estimates of the rate of convergence of the approximating rational functions and the strong asymptotics of Cauchy biorthogonal polynomials.
