【摘要】 利用e-x形如Pn(x)e-3x+Qm(x)e-x+Rs(x)=O(xn+m+s+2)的三次Hermite Pad啨逼近系数多项式Pn(x),Qm(x),Rs(x)的微分怛等式,得到这些多项式的递推公式.借助于这些递推公式,能够由Pn(x),Qm(x),Rs(x)计算出e-x的三次Hermite Pad啨逼近系数多项式Pn+1(x),Qm+1(x),Rs+1(x).最后给出数值例子.更多还原

【Abstract】 By using of the differential identical relations of the coefficient polynomials of cubic Hermite-Padé （approximation） to e^-x with the form P_n（x）e^-3x+Q_m（x）e^-x+R_s（x）=O(x^n+m+s+2), the recursive formulae of coefficient polynomials P_n（x）,Q_m（x）,R_s（x） are obtained. Based on these recursive formulae,the coefficient polynomials P_n+1（x）,Q_m+1（x）,R_s+1（x） can be computed from the polynomials P_n（x）,Q_m（x）,R_s（x）.Finally a numerical example is also given.更多还原