DLMF:9.13.E21 (Q2984): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: parameter (locally) / rank
 
Normal rank
Property / Symbols used: parameter (locally) / qualifier
 
test:

α 𝛼 {\displaystyle{\displaystyle\alpha}}

\alpha
Property / Symbols used: parameter (locally) / qualifier
 
xml-id: C9.S13.XMD10.m1bdec

Revision as of 14:02, 2 January 2020

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DLMF:9.13.E21
No description defined

    Statements

    test
    U 2 ⁢ ( x , α ) = ( α + 2 ) 1 / ( α + 2 ) ⁢ Γ ⁡ ( α + 3 α + 2 ) ⁢ x 1 / 2 ⁢ J 1 / ( α + 2 ) ⁡ ( 2 α + 2 ⁢ x ( α + 2 ) / 2 ) , subscript 𝑈 2 𝑥 𝛼 superscript 𝛼 2 1 𝛼 2 Euler-Gamma 𝛼 3 𝛼 2 superscript 𝑥 1 2 Bessel-J 1 𝛼 2 2 𝛼 2 superscript 𝑥 𝛼 2 2 {\displaystyle{\displaystyle U_{2}(x,\alpha)=(\alpha+2)^{1/(\alpha+2)}\*\Gamma% \left(\frac{\alpha+3}{\alpha+2}\right)x^{1/2}J_{1/(\alpha+2)}\left(\frac{2}{% \alpha+2}x^{(\alpha+2)/2}\right),}}
    0 references
    DLMF id
    DLMF:9.13.E21
    0 references
    Symbols used
    Bessel function of the first kind
    test
    J ν ⁡ ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C10.S2.E2.m2acdec
    0 references
    gamma function
    test
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2abdec
    0 references
    parameter (locally)
    test
    α 𝛼 {\displaystyle{\displaystyle\alpha}}
    xml-id
    C9.S13.XMD10.m1bdec
    0 references
     
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