DLMF:10.68.E2 (Q3863): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Kelvin function / rank
 
Normal rank
Property / Symbols used: Kelvin function / qualifier
 
Defining formula:

ker ν ⁡ ( x ) Kelvin-ker 𝜈 𝑥 {\displaystyle{\displaystyle\operatorname{ker}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

\Kelvinker{\NVar{\nu}}@{\NVar{x}}
Property / Symbols used: Kelvin function / qualifier
 
xml-id: C10.S61.E2.m2adec

Revision as of 14:29, 2 January 2020

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DLMF:10.68.E2
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    Statements

    Defining formula
    N ν ⁡ ( x ) ⁢ e i ⁢ ϕ ν ⁡ ( x ) = ker ν ⁡ x + i ⁢ kei ν ⁡ x , modulus-Bessel-N 𝜈 𝑥 superscript 𝑒 𝑖 phase-Bessel-Phi 𝜈 𝑥 Kelvin-ker 𝜈 𝑥 𝑖 Kelvin-kei 𝜈 𝑥 {\displaystyle{\displaystyle N_{\nu}\left(x\right)e^{i\phi_{\nu}\left(x\right)% }=\operatorname{ker}_{\nu}x+i\operatorname{kei}_{\nu}x,}}
    0 references
    DLMF id
    DLMF:10.68.E2
    0 references
    Symbols used
    Kelvin function
    Defining formula
    kei ν ⁡ ( x ) Kelvin-kei 𝜈 𝑥 {\displaystyle{\displaystyle\operatorname{kei}_{\NVar{\nu}}\left(\NVar{x}% \right)}}
    xml-id
    C10.S61.E2.m3adec
    0 references
    Kelvin function
    Defining formula
    ker ν ⁡ ( x ) Kelvin-ker 𝜈 𝑥 {\displaystyle{\displaystyle\operatorname{ker}_{\NVar{\nu}}\left(\NVar{x}% \right)}}
    xml-id
    C10.S61.E2.m2adec
    0 references
     
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