DLMF:17.3.E8 (Q5348)

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Language	Label	Description	Also known as
English	DLMF:17.3.E8	No description defined

Statements

Defining formula

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

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DLMF:17.3.E8

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Symbols defined

$$q$$ -Euler number

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Defining formula

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

C1.S2.SS1.m1abdec

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$$q$$ -binomial coefficient (or Gaussian polynomial)

Defining formula

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

C17.S2.E27.m2adec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1gdec

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Defining formula

{\displaystyle{\displaystyle j}}

C17.S1.XMD2.m1dec

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Defining formula

{\displaystyle{\displaystyle m}}

C17.S1.XMD3.m1dec

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Defining formula

{\displaystyle{\displaystyle s}}

C17.S1.XMD6.m1dec

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Sitelinks

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