On the logarithm of the derivative operator

Mathematics – Classical Analysis and ODEs

Scientific paper

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3 pages

Scientific paper

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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