Definition:qMeixnerPollaczek

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The LaTeX DLMF and DRMF macro \qMeixnerPollaczek represents the -Meixner Pollaczek polynomial.

This macro is in the category of polynomials.

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

\qMeixnerPollaczek{n} produces Failed to parse (unknown function "\qMeixnerPollaczek"): {\displaystyle {\displaystyle \qMeixnerPollaczek{n}}}
\qMeixnerPollaczek{n}@{x}{a}{q} produces Failed to parse (unknown function "\qMeixnerPollaczek"): {\displaystyle {\displaystyle \qMeixnerPollaczek{n}@{x}{a}{q}}}

These are defined by Failed to parse (unknown function "\qMeixnerPollaczek"): {\displaystyle {\displaystyle \qMeixnerPollaczek{n}@{x}{a}{q}:=a^{-n}\expe^{-in\phi}\frac{\qPochhammer{a^2}{q}{n}}{\qPochhammer{q}{q}{n}}\, \qHyperrphis{3}{2}@@{q^{-n},a\expe^{i(\theta+2\phi)},a\expe^{-i\theta}}{a^2,0}{q}{q} }}

Symbols List

 : -Meixner-Pollaczek polynomial : http://drmf.wmflabs.org/wiki/Definition:qMeixnerPollaczek
 : the base of the natural logarithm : http://dlmf.nist.gov/4.2.E11
 : -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