Corpus ID: 117994024

ON THE LOGARITHM OF THE DERIVATIVE OPERATOR

@article{Babusci2012ONTL,
  title={ON THE LOGARITHM OF THE DERIVATIVE OPERATOR},
  author={D. Babusci and G. Dattoli},
  journal={arXiv: Classical Analysis and ODEs},
  year={2012}
}
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. 

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