DLMF:15.4.E20 (Q5004): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:15.4.E20	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle F\left(a,b;c;1\right)=\frac{\Gamma\left(c\right)% \Gamma\left(c-a-b\right)}{\Gamma\left(c-a\right)\Gamma\left(c-b\right)}.}}

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DLMF:15.4.E20

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2adec

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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.m2asdec

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Defining formula

{\displaystyle{\displaystyle a}}

C15.S1.XMD4.m1ndec

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Defining formula

{\displaystyle{\displaystyle b}}

C15.S1.XMD5.m1bdec

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Defining formula

{\displaystyle{\displaystyle c}}

C15.S1.XMD6.m1dec

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