DLMF:10.5.E4 (Q3027): Difference between revisions

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imported>Admin
Property / Symbols used
 
Property / Symbols used: Bessel function of the first kind / rank
 
Normal rank
Property / Symbols used: Bessel function of the first kind / qualifier
 
test:

J ν ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}

\BesselJ{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: Bessel function of the first kind / qualifier
 
xml-id: C10.S2.E2.m2acdec

Revision as of 15:07, 2 January 2020

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DLMF:10.5.E4
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    Statements

    𝒲 { J ν ( z ) , H ν ( 2 ) ( z ) } = J ν + 1 ( z ) H ν ( 2 ) ( z ) - J ν ( z ) H ν + 1 ( 2 ) ( z ) = - 2 i / ( π z ) , Wronskian Bessel-J 𝜈 𝑧 Hankel-H-2-Bessel-third-kind 𝜈 𝑧 Bessel-J 𝜈 1 𝑧 Hankel-H-2-Bessel-third-kind 𝜈 𝑧 Bessel-J 𝜈 𝑧 Hankel-H-2-Bessel-third-kind 𝜈 1 𝑧 2 𝑖 𝜋 𝑧 {\displaystyle{\displaystyle\mathscr{W}\left\{J_{\nu}\left(z\right),{H^{(2)}_{% \nu}}\left(z\right)\right\}=J_{\nu+1}\left(z\right){H^{(2)}_{\nu}}\left(z% \right)-J_{\nu}\left(z\right){H^{(2)}_{\nu+1}}\left(z\right)=-2i/(\pi z),}}
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    J ν ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
    C10.S2.E2.m2acdec
    0 references