DLMF:2.6.E6 (Q831): Difference between revisions

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x 𝑥 {\displaystyle{\displaystyle x\to\infty}}

x\to\infty
Property / constraint: x 𝑥 {\displaystyle{\displaystyle x\to\infty}} / rank
 
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Revision as of 15:53, 30 December 2019

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DLMF:2.6.E6
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    Statements

    S ( x ) 2 π 3 s = 0 ( - 1 ) s ( - 1 3 s ) x - s - ( 1 / 3 ) , asymptotic-expansion 𝑆 𝑥 2 𝜋 3 superscript subscript 𝑠 0 superscript 1 𝑠 binomial 1 3 𝑠 superscript 𝑥 𝑠 1 3 {\displaystyle{\displaystyle S(x)\sim\frac{2\pi}{\sqrt{3}}\sum_{s=0}^{\infty}(% -1)^{s}{\genfrac{(}{)}{0.0pt}{}{-\frac{1}{3}}{s}}x^{-s-(1/3)},}}
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    x 𝑥 {\displaystyle{\displaystyle x\to\infty}}
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