DLMF:18.28.E14 (Q5989)

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Language	Label	Description	Also known as
English	DLMF:18.28.E14	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle C_{n}\left(\cos\theta;\beta\,|\,q\right)=\frac{% \left(\beta^{2};q\right)_{n}}{\left(q;q\right)_{n}\beta^{\frac{1}{2}n}}{{}_{4}% \phi_{3}}\left({q^{-n},\beta^{2}q^{n},\beta^{\frac{1}{2}}e^{\mathrm{i}\theta},% \beta^{\frac{1}{2}}e^{-\mathrm{i}\theta}\atop\beta q^{\frac{1}{2}},-\beta,-% \beta q^{\frac{1}{2}}};q,q\right).}}

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DLMF:18.28.E14

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2aedec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2aedec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2afdec

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Defining formula

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

C17.S2.SS1.p1.m2aidec

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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.m2addec

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Sitelinks

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