%0 Journal Article
%T On the logarithm of the derivative operator
%A D. Babusci
%A G. Dattoli
%J Mathematics
%D 2011
%I arXiv
%X We study the properties of the logarithm of the derivative operator and show that its action on a constant is not zero, but yields the sum of the logarithmic function and the Euler-Mascheroni constant. We discuss more general aspects concerning the logarithm of an operator for the study of the properties of the Bessel functions.
%U http://arxiv.org/abs/1105.5978v2