Definition:qinvAlSalamChihara

From DRMF
Jump to navigation Jump to search

The LaTeX DLMF and DRMF macro \qinvAlSalamChihara represents the -inverse of the Al-Salam Chihara polynomial.

This macro is in the category of polynomials.

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

\qinvAlSalamChihara{n} produces Failed to parse (unknown function "\qinvAlSalamChihara"): {\displaystyle {\displaystyle \qinvAlSalamChihara{n}}}
\qinvAlSalamChihara{n}@{x}{a}{b}{q^{-1}} produces Failed to parse (unknown function "\qinvAlSalamChihara"): {\displaystyle {\displaystyle \qinvAlSalamChihara{n}@{x}{a}{b}{q^{-1}}}}

These are defined by Failed to parse (unknown function "\qinvAlSalamChihara"): {\displaystyle {\displaystyle \qinvAlSalamChihara{n}@{\thalf(aq^{-x}+a^{-1}q^x)}{a}{b }{q^{-1}}:= (-1)^n b^n q^{-\half n(n-1)}\qPochhammer{(ab)^{-1}}{q}{n} \qHyperrphis{3}{1}@@{q^{-n},q^{-x},a^{-2}q^x}{(ab)^{-1}}{q}{q^nab^{-1}} }}

Symbols List

 : -inverse Al-Salam-Chihara polynomial : http://dlmf.nist.gov/23.1
 : -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