Euler-Cauchy logarithm

Let $\mathbb{T}$ be a time scale and let $s \in \mathbb{T}$. The Euler-Cauchy logarithm is defined by the formula $$L(t,s)=\displaystyle\int_{s}^t \dfrac{1}{\tau + 2\mu(\tau)} \Delta \tau.$$

See also

Euler-Cauchy dynamic equation

References

Martin Bohner: The logarithm on time scales (2005)... (previous)... (next): (2)