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DLMF:11.10.E34 - MaRDI portal

DLMF:11.10.E34 (Q4753)

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DLMF:11.10.E34
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    Statements

    DLMF defining formula
    2 ⁢ 𝐉 ν ′ ⁡ ( z ) = 𝐉 ν - 1 ⁡ ( z ) - 𝐉 ν + 1 ⁡ ( z ) , 2 diffop Anger-J 𝜈 1 𝑧 Anger-J 𝜈 1 𝑧 Anger-J 𝜈 1 𝑧 {\displaystyle{\displaystyle 2\mathbf{J}_{\nu}'\left(z\right)=\mathbf{J}_{\nu-% 1}\left(z\right)-\mathbf{J}_{\nu+1}\left(z\right),}}
    0 references
    Symbols used
    Anger function
    DLMF defining formula
    𝐉 ν ⁡ ( z ) Anger-J 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{J}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S10.E1.m2ardec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C11.S1.XMD2.m1aedec
    0 references
    real or complex order
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C11.S1.XMD3.m1acdec
    0 references
     
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