DLMF:1.15.E28 (Q570)

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DLMF:1.15.E28
No description defined

    Statements

    Defining formula
    - ∑ n = - ∞ ∞ i ⁢ ( sign ⁡ n ) ⁢ F ⁢ ( n ) ⁢ r | n | ⁢ e i ⁢ n ⁢ θ ; subscript superscript 𝑛 𝑖 sign 𝑛 𝐹 𝑛 superscript 𝑟 𝑛 superscript 𝑒 𝑖 𝑛 𝜃 {\displaystyle{\displaystyle-\sum^{\infty}_{n=-\infty}i(\operatorname{sign}n)F% (n)r^{|n|}e^{in\theta};}}
    0 references
    DLMF id
    DLMF:1.15.E28
    0 references
    Symbols used
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2agdec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2agdec
    0 references
    Q10897
    Defining formula
    sign ⁡ x sign 𝑥 {\displaystyle{\displaystyle\operatorname{sign}\NVar{x}}}
    xml-id
    introduction.Sx4.p2.t1.r18.m6adec
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    Q10757
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1wdec
    0 references
    DLMF:1.15.E19
    Defining formula
    F ⁢ ( n ) 𝐹 𝑛 {\displaystyle{\displaystyle F(n)}}
    xml-id
    C1.S15.XMD4.m1fdec
    0 references
     
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