DLMF:15.2#Ex1 (Q4980)

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Language	Label	Description	Also known as
English	DLMF:15.2#Ex1	No description defined

Statements

{\displaystyle{\displaystyle\lim_{c\to-n}\frac{F\left(a,b;c;z\right)}{\Gamma% \left(c\right)}=\mathbf{F}\left(a,b;-n;z\right)=\frac{{\left(a\right)_{n+1}}{% \left(b\right)_{n+1}}}{(n+1)!}z^{n+1}F\left(a+n+1,b+n+1;n+2;z\right),}}

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DLMF:15.2#Ex1

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{\displaystyle{\displaystyle n=0,1,2,\dots}}

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