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

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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

    Defining formula
    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}},}}
    0 references
    DLMF id
    DLMF:2.11.E2
    0 references
    constraint
    m → ∞ → 𝑚 {\displaystyle{\displaystyle m\to\infty}}
    0 references
    Symbols used
    Q10931
    Defining formula
    ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.SS3.p1.m11adec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
    0 references
    Q11134
    Defining formula
    I ⁢ ( m ) 𝐼 𝑚 {\displaystyle{\displaystyle I(m)}}
    xml-id
    C2.S11.XMD1.m1adec
    0 references
    Q11135
    Defining formula
    q s ⁢ ( t ) subscript 𝑞 𝑠 𝑡 {\displaystyle{\displaystyle q_{s}(t)}}
    xml-id
    C2.S11.XMD2.m1dec
    0 references
     
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