Definition:qExpKLS

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

This macro is in the category of real or complex valued functions.

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

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

These are defined by Failed to parse (unknown function "\qExpKLS"): {\displaystyle {\displaystyle \qExpKLS{q}@{z}:=\qHyperrphis{0}{0}@@{-}{-}{q}{-z}:= \sum_{n=0}^{\infty}\frac{q^{\binom{n}{2}}}{\qPochhammer{q}{q}{n}}z^n=\qPochhammer{-z}{q}{\infty},\quad 0<|q|<1. }}

Symbols List

 : -analogue of the function used in KLS:  : http://drmf.wmflabs.org/wiki/Definition:qExpKLS
 : exponential function : http://dlmf.nist.gov/4.2#E19
 : basic hypergeometric (or -hypergeometric) function : http://dlmf.nist.gov/17.4#E1
 : 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