DLMF:10.21.E15 (Q3299): Difference between revisions

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Property / constraint
 

ν 0 𝜈 0 {\displaystyle{\displaystyle\nu\geq 0}}

\nu\geq 0
Property / constraint: ν 0 𝜈 0 {\displaystyle{\displaystyle\nu\geq 0}} / rank
 
Normal rank

Revision as of 16:18, 30 December 2019

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DLMF:10.21.E15
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    J ν ( z ) = ( 1 2 z ) ν Γ ( ν + 1 ) k = 1 ( 1 - z 2 j ν , k 2 ) , Bessel-J 𝜈 𝑧 superscript 1 2 𝑧 𝜈 Euler-Gamma 𝜈 1 superscript subscript product 𝑘 1 1 superscript 𝑧 2 zero-Bessel-J 𝜈 𝑘 2 {\displaystyle{\displaystyle J_{\nu}\left(z\right)=\frac{(\tfrac{1}{2}z)^{\nu}% }{\Gamma\left(\nu+1\right)}\prod_{k=1}^{\infty}\left(1-\frac{z^{2}}{{j_{\nu,k}% ^{2}}}\right),}}
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    ν 0 𝜈 0 {\displaystyle{\displaystyle\nu\geq 0}}
    0 references