DLMF:17.3.E9 (Q5349): Difference between revisions

Revision as of 14:54, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:17.3.E9	No description defined

{\displaystyle{\displaystyle a_{m,s}\left(q\right)=\frac{q^{-\genfrac{(}{)}{0.% 0pt}{}{s}{2}}(1-q)^{s}}{\left(q;q\right)_{s}}\sum_{j=0}^{s}(-1)^{j}q^{\genfrac% {(}{)}{0.0pt}{}{j}{2}}\genfrac{[}{]}{0.0pt}{}{s}{j}_{q}\frac{(1-q^{s-j})^{m}}{% (1-q)^{m}}.}}

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DLMF:17.3.E9

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{\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}

C1.S2.SS1.m1acdec

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

C17.S2.SS1.p1.m2afdec

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{\displaystyle{\displaystyle\genfrac{[}{]}{0.0pt}{}{\NVar{n}}{\NVar{m}}_{\NVar% {q}}}}

C17.S2.E27.m2aadec

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@@ Property / Symbols used @@
+$$q$$ -binomial coefficient (or Gaussian polynomial)
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\genfrac{[}{]}{0.0pt}{}{\NVar{n}}{\NVar{m}}_{\NVar% {q}}}}$ 
\qbinom{\NVar{n}}{\NVar{m}}{\NVar{q}}
+xml-id: C17.S2.E27.m2aadec