DLMF:9.9.E19 (Q2880): 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.m11aadec

Latest revision as of 14:43, 2 January 2020

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DLMF:9.9.E19
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    Statements

    Defining formula
    U ⁢ ( t ) ∼ t 2 / 3 ⁢ ( 1 - 7 48 ⁢ t - 2 + 35 288 ⁢ t - 4 - 1 81223 2 07360 ⁢ t - 6 + 186 83371 12 44160 ⁢ t - 8 - 9 11458 84361 1911 02976 ⁢ t - 10 + ⋯ ) , asymptotic-expansion 𝑈 𝑡 superscript 𝑡 2 3 1 7 48 superscript 𝑡 2 35 288 superscript 𝑡 4 1 81223 2 07360 superscript 𝑡 6 186 83371 12 44160 superscript 𝑡 8 9 11458 84361 1911 02976 superscript 𝑡 10 ⋯ {\displaystyle{\displaystyle U(t)\sim t^{2/3}\left(1-\frac{7}{48}t^{-2}+\frac{% 35}{288}t^{-4}-\frac{1\;81223}{2\;07360}t^{-6}+\frac{186\;83371}{12\;44160}t^{% -8}-\frac{9\;11458\;84361}{1911\;02976}t^{-10}+\cdots\right),}}
    0 references
    DLMF id
    DLMF:9.9.E19
    0 references
    Symbols used
    Q10931
    Defining formula
    ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.SS3.p1.m11aadec
    0 references
     
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