DLMF:18.26.E21 (Q5951): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:18.26.E21	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle(1-z)^{y}{{}_{2}F_{1}}\left({y-N,y+\gamma+1\atop-% \delta-N};z\right)=\sum_{n=0}^{N}\frac{{\left(\gamma+1\right)_{n}}{\left(-N% \right)_{n}}}{{\left(-\delta-N\right)_{n}}n!}\*R_{n}\left(y(y+\gamma+\delta+1)% ;\gamma,\delta,N\right)z^{n}.}}

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DLMF:18.26.E21

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Defining formula

{\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};% \NVar{z}\right)}}

C16.S2.m5acdec

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Defining formula

{\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

C5.S2.SS3.m1afdec

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Defining formula

{\displaystyle{\displaystyle R_{\NVar{n}}\left(\NVar{x};\NVar{\gamma},\NVar{% \delta},\NVar{N}\right)}}

C18.S25.T1.t1.r5.m2aedec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5afdec

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Defining formula

{\displaystyle{\displaystyle y}}

C18.S1.XMD1.m1kdec

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Defining formula

{\displaystyle{\displaystyle z}}

C18.S1.XMD2.m1cdec

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