DLMF:2.6.E31 (Q857)

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DLMF:2.6.E31
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    Statements

    test
    f ⁢ ( t ) ∼ e i ⁢ c ⁢ t ⁢ ∑ s = 0 ∞ a s ⁢ t - s - α , asymptotic-expansion 𝑓 𝑡 superscript 𝑒 𝑖 𝑐 𝑡 superscript subscript 𝑠 0 subscript 𝑎 𝑠 superscript 𝑡 𝑠 𝛼 {\displaystyle{\displaystyle f(t)\sim e^{ict}\sum_{s=0}^{\infty}a_{s}t^{-s-% \alpha},}}
    0 references
    DLMF id
    DLMF:2.6.E31
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    constraint
    t → + ∞ → 𝑡 {\displaystyle{\displaystyle t\to+\infty}}
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    Symbols used
    Q10931
    test
    ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.SS3.p1.m11acdec
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    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aadec
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    imaginary unit
    test
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2adec
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    Q11024
    test
    c ≠ 0 𝑐 0 {\displaystyle{\displaystyle c\neq 0}}
    xml-id
    C2.S6.XMD13.m1cdec
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    Q11019
    test
    f ⁢ ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}}
    xml-id
    C2.S6.XMD2.m1ldec
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    Q11020
    test
    a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}}
    xml-id
    C2.S6.XMD3.m1hdec
    0 references
     
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