DLMF:17.3.E6 (Q5346)

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Language	Label	Description	Also known as
English	DLMF:17.3.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathrm{Cos}_{q}\left(x\right)=\frac{1}{2}(E_{q}% \left(ix\right)+E_{q}\left(-ix\right))=\sum_{n=0}^{\infty}\frac{(1-q)^{2n}q^{n% (2n-1)}(-1)^{n}x^{2n}}{\left(q;q\right)_{2n}}.}}

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DLMF:17.3.E6

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Symbols defined

$$q$$ -cosine function

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