第3章2復(fù)合閉路原函數(shù)

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3、 ii 2zedz212ze 3 ii 61(2ie 2)ie 0 6( )f z0C ( )f z dz1C ( )f z dz( )f z( )f zAB 1C BA 0C 0 0C 1C 0 ( )df zz( )df zz( )df zz0C 1C ( )df zz0C0C1,C7( )f z0C 1C 2C 3C ( )f zdz( )f z dz( )f z dz( )f z dz0C 1C 2C 3C ( )f z dz( )f z dz( )f z dz( )f z dz0 0C0C8( )f z( )f zC ( )f z dz1C ( )f z dzaadzC 2 i a0

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5、 12|z1.5 dzC 121z dzC 124z z i 121z 1(2i 1zi 1zi dzC )C dzC dz1(2i 2 i 2) i 0 z 2i dzC 124z 0 0 0 1.5Oii 2i2i 1()3 221(1)(4)zz 211z 214z dzC dzC dzC 1(6i 1zi 1zi 0 C dzC d ) z0 1(22)6iii z , i z 2i 131()2 dzC 22zza 1za 1za aa dzC dzC 1(2 2 i )0 O,aa a,a0 i 1(2 2 i )2 i 2 i dzC 22za za ,aa ,aa 141()22i 1dzC 1()(2)2izz 12iz 12z 2i12 dzC dzC dzC 2(4i 2 i )0 44ii O2iz 2z z()2iz (2)z 174 (14 ) i |z1 15dzC |zr 11 Or1z 31322zi 41322zi |zr 4z3z0 1()2a 221za dzC |zaa 221za 1za 1za aa dzC dzC dzC 1(2a 2 i )0 ia Ozz12(1)z 3(1)