复函数 s=G+jo=re Exponential function: ee(coso+jsin@) 指数函数 ests=ee (e)'=e Logarithmic function: lns=lnr+i(0+2kπ 对数函数 (s≠0)(k=0,±1，+2，… In()=In(s)-In(s,) In(s s2)=In(s)+In(s) Power function: 幂函数 saealns (s≠0) (a:复常数) School of Mechanical Engineering ME369-lecture 3.0 Shanghai Jiao Tong University Fall 2015 复数积分性质 ∫kF(s)ds=kF(s)ds (k:constant) 「[E(s)+E(sd=∫F(s)d+∫F(s)ds 「F(s)ds=∫F(s)d+∫F(s)ds Curve section c=c+cz 曲线线段c由c,c2组成 School of Mechanical Engineering ME369-lecture 3.0 Shanghai Jiao Tong University Fall 2015 44 BE315-Lecture 3.0 Fall 2011 ME369-lecture 3.0 Fall 2015 School of Mechanical Engineering Shanghai Jiao Tong University ( ) cos s ni s e e j     1 2 1 2 s s s s e e e   ( ) ' s s e e  ln ln ( ) s i  r k     2 ( 0, 1, 2, ) k    j s j re       1 2 1 1 ln( ) ln( ) ln( ) s s s s   1 1 1 2 ln( ) ln( ) ln( ) s s s s   ( 0) s  a aln s s e ( 0) s  ( : ) a 复常数 Exponential function: 指数函数 Logarithmic function: 对数函数 Power function: 幂函数 复函数 BE315-Lecture 3.0 Fall 2011 ME369-lecture 3.0 Fall 2015 School of Mechanical Engineering Shanghai Jiao Tong University 复数积分性质 ( ) ( ) c c kF s ds k F s ds    ( : k constant) 1 2 1 2 [ ( ) ( )] ( ) ( ) c c c F s F s ds F s ds F s ds       1 2 ( ) ( ) ( ) c c c F s ds F s ds F s ds      Curve section c=c1+c2 曲线线段c由c1,c2组成