实系数有理分式函数的共轭复极点的留数

Residues at Conjugate Complex Poles of Rational Fractional Function with Real Coefficients

留数是复变函数中的一个极其重要的概念,其应用也非常广泛,本文证明了实系数有理分式函数的共轭复极点的留数也互成共轭。

Residue is a highly important concept in complex analysis,and its applications are also very wide,This paper proves that residues at conjugate complex poles of rational fractional function with real coefficients are conjugate complex numbers as well.