DLMF:10.14.E4 (Q3141): Difference between revisions

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Property / constraint
 

ν - 1 2 𝜈 1 2 {\displaystyle{\displaystyle\nu\geq-\frac{1}{2}}}

\nu\geq-\frac{1}{2}
Property / constraint: ν - 1 2 𝜈 1 2 {\displaystyle{\displaystyle\nu\geq-\frac{1}{2}}} / rank
 
Normal rank

Revision as of 17:17, 30 December 2019

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DLMF:10.14.E4
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    Statements

    | J ν ( z ) | | 1 2 z | ν e | z | Γ ( ν + 1 ) , Bessel-J 𝜈 𝑧 superscript 1 2 𝑧 𝜈 superscript 𝑒 𝑧 Euler-Gamma 𝜈 1 {\displaystyle{\displaystyle|J_{\nu}\left(z\right)|\leq\frac{|\tfrac{1}{2}z|^{% \nu}e^{|\Im z|}}{\Gamma\left(\nu+1\right)},}}
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    ν - 1 2 𝜈 1 2 {\displaystyle{\displaystyle\nu\geq-\frac{1}{2}}}
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