DLMF:33.9.E6 (Q9556)

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Language	Label	Description	Also known as
English	DLMF:33.9.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle G_{\ell}\left(\eta,\rho\right)\sim\frac{\rho^{-% \ell}}{(\ell+\frac{1}{2})\lambda_{\ell}(\eta)C_{\ell}\left(\eta\right)}\*\sum_% {k=2\ell+1}^{\infty}(-1)^{k}b_{k}t^{k/2}K_{k}\left(\textstyle 2\sqrt{t}\right)% ,}}

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DLMF:33.9.E6

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normalizing constant for Coulomb radial functions

Defining formula

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

C33.S2.E5.m2abdec

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asymptotic equality

Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle G_{\NVar{\ell}}\left(\NVar{\eta},\NVar{\rho}% \right)}}

C33.S2.E11.m1adec

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modified Bessel function of the second kind

Defining formula

{\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S25.E3.m2adec

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Defining formula

{\displaystyle{\displaystyle k}}

C33.S1.XMD1.m1edec

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Defining formula

{\displaystyle{\displaystyle\ell}}

C33.S1.XMD2.m1edec

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Defining formula

{\displaystyle{\displaystyle\rho}}

C33.S1.XMD5.m1cdec

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Defining formula

{\displaystyle{\displaystyle\eta}}

C33.S1.XMD7.m1edec

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Defining formula

{\displaystyle{\displaystyle t}}

C33.S9.XMD2.m1bdec

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Defining formula

{\displaystyle{\displaystyle b_{k}}}

C33.S9.XMD3.m1cdec

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coefficient (locally)

Defining formula

{\displaystyle{\displaystyle\lambda_{\ell}(\eta)}}

C33.S9.XMD4.m1dec

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