DLMF:17.5.E2 (Q5364): Difference between revisions

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Latest revision as of 14:56, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:17.5.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{{}_{1}\phi_{0}}\left(a;-;q,z\right)=\frac{\left(% az;q\right)_{\infty}}{\left(z;q\right)_{\infty}},}}

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DLMF:17.5.E2

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{\displaystyle{\displaystyle|z|<1}}

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Defining formula

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

C17.S2.SS1.p1.m2aadec

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basic hypergeometric (or $$q$$ -hypergeometric) function

Defining formula

{\displaystyle{\displaystyle{{}_{\NVar{r+1}}\phi_{\NVar{s}}}\left(\NVar{a_{0},% \dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}

C17.S4.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle q}}

C17.S1.XMD10.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C17.S1.XMD7.m1adec

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Sitelinks

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