DLMF:13.4.E14 (Q4377): Difference between revisions

Revision as of 17:46, 30 December 2019

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Language	Label	Description	Also known as
English	DLMF:13.4.E14	No description defined

{\displaystyle{\displaystyle U\left(a,b,z\right)=e^{-a\pi\mathrm{i}}\frac{% \Gamma\left(1-a\right)}{2\pi\mathrm{i}}\int_{\infty}^{(0+)}e^{-zt}t^{a-1}{(1+t% )^{b-a-1}}\mathrm{d}t,}}

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DLMF:13.4.E14

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{\displaystyle{\displaystyle\left|\operatorname{ph}z\right|<\frac{1}{2}\pi}}

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{\displaystyle{\displaystyle a\neq 1,2,3,\dots}}

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{\displaystyle{\displaystyle\left|\operatorname{ph}z\right|<\frac{1}{2}\pi}}

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Revision as of 17:46, 30 December 2019 Admin (talk \| contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit	Revision as of 17:46, 30 December 2019 Admin (talk \| contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint Newer edit →
	Property / constraint
		${\displaystyle{\displaystyle\left\|\operatorname{ph}z\right\|<\frac{1}{2}\pi}}$ `\left\|\operatorname{ph}z\right\|<\frac{1}{2}\pi`
	Property / constraint: ${\displaystyle{\displaystyle\left\|\operatorname{ph}z\right\|<\frac{1}{2}\pi}}$ / rank
		Normal rank