DLMF:12.5.E8 (Q4122): Difference between revisions

Revision as of 17:44, 30 December 2019

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Language	Label	Description	Also known as
English	DLMF:12.5.E8	No description defined

{\displaystyle{\displaystyle U\left(a,z\right)=\frac{e^{-\frac{1}{4}z^{2}}z^{-% a-\frac{1}{2}}}{2\pi i\Gamma\left(\frac{1}{2}+a\right)}\*\int_{-i\infty}^{i% \infty}\Gamma\left(t\right)\Gamma\left(\tfrac{1}{2}+a-2t\right)2^{t}z^{2t}% \mathrm{d}t,}}

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DLMF:12.5.E8

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{\displaystyle{\displaystyle|\operatorname{ph}z|<\tfrac{3}{4}\pi}}

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{\displaystyle{\displaystyle a\neq-\frac{1}{2},-\frac{3}{2},-\frac{5}{2},\dots}}

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Revision as of 17:43, 30 December 2019 Admin (talk \| contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit	Revision as of 17:44, 30 December 2019 Admin (talk \| contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint Newer edit →
	Property / constraint
		${\displaystyle{\displaystyle a\neq-\frac{1}{2},-\frac{3}{2},-\frac{5}{2},\dots}}$ `a\neq-\frac{1}{2},-\frac{3}{2},-\frac{5}{2},\dots`
	Property / constraint: ${\displaystyle{\displaystyle a\neq-\frac{1}{2},-\frac{3}{2},-\frac{5}{2},\dots}}$ / rank
		Normal rank