(1+i)^(1-i)的值有无穷多个
|1+i|=√2,arg(1+i)=π/4
Ln(1+i)=ln|1+i|+i[arg(1+i)+2kπ]=ln(√2)+i(π/4+2kπ)(k∈Z)
(1+i)^(1-i)=exp[(1-i)*Ln(1+i)]=exp{(1-i)[ln(√2)+i(π/4+2kπ)]}(k∈Z)
取k=0,即得
(1+i)^(1-i)≈2.8078792972606290395663454697622+1.3178651729011808638476358045781i