DLMF:32.10.E31 (Q9432): Difference between revisions

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Latest revision as of 14:12, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:32.10.E31	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\phi(\zeta)=C_{1}F\left(b,-a;b+c;\zeta\right)+C_{2% }\zeta^{-b+1-c}\*F\left(-a-b-c+1,-c+1;2-b-c;\zeta\right),}}

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DLMF:32.10.E31

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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.m2adec

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Defining formula

{\displaystyle{\displaystyle a}}

C32.S10.XMD22.m1cdec

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Defining formula

{\displaystyle{\displaystyle b}}

C32.S10.XMD23.m1bdec

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Defining formula

{\displaystyle{\displaystyle c}}

C32.S10.XMD24.m1bdec

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Defining formula

{\displaystyle{\displaystyle\phi(z)}}

C32.S10.XMD27.m1adec

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Defining formula

{\displaystyle{\displaystyle C}}

C32.S10.XMD32.m1dec

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