DLMF:15.9.E23 (Q5113): 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.E23	No description defined

{\displaystyle{\displaystyle\mathbf{F}\left({a,b\atop\tfrac{3}{2}};z\right)=% \frac{2^{a+b-(\ifrac{5}{2})}}{\pi\sqrt{z}}\Gamma\left(a-\tfrac{1}{2}\right)% \Gamma\left(b-\tfrac{1}{2}\right)\*(z-1)^{(-a-b+(\ifrac{3}{2}))/2}\*\left(e^{% \pm\pi\mathrm{i}(a+b-(\ifrac{3}{2}))}P^{-a-b+(\ifrac{3}{2})}_{a-b-(\ifrac{1}{2% })}\left(-\sqrt{z}\right)-P^{-a-b+(\ifrac{3}{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{1}{2},-\frac{3}{2},% \dots}}

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

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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
		${\displaystyle{\displaystyle 0<\|\operatorname{ph}z\|<\pi}}$ `0<\|\operatorname{ph}z\|<\pi`
	Property / constraint: ${\displaystyle{\displaystyle 0<\|\operatorname{ph}z\|<\pi}}$ / rank
		Normal rank