DLMF:18.33.E13 (Q6021): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:18.33.E13	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\phi_{n}(z)=\sum_{\ell=0}^{n}\frac{{\left(\lambda+% 1\right)_{\ell}}{\left(\lambda\right)_{n-\ell}}}{\ell!\,(n-\ell)!}\,z^{\ell}=% \frac{{\left(\lambda\right)_{n}}}{n!}{{}_{2}F_{1}}\left({-n,\lambda+1\atop-% \lambda-n+1};z\right),}}

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DLMF:18.33.E13

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Defining formula

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

C16.S2.m5adec

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Defining formula

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

C5.S2.SS3.m1adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

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Defining formula

{\displaystyle{\displaystyle z}}

C18.S1.XMD2.m1kdec

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Defining formula

{\displaystyle{\displaystyle\ell}}

C18.S1.XMD4.m1bdec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1kdec

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Defining formula

{\displaystyle{\displaystyle\phi_{n}(z)}}

C18.S33.XMD1.m1kdec

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