DLMF:33.11.E4 (Q9582): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: phase of Coulomb functions / rank
 
Normal rank
Property / Symbols used: phase of Coulomb functions / qualifier
 
Defining formula:

θ ( η , ρ ) Coulomb-phase 𝜂 𝜌 {\displaystyle{\displaystyle{\theta_{\NVar{\ell}}}\left(\NVar{\eta},\NVar{\rho% }\right)}}

\Coulombphasetheta{\NVar{\ell}}@{\NVar{\eta}}{\NVar{\rho}}
Property / Symbols used: phase of Coulomb functions / qualifier
 
xml-id: C33.S2.E9.m2acdec

Revision as of 14:28, 2 January 2020

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DLMF:33.11.E4
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    H ± ( η , ρ ) = e ± i θ ( f ( η , ρ ) ± i g ( η , ρ ) ) , irregular-Coulomb-H plus-or-minus 𝜂 𝜌 superscript 𝑒 plus-or-minus imaginary-unit Coulomb-phase plus-or-minus 𝑓 𝜂 𝜌 imaginary-unit 𝑔 𝜂 𝜌 {\displaystyle{\displaystyle{H^{\pm}_{\ell}}\left(\eta,\rho\right)=e^{\pm% \mathrm{i}{\theta_{\ell}}}(f(\eta,\rho)\pm\mathrm{i}g(\eta,\rho)),}}
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    DLMF:33.11.E4
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    θ ( η , ρ ) Coulomb-phase 𝜂 𝜌 {\displaystyle{\displaystyle{\theta_{\NVar{\ell}}}\left(\NVar{\eta},\NVar{\rho% }\right)}}
    C33.S2.E9.m2acdec
    0 references