On the logarithm of the derivative operator
classification
🧮 math.CA
math-phmath.MP
keywords
logarithmoperatorconstantderivativepropertiesactionaspectsbessel
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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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