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

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Property / Symbols used
 
Property / Symbols used: Q10931 / rank
 
Normal rank
Property / Symbols used: Q10931 / qualifier
 
test:

∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}

\asympexp
Property / Symbols used: Q10931 / qualifier
 
xml-id: C2.S1.SS3.p1.m11adec

Revision as of 16:09, 1 January 2020

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DLMF:2.6.E6
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    Statements

    test
    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)},}}
    0 references
    DLMF id
    DLMF:2.6.E6
    0 references
    constraint
    x → ∞ → 𝑥 {\displaystyle{\displaystyle x\to\infty}}
    0 references
    Symbols used
    Q10931
    test
    ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.SS3.p1.m11adec
    0 references
     
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