DLMF:2.8.E34 (Q970): Difference between revisions

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Property / constraint
 

X ν x < subscript 𝑋 𝜈 𝑥 {\displaystyle{\displaystyle X_{\nu}\leq x<\infty}}

X_{\nu}\leq x<\infty
Property / constraint: X ν x < subscript 𝑋 𝜈 𝑥 {\displaystyle{\displaystyle X_{\nu}\leq x<\infty}} / rank
 
Normal rank

Revision as of 15:54, 30 December 2019

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DLMF:2.8.E34
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    Statements

    env J ν ( x ) = env Y ν ( x ) = ( J ν 2 ( x ) + Y ν 2 ( x ) ) 1 / 2 , envelope-Bessel-J 𝜈 𝑥 envelope-Bessel-Y 𝜈 𝑥 superscript Bessel-J 𝜈 2 𝑥 Bessel-Y-Weber 𝜈 2 𝑥 1 2 {\displaystyle{\displaystyle\mathrm{env}\mskip-2.0mu J_{\nu}(x)=\mathrm{env}% \mskip-2.0mu Y_{\nu}(x)=\left({J_{\nu}^{2}}(x)+{Y_{\nu}^{2}}(x)\right)^{1/2},}}
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    X ν x < subscript 𝑋 𝜈 𝑥 {\displaystyle{\displaystyle X_{\nu}\leq x<\infty}}
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