The Natural Logarithm on Time Scales
Dorota Mozyrska, Delfim F. M. Torres
TL;DR
This paper introduces a new logarithm function on time scales, addressing a previously open question and exploring its fundamental properties to unify continuous and discrete analysis.
Contribution
It defines and analyzes a logarithm on time scales, providing a unified approach to continuous and discrete calculus.
Findings
Established the main properties of the logarithm on time scales.
Provided an answer to M. Bohner's open question from 2005.
Enhanced the theoretical framework of time scale calculus.
Abstract
We define an appropriate logarithm function on time scales and present its main properties. This gives answer to a question posed by M. Bohner in [J. Difference Equ. Appl. {\bf 11} (2005), no. 15, 1305--1306].
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