DLMF:13.18.E9 (Q4578): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: modified Bessel function of the second kind / rank
 
Normal rank
Property / Symbols used: modified Bessel function of the second kind / qualifier
 
test:

K ν ⁡ ( z ) modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}

\modBesselK{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: modified Bessel function of the second kind / qualifier
 
xml-id: C10.S25.E3.m2adec

Revision as of 15:12, 2 January 2020

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DLMF:13.18.E9
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    Statements

    test
    W 0 , ν ⁡ ( 2 ⁢ z ) = 2 ⁢ z / π ⁢ K ν ⁡ ( z ) , Whittaker-confluent-hypergeometric-W 0 𝜈 2 𝑧 2 𝑧 𝜋 modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle W_{0,\nu}\left(2z\right)=\sqrt{\ifrac{2z}{\pi}}K_% {\nu}\left(z\right),}}
    0 references
    DLMF id
    DLMF:13.18.E9
    0 references
    Symbols used
    Whittaker confluent hypergeometric function
    test
    W κ , μ ⁡ ( z ) Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 {\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
    xml-id
    C13.S14.E3.m2acdec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2abdec
    0 references
    modified Bessel function of the second kind
    test
    K ν ⁡ ( z ) modified-Bessel-second-kind 𝜈 𝑧 {\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S25.E3.m2adec
    0 references
     
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