Abstract: We obtain new methods which improve calculation of the residue based on traditional calculation of the residue，The residue of ?(z)f⁽ⁿ⁾(z)/f(z) is discussed，reserach the function，when the numerator and denominator are zero，the residue of conjugate complex poles and the conjugate of residue are equal.

Key words: residue, logarithmic residue, conjugate