DLMF:10.9#Ex2 (Q3074): Difference between revisions

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Property / constraint
 

| ν | < 1 , x > 0 formulae-sequence 𝜈 1 𝑥 0 {\displaystyle{\displaystyle|\Re\nu|<1,x>0}}

|\realpart@@{\nu}|<1,x>0
Property / constraint: | ν | < 1 , x > 0 formulae-sequence 𝜈 1 𝑥 0 {\displaystyle{\displaystyle|\Re\nu|<1,x>0}} / rank
 
Normal rank

Latest revision as of 17:15, 30 December 2019

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DLMF:10.9#Ex2
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    Statements

    Y ν ( x ) = - 2 π 0 cos ( x cosh t - 1 2 ν π ) cosh ( ν t ) d t , Bessel-Y-Weber 𝜈 𝑥 2 𝜋 superscript subscript 0 𝑥 𝑡 1 2 𝜈 𝜋 𝜈 𝑡 𝑡 {\displaystyle{\displaystyle Y_{\nu}\left(x\right)=-\frac{2}{\pi}\int_{0}^{% \infty}\cos\left(x\cosh t-\tfrac{1}{2}\nu\pi\right)\cosh\left(\nu t\right)% \mathrm{d}t,}}
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    | ν | < 1 , x > 0 formulae-sequence 𝜈 1 𝑥 0 {\displaystyle{\displaystyle|\Re\nu|<1,x>0}}
    0 references