DLMF:8.11.E16 (Q2589): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10931 / rank
 
Normal rank
Property / Symbols used: Q10931 / qualifier
 
Defining formula:

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

\asympexp
Property / Symbols used: Q10931 / qualifier
 
xml-id: C2.S1.SS3.p1.m11acdec

Revision as of 13:55, 2 January 2020

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DLMF:8.11.E16
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    Statements

    S n ( 1 ) - 1 2 n ! e n n n - 2 3 + 4 135 n - 1 - 8 2835 n - 2 - 16 8505 n - 3 + , asymptotic-expansion subscript 𝑆 𝑛 1 1 2 𝑛 superscript 𝑒 𝑛 superscript 𝑛 𝑛 2 3 4 135 superscript 𝑛 1 8 2835 superscript 𝑛 2 16 8505 superscript 𝑛 3 {\displaystyle{\displaystyle S_{n}(1)-\frac{1}{2}\frac{n!e^{n}}{n^{n}}\sim-% \tfrac{2}{3}+\tfrac{4}{135}n^{-1}-\tfrac{8}{2835}n^{-2}-\tfrac{16}{8505}n^{-3}% +\dots,}}
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    DLMF:8.11.E16
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    asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    C2.S1.SS3.p1.m11acdec
    0 references