Definition:qHyperrWs

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The LaTeX DLMF and DRMF macro \qHyperrWs represents the -hypergeometric series.

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

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

\qHyperrWs{r}{r+1} produces Failed to parse (unknown function "\qHyperrWs"): {\displaystyle {\displaystyle \qHyperrWs{r}{r+1}}}
\qHyperrWs{r}{r+1}@{a_1}{a_4,a_5,...,a_{r+1}}{q}{z} produces Failed to parse (unknown function "\qHyperrWs"): {\displaystyle {\displaystyle \qHyperrWs{r}{r+1}@{a_1}{a_4,a_5,...,a_{r+1}}{q}{z}}}
\qHyperrWs{r}{r+1}@@{a_1}{a_4,a_5,...,a_{r+1}}{q}{z} produces Failed to parse (unknown function "\qHyperrWs"): {\displaystyle {\displaystyle \qHyperrWs{r}{r+1}@@{a_1}{a_4,a_5,...,a_{r+1}}{q}{z}}}
\qHyperrWs{r}{r+1}@@@{a_1}{a_4,a_5,...,a_{r+1}}{q}{z} produces Failed to parse (unknown function "\qHyperrWs"): {\displaystyle {\displaystyle \qHyperrWs{r}{r+1}@@@{a_1}{a_4,a_5,...,a_{r+1}}{q}{z}}}

These are defined by Failed to parse (unknown function "\qHyperrWs"): {\displaystyle \qHyperrWs{r+1}r@ {a_1}{a_4,a_5,\ldots,a_{r+1}}qz:= \qHyperrphis{r+1}r@@{a_1,qa_1^\frac12,-qa_1^\frac12,a_4,\ldots,a_{r+1}} {a_1^\frac12,-a_1^\frac12,qa_1/a_4,\ldots,qa_1/a_{r+1}}qz. }

Bibliography

Equation (2.1.11) of GaR.

Symbols List

 : very-well-poised basic hypergeometric (or -hypergeometric) function : http://drmf.wmflabs.org/wiki/Definition:qHyperrWs
 : basic hypergeometric (or -hypergeometric) function : http://dlmf.nist.gov/17.4#E1