DLMF:33.13.E1 (Q9607)

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Language	Label	Description	Also known as
English	DLMF:33.13.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle C_{\ell}\left(\eta\right)=2^{\ell}e^{\mathrm{i}{% \sigma_{\ell}}\left(\eta\right)-(\pi\eta/2)}\Gamma\left(\ell+1-\mathrm{i}\eta% \right)/\Gamma\left(2\ell+2\right),}}

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DLMF:33.13.E1

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normalizing constant for Coulomb radial functions

Defining formula

{\displaystyle{\displaystyle C_{\NVar{\ell}}\left(\NVar{\eta}\right)}}

C33.S2.E5.m2adec

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Coulomb phase shift

Defining formula

{\displaystyle{\displaystyle{\sigma_{\NVar{\ell}}}\left(\NVar{\eta}\right)}}

C33.S2.E10.m2adec

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\ell}}

C33.S1.XMD2.m1dec

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Defining formula

{\displaystyle{\displaystyle\eta}}

C33.S1.XMD7.m1dec

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Sitelinks

Wikipedia(0 entries)

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