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

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‎Changed an Item: Add constraint
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Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
Defining formula:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2aadec

Revision as of 14:28, 2 January 2020

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DLMF:33.11.E4
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    Statements

    Defining formula
    H ℓ ± ⁡ ( η , ρ ) = e ± i ⁢ θ ℓ ⁢ ( f ⁢ ( η , ρ ) ± i ⁢ g ⁢ ( η , ρ ) ) , irregular-Coulomb-H plus-or-minus ℓ 𝜂 𝜌 superscript 𝑒 plus-or-minus imaginary-unit Coulomb-phase ℓ 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)),}}
    0 references
    DLMF id
    DLMF:33.11.E4
    0 references
    Symbols used
    phase of Coulomb functions
    Defining formula
    θ ℓ ⁡ ( η , ρ ) Coulomb-phase ℓ 𝜂 𝜌 {\displaystyle{\displaystyle{\theta_{\NVar{\ell}}}\left(\NVar{\eta},\NVar{\rho% }\right)}}
    xml-id
    C33.S2.E9.m2acdec
    0 references
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aadec
    0 references
     
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