DLMF:3.5.E35 (Q1290)

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DLMF:3.5.E35
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    Statements

    Defining formula
    I ⁢ ( f ) = 1 2 ⁢ π ⁢ i ⁢ ∫ c - i ⁢ ∞ c + i ⁢ ∞ e ζ ⁢ ζ - s ⁢ f ⁢ ( ζ ) ⁢ d ζ , 𝐼 𝑓 1 2 imaginary-unit superscript subscript 𝑐 imaginary-unit 𝑐 imaginary-unit superscript 𝑒 𝜁 superscript 𝜁 𝑠 𝑓 𝜁 𝜁 {\displaystyle{\displaystyle I(f)=\frac{1}{2\pi\mathrm{i}}\int_{c-\mathrm{i}% \infty}^{c+\mathrm{i}\infty}e^{\zeta}\zeta^{-s}f(\zeta)\mathrm{d}\zeta,}}
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    DLMF id
    DLMF:3.5.E35
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