Mozyrska-Torres logarithm on the reals
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Theorem
The following formula holds: $$L_{\mathbb{R}}(t) = \ln(t),$$ where $L_{\mathbb{R}}$ denotes the Mozyrska-Torres logarithm on the time scale of real numbers and $\ln$ denotes the logarithm.
Proof
References
Dorota Mozyrska and Delfim F. M. Torres: The Natural Logarithm on Time Scales (2009)... (previous)... (next)
