DLMF:15.9.E22 (Q5112): Difference between revisions

Revision as of 16:57, 30 December 2019

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Language	Label	Description	Also known as
English	DLMF:15.9.E22	No description defined

{\displaystyle{\displaystyle\mathbf{F}\left({a,b\atop\tfrac{1}{2}};z\right)=% \frac{2^{a+b-(\ifrac{3}{2})}}{\pi}\Gamma\left(a+\tfrac{1}{2}\right)\Gamma\left% (b+\tfrac{1}{2}\right)\*(z-1)^{(-a-b+(\ifrac{1}{2}))/2}\*\left(e^{\pm\pi% \mathrm{i}(a+b-(\ifrac{1}{2}))}P^{-a-b+(\ifrac{1}{2})}_{a-b-(\ifrac{1}{2})}% \left(-\sqrt{z}\right)+P^{-a-b+(\ifrac{1}{2})}_{a-b-(\ifrac{1}{2})}\left(\sqrt% {z}\right)\right),}}

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{\displaystyle{\displaystyle 0<|\operatorname{ph}z|<\pi}}

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{\displaystyle{\displaystyle a,b\neq-\frac{1}{2},-\frac{3}{2},-\frac{5}{2},% \ldots}}

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Revision as of 16:57, 30 December 2019 imported>Admin Admin moved page Main Page to Verifying DLMF with Maple and Mathematica ← Older edit	Revision as of 16:57, 30 December 2019 imported>Admin Admin moved page Main Page to Verifying DLMF with Maple and Mathematica Newer edit →
	Property / constraint
		${\displaystyle{\displaystyle a,b\neq-\frac{1}{2},-\frac{3}{2},-\frac{5}{2},% \ldots}}$ `a,b\neq-\frac{1}{2},-\frac{3}{2},-\frac{5}{2},\dotsc`
	Property / constraint: ${\displaystyle{\displaystyle a,b\neq-\frac{1}{2},-\frac{3}{2},-\frac{5}{2},% \ldots}}$ / rank
		Normal rank