DLMF:11.10.E20 (Q4038): Difference between revisions

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imported>Admin
 
imported>Admin
Property / Symbols used
 
Property / Symbols used: Anger function / rank
 
Normal rank
Property / Symbols used: Anger function / qualifier
 
test:

𝐉 ν ( z ) Anger-J 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{J}_{\NVar{\nu}}\left(\NVar{z}\right)}}

\AngerJ{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: Anger function / qualifier
 
xml-id: C11.S10.E1.m2aldec

Revision as of 13:57, 2 January 2020

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DLMF:11.10.E20
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    Statements

    𝐉 1 2 ( z ) = - 𝐄 - 1 2 ( z ) = ( 1 2 π z ) - 1 2 ( A + ( χ ) sin z + A - ( χ ) cos z ) , Anger-J 1 2 𝑧 Weber-E 1 2 𝑧 superscript 1 2 𝜋 𝑧 1 2 subscript 𝐴 𝜒 𝑧 subscript 𝐴 𝜒 𝑧 {\displaystyle{\displaystyle\mathbf{J}_{\frac{1}{2}}\left(z\right)=-\mathbf{E}% _{-\frac{1}{2}}\left(z\right)\\ =(\tfrac{1}{2}\pi z)^{-\frac{1}{2}}(A_{+}(\chi)\sin z+A_{-}(\chi)\cos z),}}
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    𝐉 ν ( z ) Anger-J 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{J}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    C11.S10.E1.m2aldec
    0 references