Examples Examples of harmonic functions of two variables are: The real or imaginary part of any holomorphic function. The function this is a special case of the example above, as and is a holomorphic function. The second derivative with respect to x is while the second derivative with respect to y is The function defined on This can describe the electric potential due to a line charge or the gravity potential due to a long cylindrical mass.
examples examples of harmonic functions of two variables are the real or imaginary part of any holomorphic function the function this is a special case of the example above as and is a holomorphic function the second derivative with respect to x is while the second derivative with respect to y is the function defined on this can describe the electric potential due to a line charge or the gravity potential due to a long cylindrical mass