Search results with tag "The complex logarithm"

The complex logarithm, exponential and power functions

3. Definition of the complex exponential function We begin with the complex exponential function, which is defined via its power series: ez = X∞ n=0 zn n!, where z is any complex number. Using this power series definition, one can verify that: e z1+ 2 = ez1ez2, for all complex z 1 and z 2. (39)

  Complex, Algorithm, Exponential, The complex exponential, The complex logarithm