DLMF:19.16.E24 (Q6342): Difference between revisions

Revision as of 13:53, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:19.16.E24	No description defined

{\displaystyle{\displaystyle R_{-a}\left(\mathbf{b};\mathbf{z}\right)=\frac{z_% {1}^{a^{\prime}-b_{1}}}{\mathrm{B}\left(b_{1},a^{\prime}-b_{1}\right)}\int_{0}% ^{\infty}t^{b_{1}-1}(t+z_{1})^{-a^{\prime}}\*R_{-a}\left(\mathbf{b};0,t+z_{2},% \dots,t+z_{n}\right)\mathrm{d}t,}}

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DLMF:19.16.E24

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{\displaystyle{\displaystyle a+a^{\prime}>b_{1}>0}}

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

C19.S16.E9.m2andec

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@@ Property / Symbols used @@
+multivariate hypergeometric function
@@ Property / Symbols used: multivariate hypergeometric function / rank @@
+Normal rank
@@ Property / Symbols used: multivariate hypergeometric function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle R_{\NVar{-a}}\left(\NVar{b_{1}},\dots,\NVar{b_{n}% };\NVar{z_{1}},\dots,\NVar{z_{n}}\right)}}$ 
\Carlsonmultivarhyper{\NVar{-a}}@{\NVar{b_{1}},\dots,\NVar{b_{n}}}{\NVar{z_{1}},\dots,\NVar{z_{n}}}
@@ Property / Symbols used: multivariate hypergeometric function / qualifier @@
+xml-id: C19.S16.E9.m2andec