Difference between revisions of "Bohner logarithm"
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Revision as of 17:00, 11 February 2017
Let $\mathbb{T}$ be a time scale and let $p \colon \mathbb{T} \rightarrow \mathbb{C}$ delta differentiable. The Bohner logarithm is defined by $$L_p(t,t_0) = \displaystyle\int_{t_0}^t \dfrac{p^{\Delta}(\tau)}{p(\tau)} \Delta \tau.$$
Properties
Bohner logarithm sub a product
See also
Euler-Cauchy logarithm
Jackson logarithm
Mozyrska-Torres logarithm
References
Martin Bohner: The logarithm on time scales (2005)... (previous): (3)