Example 5.7. Find the principal value of   (b)  [Graphics:Images/ComplexFunComplexPowerMod_gr_48.gif].  

Explore Solution 5.7 (b).

(b) Find the principal value of  [Graphics:../Images/ComplexFunComplexPowerMod_gr_60.gif].  

[Graphics:../Images/ComplexFunComplexPowerMod_gr_61.gif]

[Graphics:../Images/ComplexFunComplexPowerMod_gr_62.gif]

 

 

 

[Graphics:../Images/ComplexFunComplexPowerMod_gr_63.gif]

[Graphics:../Images/ComplexFunComplexPowerMod_gr_64.gif]

 

 

 

[Graphics:../Images/ComplexFunComplexPowerMod_gr_65.gif]

[Graphics:../Images/ComplexFunComplexPowerMod_gr_66.gif]

 

 

 

[Graphics:../Images/ComplexFunComplexPowerMod_gr_67.gif]

[Graphics:../Images/ComplexFunComplexPowerMod_gr_68.gif]

[Graphics:../Images/ComplexFunComplexPowerMod_gr_69.gif]

 

 

 

[Graphics:../Images/ComplexFunComplexPowerMod_gr_70.gif]

[Graphics:../Images/ComplexFunComplexPowerMod_gr_71.gif]

 

 

 

[Graphics:../Images/ComplexFunComplexPowerMod_gr_72.gif]

[Graphics:../Images/ComplexFunComplexPowerMod_gr_75.gif]

[Graphics:../Images/ComplexFunComplexPowerMod_gr_73.gif]

[Graphics:../Images/ComplexFunComplexPowerMod_gr_74.gif]

[Graphics:../Images/ComplexFunComplexPowerMod_gr_76.gif]

[Graphics:../Images/ComplexFunComplexPowerMod_gr_77.gif]



[Graphics:../Images/ComplexFunComplexPowerMod_gr_78.gif]

[Graphics:../Images/ComplexFunComplexPowerMod_gr_79.gif]

[Graphics:../Images/ComplexFunComplexPowerMod_gr_80.gif]

[Graphics:../Images/ComplexFunComplexPowerMod_gr_81.gif]

[Graphics:../Images/ComplexFunComplexPowerMod_gr_82.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2006 John H. Mathews, Russell W. Howell