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}@{iz)+{\mathrm e}_q(-iz}}{2}= \sum_{n=0}^{\infty}\frac{(-1)^nz^{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
 : sum : http://drmf.wmflabs.org/wiki/Definition:sum
 : -Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1