DLMF:15.8.E14 (Q5071)

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Language	Label	Description	Also known as
English	DLMF:15.8.E14	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle F\left({a,b\atop 2b};z\right)=\left(1-z\right)^{-% \ifrac{a}{2}}F\left({\tfrac{1}{2}a,b-\tfrac{1}{2}a\atop b+\tfrac{1}{2}};\frac{% z^{2}}{4z-4}\right),}}

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DLMF:15.8.E14

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{\displaystyle{\displaystyle|\operatorname{ph}\left(1-z\right)|<\pi}}

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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.m2acdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2ajdec

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Defining formula

{\displaystyle{\displaystyle\operatorname{ph}}}

C1.S9.E7.m1ajdec

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Defining formula

{\displaystyle{\displaystyle z}}

C15.S1.XMD3.m1mdec

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