Function No.

$f\left(s\right)$

$f\left(t\right)$

12

$\frac{1}{\sqrt{s}+\sqrt{s+1}}$

$\frac{1-{\text{e}}^{-t}}{2\sqrt{\pi t^3}}$

13

$\frac{1}{\sqrt{s}\left(1+\sqrt{s}\right)}$

${\text{e}}^t\text{erfc}\left(\sqrt{t}\right)$

14

${\text{e}}^{-2\sqrt{s}}$

$\frac{{\text{e}}^{-\frac{1}{t}}}{\sqrt{\pi t^3}}$

15

$\frac{{\text{e}}^{-\frac{1}{4s}}}{s^{\frac{3}{2}}}$

$\frac{2\sin \left(\sqrt{t}\right)}{\pi }$

16

$\log \left(1+\frac{1}{s}\right)$

$\frac{1-{\text{e}}^{-t}}{t}$

17

$\frac{\arccos \left(s-1\right)}{\sqrt{s\left(s-2\right)}}$

${\text{e}}^{t}K\left(\mathrm{0,}t\right)$

18

$\frac{{\text{e}}^{-\frac{1}{s}}}{\sqrt{s}}$

$\frac{\cos \left(2\sqrt{t}\right)}{\sqrt{\pi t}}$

19

$\frac{1}{\sqrt{s+\sqrt{s^2+1}}}$

$\frac{\sqrt{2}\sin \left(t\right)}{2t^{\frac{3}{2}}\pi }$