DLMF:8.6.E10 (Q2524): Difference between revisions

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Property / constraint
 

| ph ⁡ z | < 1 2 ⁢ π ph 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{2}\pi}}

|\operatorname{ph}z|<\tfrac{1}{2}\pi
Property / constraint: | ph ⁡ z | < 1 2 ⁢ π ph 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{2}\pi}} / rank
 
Normal rank

Revision as of 16:10, 30 December 2019

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DLMF:8.6.E10
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    Statements

    test
    γ ⁡ ( a , z ) = 1 2 ⁢ π ⁢ i ⁢ ∫ c - i ⁢ ∞ c + i ⁢ ∞ Γ ⁡ ( s ) a - s ⁢ z a - s ⁢ d s , incomplete-gamma 𝑎 𝑧 1 2 𝜋 𝑖 superscript subscript 𝑐 𝑖 𝑐 𝑖 Euler-Gamma 𝑠 𝑎 𝑠 superscript 𝑧 𝑎 𝑠 𝑠 {\displaystyle{\displaystyle\gamma\left(a,z\right)=\frac{1}{2\pi i}\int_{c-i% \infty}^{c+i\infty}\frac{\Gamma\left(s\right)}{a-s}z^{a-s}\mathrm{d}s,}}
    0 references
    DLMF id
    DLMF:8.6.E10
    0 references
    constraint
    | ph ⁡ z | < 1 2 ⁢ π phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{2}\pi}}
    0 references
    | ph ⁡ z | < 1 2 ⁢ π ph 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{2}\pi}}
    0 references
     
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