DLMF:2.11.E2 (Q1025): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11135 / rank
 
Normal rank
Property / Symbols used: Q11135 / qualifier
 
Defining formula:

q s ( t ) subscript 𝑞 𝑠 𝑡 {\displaystyle{\displaystyle q_{s}(t)}}

q_{s}(t)
Property / Symbols used: Q11135 / qualifier
 
xml-id: C2.S11.XMD2.m1dec

Latest revision as of 17:38, 1 January 2020

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DLMF:2.11.E2
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    Statements

    I ( m ) ( - 1 ) m s = 1 q s ( π ) m 2 s , asymptotic-expansion 𝐼 𝑚 superscript 1 𝑚 superscript subscript 𝑠 1 subscript 𝑞 𝑠 𝜋 superscript 𝑚 2 𝑠 {\displaystyle{\displaystyle I(m)\sim(-1)^{m}\sum_{s=1}^{\infty}\frac{q_{s}(% \pi)}{m^{2s}},}}
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    DLMF:2.11.E2
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    m 𝑚 {\displaystyle{\displaystyle m\to\infty}}
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    asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    C2.S1.SS3.p1.m11adec
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2aadec
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    I ( m ) 𝐼 𝑚 {\displaystyle{\displaystyle I(m)}}
    C2.S11.XMD1.m1adec
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    q s ( t ) subscript 𝑞 𝑠 𝑡 {\displaystyle{\displaystyle q_{s}(t)}}
    C2.S11.XMD2.m1dec
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