DLMF:17.2.E35 (Q5325)

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Language	Label	Description	Also known as
English	DLMF:17.2.E35	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{j=0}^{n}\genfrac{[}{]}{0.0pt}{}{n}{j}_{q}(-z% )^{j}q^{\genfrac{(}{)}{0.0pt}{}{j}{2}}=\left(z;q\right)_{n}={(1-z)(1-zq)\cdots% (1-zq^{n-1})}.}}

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DLMF:17.2.E35

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Defining formula

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

C1.S2.SS1.m1akdec

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Defining formula

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

C17.S2.SS1.p1.m2aaddec

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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.m2ahdec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1ahdec

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Defining formula

{\displaystyle{\displaystyle j}}

C17.S1.XMD2.m1edec

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Defining formula

{\displaystyle{\displaystyle n}}

C17.S1.XMD4.m1aedec

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Defining formula

{\displaystyle{\displaystyle z}}

C17.S1.XMD7.m1dec

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Sitelinks

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