Definition:ctsdualqHahn

From DRMF
Revision as of 22:33, 5 March 2017 by imported>SeedBot (DRMF)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

The LaTeX DLMF and DRMF macro \ctsdualqHahn represents the continuous dual -Hahn polynomial.

This macro is in the category of polynomials.

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

\ctsdualqHahn{n} produces Failed to parse (Conversion error. Server ("cli") reported: "SyntaxError: Illegal TeX function Found \ctsdualqHahnin 1:31"): {\displaystyle {\displaystyle \ctsdualqHahn{n}}}
\ctsdualqHahn{n}@{x}{a}{b}{c}{q} produces Failed to parse (Conversion error. Server ("cli") reported: "SyntaxError: Illegal TeX function Found \ctsdualqHahnin 1:31"): {\displaystyle {\displaystyle \ctsdualqHahn{n}@{x}{a}{b}{c}{q}}}

These are defined by Failed to parse (Conversion error. Server ("cli") reported: "SyntaxError: Illegal TeX function Found \ctsdualqHahnin 2:10"): {\displaystyle \frac{a^n\ctsdualqHahn{n}@{x}{a}{b}{c}{q}}{\qPochhammer{ab,ac}{q}{n}} :=\qHyperrphis{3}{2}@@{q^{-n},a\expe^{i\theta},a\expe^{-i\theta}}{ab,ac}{q}{q}. }}

Symbols List

 : continuous dual -Hahn polynomial : http://drmf.wmflabs.org/wiki/Definition:ctsdualqHahn
 : -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
 : the base of the natural logarithm : http://dlmf.nist.gov/4.2.E11