DLMF:5.9.E9 (Q2098): Difference between revisions

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Property / constraint
 

n = 2 , 3 , 4 , 𝑛 2 3 4 {\displaystyle{\displaystyle n=2,3,4,\dots}}

n=2,3,4,\dots
Property / constraint: n = 2 , 3 , 4 , 𝑛 2 3 4 {\displaystyle{\displaystyle n=2,3,4,\dots}} / rank
 
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Revision as of 16:05, 30 December 2019

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DLMF:5.9.E9
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    Statements

    Γ ( 1 + 1 n ) sin ( π 2 n ) = 0 sin ( t n ) d t , Euler-Gamma 1 1 𝑛 𝜋 2 𝑛 superscript subscript 0 superscript 𝑡 𝑛 𝑡 {\displaystyle{\displaystyle\Gamma\left(1+\frac{1}{n}\right)\sin\left(\frac{% \pi}{2n}\right)=\int_{0}^{\infty}\sin\left(t^{n}\right)\mathrm{d}t,}}
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    n = 2 , 3 , 4 , 𝑛 2 3 4 {\displaystyle{\displaystyle n=2,3,4,\dots}}
    0 references