DLMF:17.3.E6 (Q5346)

No description defined

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

Statements

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qCos{q}@{x}=\frac{1}{2}(\qExp{q}@{ix}+\qExp{q}@{-ix})=\sum_{n=0}^{\infty}\frac{(1-q)^{2n}q^{n(2n-1)}(-1)^{n}x^{2n}}{\qPochhammer{q}{q}{2n}}.}

0 references

DLMF id

DLMF:17.3.E6

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Symbols defined

$$q$$ -cosine function

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Symbols used

imaginary unit

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}

xml-id

C1.S9.E1.m2acdec

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$$q$$ -exponential function

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qExp{\NVar{q}}@{\NVar{x}}}

xml-id

C17.S3.E2.m2abdec

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Q11298

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qPochhammer{\NVar{a}}{\NVar{q}}{\NVar{n}}}

xml-id

C17.S2.SS1.p1.m2aedec

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Q11710

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}

xml-id

C17.S1.XMD10.m1edec

0 references

Q11711

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}