DLMF:10.18.E2 (Q3189): Difference between revisions

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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 15:33, 2 January 2020

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DLMF:10.18.E2
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    Statements

    Defining formula
    N ν ⁡ ( x ) ⁢ e i ⁢ ϕ ν ⁡ ( x ) = H ν ( 1 ) ′ ⁡ ( x ) , modulus-Bessel-N 𝜈 𝑥 superscript 𝑒 𝑖 phase-Bessel-Phi 𝜈 𝑥 diffop Hankel-H-1-Bessel-third-kind 𝜈 1 𝑥 {\displaystyle{\displaystyle N_{\nu}\left(x\right)e^{i\phi_{\nu}\left(x\right)% }={H^{(1)}_{\nu}}'\left(x\right),}}
    0 references
    DLMF id
    DLMF:10.18.E2
    0 references
    Symbols used
    Bessel function of the third kind (or Hankel function)
    Defining formula
    H ν ( 1 ) ⁡ ( z ) Hankel-H-1-Bessel-third-kind 𝜈 𝑧 {\displaystyle{\displaystyle{H^{(1)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E5.m2aadec
    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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