e^(-x)的三次Hermite-Padé逼近系数多项式的渐近估计

Asyrnptotics of Coefficient Polynomials of Cubic Hermite-Padé Approximation to e^(-x)

研究了三次Hermite-Pade逼近系数多项式的围道积分表示,利用鞍点法得到了这些多项式的渐近估计。

We consider the cubic Hermite-Pade approximation and give the contour integral representations of coefficient polynomials. By using the saddle point method, the asymptotics of the polynomials are derived through certain ray sequence.