Hermitian Function

In mathematical analysis, a Hermitian function is a complex function with the property that its complex conjugate is equal to the original function with the variable changed in sign:

for all in the domain of .

This definition extends also to functions of two or more variables, e.g., in the case that is a function of two variables it is Hermitian if

for all pairs in the domain of .

From this definition it follows immediately that, if is a Hermitian function, then

• the real part of is an even function
• the imaginary part of is an odd function