DLMF:15.8.E31 (Q5088)

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Language	Label	Description	Also known as
English	DLMF:15.8.E31	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle F\left({3a,3a+\frac{1}{2}\atop 4a+\frac{2}{3}};z% \right)=\left(1-\tfrac{9}{8}z\right)^{-2a}\*F\left({a,a+\frac{1}{2}\atop 2a+% \frac{5}{6}};\frac{27z^{2}(z-1)}{(9z-8)^{2}}\right),}}

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DLMF:15.8.E31

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{\displaystyle{\displaystyle\Re z<\frac{8}{9}}}

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$$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function

Defining formula

{\displaystyle{\displaystyle F\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}}

C15.S2.E1.m2atdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1agdec

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Defining formula

{\displaystyle{\displaystyle z}}

C15.S1.XMD3.m1addec

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Defining formula

{\displaystyle{\displaystyle a}}

C15.S1.XMD4.m1acdec

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