The purple curve is the graph of the natural log function. The Blue bars are the values of the harmonic series. The difference between them is Euler\'s constant.

Armen Edigarian, Jan Wiegerinck, The Pluripolar Hull of the Graph of A Holomorphic Function with Polar Singularities, Indiana University Mathematics Journal, Vol. 52, No. 6 (2003), pp. 1663-1680 ...