1105.5978 (D. Babusci et al.)

On the logarithm of the derivative operator    [PDF]

D. Babusci, G. Dattoli

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.

View original: http://arxiv.org/abs/1105.5978