Formula:7059

Digital Library of Mathematical Functions ID 19.19.E3

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

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle R_{\NVar{-a}}\left(\NVar{b_{1}},\dots,\NVar{b_{n}};\NVar{z_{1}},\dots,\NVar{z_{n}}\right)}}$: multivariate hypergeometric function
• ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$:
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle N}}$: nonnegative integer
• ${\displaystyle{\displaystyle T_{N}(\mathbf{b},\mathbf{z})}}$: polynomial
 

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