DLMF:8.11.E17 (Q2590): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: function (locally) / rank
 
Normal rank
Property / Symbols used: function (locally) / qualifier
 
Defining formula:

S n ⁢ ( x ) subscript 𝑆 𝑛 𝑥 {\displaystyle{\displaystyle S_{n}(x)}}

S_{n}(x)
Property / Symbols used: function (locally) / qualifier
 
xml-id: C8.S11.XMD6.m1cdec

Latest revision as of 13:56, 2 January 2020

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DLMF:8.11.E17
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    Statements

    Defining formula
    S n ⁢ ( - 1 ) ∼ - 1 2 + 1 8 ⁢ n - 1 + 1 32 ⁢ n - 2 - 1 128 ⁢ n - 3 - 13 512 ⁢ n - 4 + … . asymptotic-expansion subscript 𝑆 𝑛 1 1 2 1 8 superscript 𝑛 1 1 32 superscript 𝑛 2 1 128 superscript 𝑛 3 13 512 superscript 𝑛 4 … {\displaystyle{\displaystyle S_{n}(-1)\sim-\tfrac{1}{2}+\tfrac{1}{8}n^{-1}+% \tfrac{1}{32}n^{-2}-\tfrac{1}{128}n^{-3}-\tfrac{13}{512}n^{-4}+\dots.}}
    0 references
    DLMF id
    DLMF:8.11.E17
    0 references
    Symbols used
    Q10931
    Defining formula
    ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.SS3.p1.m11addec
    0 references
    Q11329
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C8.S1.XMD6.m1fdec
    0 references
    function (locally)
    Defining formula
    S n ⁢ ( x ) subscript 𝑆 𝑛 𝑥 {\displaystyle{\displaystyle S_{n}(x)}}
    xml-id
    C8.S11.XMD6.m1cdec
    0 references
     
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