Atrisiniet z=e^jfrac{pi{2}+1}

$$z = e ^ { j \frac { \pi } { 2 } + 1 }$$

Atrast j (complex solution)

$$j=\frac{2\left(\ln(z)-1\right)}{\pi }+4n_{1}i$$

$$n_{1}\in \mathrm{Z}$$

$$z\neq 0$$

Atrast j

$$j=-\frac{2\left(-\ln(z)+1\right)}{\pi }$$

$$z>0$$

Atrast z

$$z=e^{\frac{\pi j+2}{2}}$$