Contents of Exponential and Hyperbolic Functions

f $\left(\vphantom{ t}\right.$ t $\left.\vphantom{ t}\right)$	F $\left(\vphantom{ s}\right.$ s $\left.\vphantom{ s}\right)$ = L $\left\{\vphantom{ ft}\right.$ ft $\left.\vphantom{ ft}\right\}$ $\left(\vphantom{ s}\right.$ s $\left.\vphantom{ s}\right)$
e^atsinh kt	${\dfrac{{k}}{{\left( s-a\right) ^{2}-k^{2}}}}$
e^atcosh kt	${\dfrac{{s-a}}{{\left( s-a\right) ^{2}-k^{2}}}}$