DLMF:15.4.E18 (Q5002)

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Language	Label	Description	Also known as
English	DLMF:15.4.E18	No description defined

Statements

Defining formula

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

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DLMF:15.4.E18

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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.m2aqdec

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Defining formula

{\displaystyle{\displaystyle z}}

C15.S1.XMD3.m1qdec

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Defining formula

{\displaystyle{\displaystyle a}}

C15.S1.XMD4.m1ldec

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