On the logarithm of the derivative operator
arXiv:1105.5978
Abstract
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.
3 pages, no figures; v2: corrected some typos