计算复变函数值 w=(1+i)^i
问题描述:
计算复变函数值 w=(1+i)^i
答
由1+i=√2(cosπ/4+isinπ/4)=e^(iπ/4+i2kπ+0.5ln2)
w=e^(-π/4-2kπ+i0.5ln2)=e^(-π/4-2kπ)(cos0.5ln2+isin0.5ln2)