Definition:qCosKLS

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The LaTeX DLMF and DRMF macro \qCosKLS represents a -analogue of the function: Failed to parse (unknown function "\qCosKLS"): {\displaystyle \qCosKLS{q}} .

This macro is in the category of polynomials.

In math mode, this macro can be called in the following ways:

\qCosKLS{q} produces Failed to parse (unknown function "\qCosKLS"): {\displaystyle {\displaystyle \qCosKLS{q}}}
\qCosKLS{q}@{z} produces Failed to parse (unknown function "\qCosKLS"): {\displaystyle {\displaystyle \qCosKLS{q}@{z}}}
\qCosKLS{q}@@{z} produces Failed to parse (unknown function "\qCosKLS"): {\displaystyle {\displaystyle \qCosKLS{q}@@{z}}}

These are defined by Failed to parse (unknown function "\qCosKLS"): {\displaystyle {\displaystyle \qCosKLS{q}@{z}:=\frac{\qExpKLS{q}@{\iunit z}+\qExpKLS{q}@{-\iunit z}}{2} =\sum_{n=0}^{\infty}\frac{(-1)^nq^{\binomial{2n}{2}}z^{2n}}{\qPochhammer{q}{q}{2n}} }}

Symbols List

 : -analogue of the function used in KLS:  : http://drmf.wmflabs.org/wiki/Definition:qCosKLS
 : cosine function : http://dlmf.nist.gov/4.14#E2
 : -analogue of the function used in KLS:  : http://drmf.wmflabs.org/wiki/Definition:qExpKLS
 : imaginary unit : http://dlmf.nist.gov/1.9.i
 : sum : http://drmf.wmflabs.org/wiki/Definition:sum
 : binomial coefficient : http://dlmf.nist.gov/1.2#E1 http://dlmf.nist.gov/26.3#SS1.p1
 : -Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1