DLMF:11.10.E14 (Q4032): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Weber function / rank
 
Normal rank
Property / Symbols used: Weber function / qualifier
 
test:

𝐄 ν ⁡ ( z ) Weber-E 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{E}_{\NVar{\nu}}\left(\NVar{z}\right)}}

\WeberE{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: Weber function / qualifier
 
xml-id: C11.S10.E2.m2ahdec

Revision as of 13:55, 2 January 2020

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DLMF:11.10.E14
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    Statements

    test
    sin ⁡ ( π ⁢ ν ) ⁢ 𝐄 ν ⁡ ( z ) = 𝐉 - ν ⁡ ( z ) - cos ⁡ ( π ⁢ ν ) ⁢ 𝐉 ν ⁡ ( z ) . 𝜋 𝜈 Weber-E 𝜈 𝑧 Anger-J 𝜈 𝑧 𝜋 𝜈 Anger-J 𝜈 𝑧 {\displaystyle{\displaystyle\sin\left(\pi\nu\right)\,\mathbf{E}_{\nu}\left(z% \right)=\mathbf{J}_{-\nu}\left(z\right)-\cos\left(\pi\nu\right)\,\mathbf{J}_{% \nu}\left(z\right).}}
    0 references
    DLMF id
    DLMF:11.10.E14
    0 references
    Symbols used
    Anger function
    test
    𝐉 ν ⁡ ( z ) Anger-J 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{J}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S10.E1.m2ahdec
    0 references
    Weber function
    test
    𝐄 ν ⁡ ( z ) Weber-E 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{E}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S10.E2.m2ahdec
    0 references
     
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