DLMF:33.2.E3 (Q9498)

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Language	Label	Description	Also known as
English	DLMF:33.2.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle F_{\ell}\left(\eta,\rho\right)=C_{\ell}\left(\eta% \right)2^{-\ell-1}(\mp\mathrm{i})^{\ell+1}M_{\pm\mathrm{i}\eta,\ell+\frac{1}{2% }}\left(\pm 2\mathrm{i}\rho\right),}}

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DLMF:33.2.E3

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Symbols defined

regular Coulomb radial function

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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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Whittaker confluent hypergeometric function

Defining formula

{\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

C13.S14.E2.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.m1bdec

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Sitelinks

Wikipedia(0 entries)

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