DLMF:11.10.E25 (Q4743)

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DLMF:11.10.E25
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    Statements

    DLMF defining formula
    𝐄 ν ⁡ ( 0 ) = 1 - cos ⁡ ( π ⁢ ν ) π ⁢ ν . Weber-E 𝜈 0 1 𝜋 𝜈 𝜋 𝜈 {\displaystyle{\displaystyle\displaystyle\mathbf{E}_{\nu}\left(0\right)=\frac{% 1-\cos\left(\pi\nu\right)}{\pi\nu}.}}
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    comment
    Warning: Part 2 of multicontent tex element;
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    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.m2amdec
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    Weber function
    DLMF defining formula
    𝐄 ν ⁡ ( z ) Weber-E 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{E}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S10.E2.m2aodec
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    the ratio of the circumference of a circle to its diameter
    DLMF defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2asdec
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    cosine function
    DLMF defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2akdec
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    sine function
    DLMF defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2aldec
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    real or complex order
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C11.S1.XMD3.m1vdec
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    Identifiers

     
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