DLMF:19.19.E3 (Q6363)

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Language	Label	Description	Also known as
English	DLMF:19.19.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle R_{-a}\left(\mathbf{b};\mathbf{z}\right)=z_{n}^{-% a}\sum_{N=0}^{\infty}\frac{{\left(a\right)_{N}}}{{\left(c\right)_{N}}}\*{T_{N}% (b_{1},\dots,b_{n-1};1-(z_{1}/z_{n}),\dots,1-(z_{n-1}/z_{n}))},}}

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DLMF:19.19.E3

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{\displaystyle{\displaystyle|1-(z_{j}/z_{n})|<1}}

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multivariate hypergeometric function

Defining formula

{\displaystyle{\displaystyle R_{\NVar{-a}}\left(\NVar{b_{1}},\dots,\NVar{b_{n}% };\NVar{z_{1}},\dots,\NVar{z_{n}}\right)}}

C19.S16.E9.m2aadec

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Defining formula

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

C5.S2.SS3.m1abdec

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Defining formula

{\displaystyle{\displaystyle n}}

C19.S1.XMD3.m1bdec

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Defining formula

{\displaystyle{\displaystyle N}}

C19.S19.XMD1.m1bdec

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Defining formula

{\displaystyle{\displaystyle T_{N}(\mathbf{b},\mathbf{z})}}

C19.S19.XMD2.m1bdec

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