Definition:bigqJacobiIVparam

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The LaTeX DLMF and DRMF macro \bigqJacobiIVparam represents the Big ${\displaystyle{\displaystyle q}}$-Jacobi polynomial with four-parameters.

This macro is in the category of polynomials.

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

\bigqJacobiIVparam{n} produces ${\displaystyle{\displaystyle{\displaystyle P_{n}}}}$

\bigqJacobiIVparam{n}@{x}{a}{b}{c}{d}{q} produces ${\displaystyle{\displaystyle{\displaystyle P_{n}\!\left(x;a,b,c,d;q\right)}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle P_{n}\!\left(x;a,b,c,d;q\right):=\qHyperrphis{3}{2}@@{q^{-n},abq^{n+1},ac^{-1}qx}{aq,-ac^{-1}dq}{q}{q}}}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle P_{n}}}}$ : big ${\displaystyle{\displaystyle{\displaystyle q}}}$-Jacobi polynomial with four parameters : http://drmf.wmflabs.org/wiki/Definition:bigqJacobiIVparam
${\displaystyle{\displaystyle{\displaystyle{{}_{r}\phi_{s}}}}}$ : basic hypergeometric (or ${\displaystyle{\displaystyle{\displaystyle q}}}$-hypergeometric) function : http://dlmf.nist.gov/17.4#E1

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