DLMF:33.10.E2 (Q9560): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:33.10.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{H^{\pm}_{\ell}}\left(\eta,\rho\right)\sim\exp% \left(\pm\mathrm{i}{\theta_{\ell}}\left(\eta,\rho\right)\right),}}

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DLMF:33.10.E2

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phase of Coulomb functions

Defining formula

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

C33.S2.E9.m2aadec

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asymptotic equality

Defining formula

{\displaystyle{\displaystyle\sim}}

C2.S1.E1.m2adec

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exponential function

Defining formula

{\displaystyle{\displaystyle\exp\NVar{z}}}

C4.S2.E19.m2adec

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Defining formula

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

C1.S9.E1.m2adec

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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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Defining formula

{\displaystyle{\displaystyle\ell}}

C33.S1.XMD2.m1adec

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Defining formula

{\displaystyle{\displaystyle\rho}}

C33.S1.XMD5.m1adec

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Defining formula

{\displaystyle{\displaystyle\eta}}

C33.S1.XMD7.m1adec

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