DLMF:8.6.E11 (Q2525): Difference between revisions

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Property / constraint
 

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

|\phase@@{z}|<\tfrac{1}{2}\pi
Property / constraint: | ph z | < 1 2 π phase 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.E11
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    Statements

    Γ ( a , z ) = 1 2 π i c - i c + i Γ ( s + a ) z - s s d s , incomplete-Gamma 𝑎 𝑧 1 2 𝜋 𝑖 superscript subscript 𝑐 𝑖 𝑐 𝑖 Euler-Gamma 𝑠 𝑎 superscript 𝑧 𝑠 𝑠 𝑠 {\displaystyle{\displaystyle\Gamma\left(a,z\right)=\frac{1}{2\pi i}\int_{c-i% \infty}^{c+i\infty}\Gamma\left(s+a\right)\frac{z^{-s}}{s}\mathrm{d}s,}}
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    | ph z | < 1 2 π phase 𝑧 1 2 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{1}{2}\pi}}
    0 references