Definition:JacksonqBesselII

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The LaTeX DLMF and DRMF macro \JacksonqBesselII represents the Jackson -Bessel function 2.

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

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

\JacksonqBesselII{\nu} produces Failed to parse (Conversion error. Server ("cli") reported: "SyntaxError: Illegal TeX function Found \JacksonqBesselIIin 1:31"): {\displaystyle {\displaystyle \JacksonqBesselII{\nu}}}
\JacksonqBesselII{\nu}@{z}{q} produces Failed to parse (Conversion error. Server ("cli") reported: "SyntaxError: Illegal TeX function Found \JacksonqBesselIIin 1:31"): {\displaystyle {\displaystyle \JacksonqBesselII{\nu}@{z}{q}}}

These are defined by

Failed to parse (Conversion error. Server ("cli") reported: "SyntaxError: Illegal TeX function Found \JacksonqBesselIIin 2:1"): {\displaystyle {\displaystyle \JacksonqBesselII{\nu}@{z}{q}:=\frac{\qPochhammer{q^{\nu+1}}{q}{\infty}}{\qPochhammer{q}{q}{\infty}} \left(\frac{z}{2}\right)^{\nu}\,\qHyperrphis{0}{1}@@{-}{q^{\nu+1}}{q}{-\frac{q^{\nu+1}z^2}{4}}. }}

Symbols List

 : Jackson -Bessel function 2 : http://drmf.wmflabs.org/wiki/Definition:JacksonqBesselII
 : -Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1
 : basic hypergeometric (or -hypergeometric) function : http://dlmf.nist.gov/17.4#E1