第3章2复合闭路原函数

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2、sinzze|2z C sinzzedz0 | | 2z 3zz dzy2x33zz |2z 0 DD4( )z ( )z ( )f z ( )z ( )f z( )f z0zz ( )f d ( )F zz( )F z ( ),f z ( )F z( )f z( )f z( )z ( )f z10zz ( )f z dz1()z 0()z 51 20i 2zdz2z2zdz 3z 13C 1 20i 2zdz313z 120i 3(12 ) i 13 13 13 2i 23 (2 ) i 3(2 ) i 113 23i 31 5(2)z dz31 5(2)z dz16 310 6(2)z 3

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

4、 1n a1za dzC 0 1za 1()nza zdzC ()nza za 1191zdzC 2 i 1nzdzC 0 1n 1zdzC 0 1z1nzO10dzC |z0.5z 10.5z 2 i 1,z 2zi C 4d1zz C 3d2zzi 24i 23i 14 i 10.5O41 O2i dzC dzC 0.5z 1(1z 4) 2zi 31 |z4 11OdzC |z221zzz 1z 11z dzC dzC dzC 2 i 2 i 4 i Oii 17221iz dzC |1|z 221iz 1zi 1zi dzC dzC dzC 2 i 2 i 0 16 1 2zz 21z

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)