For every the complex value can be split into its real and imaginary parts and , respectively, which can be considered as real functions of two real variables:
The functions and are called the real part and
the imaginary part of the complex function ,
respectively. Conversely, any two functions and
defined in some subset of determine via
(1) a complex function .
If especially is defined as a polynomial
of , then both and are polynomials of and
with real coefficients.
Following are the notations for and that are used most commonly (the parentheses around may be omitted):
|Date of creation||2014-02-23 10:20:21|
|Last modified on||2014-02-23 10:20:21|
|Last modified by||pahio (2872)|