DLMF:10.22.E18 (Q3392): Difference between revisions

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Property / constraint
 

n = 0 , 1 , 2 , … 𝑛 0 1 2 … {\displaystyle{\displaystyle n=0,1,2,\dots}}

n=0,1,2,\dots
Property / constraint: n = 0 , 1 , 2 , … 𝑛 0 1 2 … {\displaystyle{\displaystyle n=0,1,2,\dots}} / rank
 
Normal rank

Revision as of 17:19, 30 December 2019

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DLMF:10.22.E18
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    Statements

    test
    ∫ 0 1 2 ⁢ π Y 0 ⁡ ( 2 ⁢ z ⁢ sin ⁡ θ ) ⁢ cos ⁡ ( 2 ⁢ n ⁢ θ ) ⁢ d θ = 1 2 ⁢ π ⁢ J n ⁡ ( z ) ⁢ Y n ⁡ ( z ) , superscript subscript 0 1 2 𝜋 Bessel-Y-Weber 0 2 𝑧 𝜃 2 𝑛 𝜃 𝜃 1 2 𝜋 Bessel-J 𝑛 𝑧 Bessel-Y-Weber 𝑛 𝑧 {\displaystyle{\displaystyle\int_{0}^{\frac{1}{2}\pi}Y_{0}\left(2z\sin\theta% \right)\cos\left(2n\theta\right)\mathrm{d}\theta=\tfrac{1}{2}\pi J_{n}\left(z% \right)Y_{n}\left(z\right),}}
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    DLMF id
    DLMF:10.22.E18
    0 references
    constraint
    n = 0 , 1 , 2 , … 𝑛 0 1 2 … {\displaystyle{\displaystyle n=0,1,2,\dots}}
    0 references
     
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