Hydrogenic radial function

ns type Hydrogen radial wave functions

[math]\displaystyle{ n }[/math]	[math]\displaystyle{ R(r) }[/math]
[math]\displaystyle{ 1 }[/math]	[math]\displaystyle{ 2\alpha^{3/2}\exp(-\alpha r) }[/math]
[math]\displaystyle{ 2 }[/math]	[math]\displaystyle{ \frac{1}{2\sqrt 2}\alpha^{3/2}(2-\alpha r)\exp(-\alpha r /2) }[/math]
[math]\displaystyle{ 3 }[/math]	[math]\displaystyle{ {\sqrt \frac{4}{27}}\alpha^{3/2}(1-2\alpha r/3+2\alpha^2 r^2/27)\exp(-\alpha r /3) }[/math]