Formula:10326

Digital Library of Mathematical Functions ID 33.16.E7

${\displaystyle{\displaystyle h\left(\epsilon,\ell;r\right)=(-1)^{\ell}\left(\frac{2}{\pi\tau}\frac{A(\epsilon,\ell)}{e^{2\pi/\tau}-1}\right)^{\ifrac{1}{2}}G_{\ell}\left(1/\tau,-\tau r\right).}}$

Symbols List

• ${\displaystyle{\displaystyle h\left(\NVar{\epsilon},\NVar{\ell};\NVar{r}\right)}}$: irregular Coulomb function
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle G_{\NVar{\ell}}\left(\NVar{\eta},\NVar{\rho}\right)}}$: irregular Coulomb radial function
• ${\displaystyle{\displaystyle\ell}}$: nonnegative integer
• ${\displaystyle{\displaystyle r}}$: real variable
• ${\displaystyle{\displaystyle\epsilon}}$: real parameter
• ${\displaystyle{\displaystyle A(\epsilon,\ell)}}$: function (locally)
• ${\displaystyle{\displaystyle\tau}}$: parameter (locally)
 

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