DLMF:8.19.E18 (Q2704): Difference between revisions

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Property / constraint
 

m ∈ ℤ 𝑚 ℤ {\displaystyle{\displaystyle m\in\mathbb{Z}}}

m\in\mathbb{Z}
Property / constraint: m ∈ ℤ 𝑚 ℤ {\displaystyle{\displaystyle m\in\mathbb{Z}}} / rank
 
Normal rank

Revision as of 16:12, 30 December 2019

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DLMF:8.19.E18
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    Statements

    test
    E p ⁡ ( z ⁢ e 2 ⁢ m ⁢ π ⁢ i ) = 2 ⁢ π ⁢ i ⁢ e m ⁢ p ⁢ π ⁢ i Γ ⁡ ( p ) ⁢ sin ⁡ ( m ⁢ p ⁢ π ) sin ⁡ ( p ⁢ π ) ⁢ z p - 1 + E p ⁡ ( z ) , exponential-integral-En 𝑝 𝑧 superscript 𝑒 2 𝑚 𝜋 𝑖 2 𝜋 𝑖 superscript 𝑒 𝑚 𝑝 𝜋 𝑖 Euler-Gamma 𝑝 𝑚 𝑝 𝜋 𝑝 𝜋 superscript 𝑧 𝑝 1 exponential-integral-En 𝑝 𝑧 {\displaystyle{\displaystyle E_{p}\left(ze^{2m\pi i}\right)=\frac{2\pi ie^{mp% \pi i}}{\Gamma\left(p\right)}\frac{\sin\left(mp\pi\right)}{\sin\left(p\pi% \right)}z^{p-1}+E_{p}\left(z\right),}}
    0 references
    DLMF id
    DLMF:8.19.E18
    0 references
    constraint
    m ∈ ℤ 𝑚 {\displaystyle{\displaystyle m\in\mathbb{Z}}}
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    m ∈ ℤ 𝑚 ℤ {\displaystyle{\displaystyle m\in\mathbb{Z}}}
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