DLMF:8.21.E2 (Q2723): Difference between revisions

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Property / Symbols defined
 
Property / Symbols defined: generalized sine integral / rank
 
Normal rank

Revision as of 16:01, 30 December 2019

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DLMF:8.21.E2
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    Statements

    Defining formula
    Ci ⁡ ( a , z ) ± i ⁢ Si ⁡ ( a , z ) = e ± 1 2 ⁢ π ⁢ i ⁢ a ⁢ γ ⁡ ( a , z ⁢ e ∓ 1 2 ⁢ π ⁢ i ) . plus-or-minus generalized-cosine-integral-Ci 𝑎 𝑧 𝑖 generalized-sine-integral-Si 𝑎 𝑧 superscript 𝑒 plus-or-minus 1 2 𝜋 𝑖 𝑎 incomplete-gamma 𝑎 𝑧 superscript 𝑒 minus-or-plus 1 2 𝜋 𝑖 {\displaystyle{\displaystyle\mathrm{Ci}\left(a,z\right)\pm i\mathrm{Si}\left(a% ,z\right)=e^{\pm\frac{1}{2}\pi ia}\gamma\left(a,ze^{\mp\frac{1}{2}\pi i}\right% ).}}
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    DLMF id
    DLMF:8.21.E2
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