Manuals/calci/IMEXP

IMEXP(z)

Description

This function gives the exponential of a complex number.
Here IMEXP(z),where z is the complex number of the form z=x+iy,x&y are real numbers&I is the imaginary unit,i=sqrt(-1).
Euler's formula states that e^ix=cosx+isinx, for any real number x and e is the base of the natural logarithm.
The approximate value of the constant e=2.718281828459045 and it is equal to e^1. *So the exponential of a complex number is : IMEXP(z)=e^z=e^(x+iy)=e^x.e^iy=e^x.(cosy+isiny).
=e^x.cosy+ie^x.siny. When imaginary part is '0' then it will give the exponent value of the real number. *i.e.IMEXP(z)=EXP(z) when imaginary number (iy) is '0'.
We can use COMPLEX function to convert the real and imginary coefficients to a complex number.