DLMF:15.8.E12 (Q5069)

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Language	Label	Description	Also known as
English	DLMF:15.8.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathbf{F}\left(a,b;a+b-m;z\right)=(1-z)^{-m}% \mathbf{F}\left(\tilde{a},\tilde{b};\tilde{a}+\tilde{b}+m;z\right),}}

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DLMF:15.8.E12

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{\displaystyle{\displaystyle\tilde{a}=a-m,\tilde{b}=b-m}}

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$$={{}_{2}{\mathbf{F}}_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Olver’s hypergeometric function

Defining formula

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

C15.S2.E2.m2aidec

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Defining formula

{\displaystyle{\displaystyle z}}

C15.S1.XMD3.m1kdec

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Defining formula

{\displaystyle{\displaystyle a}}

C15.S1.XMD4.m1idec

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Defining formula

{\displaystyle{\displaystyle b}}

C15.S1.XMD5.m1idec

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Sitelinks

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