Definition:ctsHahn

From DRMF
Jump to navigation Jump to search

The LaTeX DLMF and DRMF macro \ctsHahn represents the Continuous Hahn polynomial.

This macro is in the category of polynomials.

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

\ctsHahn{n} produces Failed to parse (unknown function "\ctsHahn"): {\displaystyle {\displaystyle \ctsHahn{n}}}
\ctsHahn{n}@{x}{a}{b}{c}{d} produces Failed to parse (unknown function "\ctsHahn"): {\displaystyle {\displaystyle \ctsHahn{n}@{x}{a}{b}{c}{d}}}
\ctsHahn{n}@@{x}{a}{b}{c}{d} produces Failed to parse (unknown function "\ctsHahn"): {\displaystyle {\displaystyle \ctsHahn{n}@@{x}{a}{b}{c}{d}}}

These are defined by Failed to parse (unknown function "\ctsHahn"): {\displaystyle {\displaystyle \ctsHahn{n}@{x}{a}{b}{c}{d} {}:=i^n\frac{\pochhammer{a+c}{n}\pochhammer{a+d}{n}}{n!}\,\HyperpFq{3}{2}@@{-n,n+a+b+c+d-1,a+ix}{a+c,a+d}{1} }}

Symbols List

 : continuous Hahn polynomial : http://dlmf.nist.gov/18.19#P2.p1
 : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii
 : generalized hypergeometric function : http://dlmf.nist.gov/16.2#E1