DLMF:18.22.E20 (Q5891): Difference between revisions

Revision as of 01:36, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:18.22.E20	No description defined

{\displaystyle{\displaystyle\nabla_{x}\left(\frac{{\left(\alpha+1\right)_{x}}{% \left(\beta+1\right)_{N-x}}}{x!\;(N-x)!}Q_{n}\left(x;\alpha,\beta,N\right)% \right)=\frac{N+1}{\beta}\frac{{\left(\alpha\right)_{x}}{\left(\beta\right)_{N% +1-x}}}{x!\;(N+1-x)!}\*Q_{n+1}\left(x;\alpha-1,\beta-1,N+1\right).}}

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DLMF:18.22.E20

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{\displaystyle{\displaystyle Q_{\NVar{n}}\left(\NVar{x};\NVar{\alpha},\NVar{% \beta},\NVar{N}\right)}}

C18.S19.T1.t1.r2.m1acdec

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@@ Property / Symbols used @@
+Q11768
@@ Property / Symbols used: Q11768 / rank @@
+Normal rank
@@ Property / Symbols used: Q11768 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle Q_{\NVar{n}}\left(\NVar{x};\NVar{\alpha},\NVar{% \beta},\NVar{N}\right)}}$ 
\HahnpolyQ{\NVar{n}}@{\NVar{x}}{\NVar{\alpha}}{\NVar{\beta}}{\NVar{N}}
@@ Property / Symbols used: Q11768 / qualifier @@
+xml-id: C18.S19.T1.t1.r2.m1acdec