DLMF:33.3.E1 (Q9510): Difference between revisions

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Latest revision as of 14:22, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:33.3.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle M_{\ell}\left(\eta,\rho\right)=({F_{\ell}^{2}}% \left(\eta,\rho\right)+{G_{\ell}^{2}}\left(\eta,\rho\right))^{1/2}=\left|{H^{% \pm}_{\ell}}\left(\eta,\rho\right)\right|.}}

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DLMF:33.3.E1

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Symbols defined

envelope of Coulomb functions

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Defining formula

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

C33.S2.E11.m1addec

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irregular Coulomb radial functions

Defining formula

{\displaystyle{\displaystyle{H^{\NVar{\pm}}_{\NVar{\ell}}}\left(\NVar{\eta},% \NVar{\rho}\right)}}

C33.S2.E7.m2adec

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regular Coulomb radial function

Defining formula

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

C33.S2.E3.m2addec

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Defining formula

{\displaystyle{\displaystyle\ell}}

C33.S1.XMD2.m1ddec

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Defining formula

{\displaystyle{\displaystyle\rho}}

C33.S1.XMD5.m1ddec

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Defining formula

{\displaystyle{\displaystyle\eta}}

C33.S1.XMD7.m1ddec

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