Mozyrska-Torres logarithm on the reals

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.

References

Dorota Mozyrska and Delfim F. M. Torres: The Natural Logarithm on Time Scales (2008)... (previous)... (next)