Definition:normctsdualHahnStilde

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Definition:normctsHahnptilde >>

The LaTeX DLMF and DRMF macro \normctsdualHahnStilde represents the normalized continuous dual Hahn polynomial.

This macro is in the category of polynomials.

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

\normctsdualHahnStilde{n}@{x^2}{a}{b}{c}{d} produces ${\displaystyle{\displaystyle{\displaystyle{\tilde{S}}_{n}\!\left(x^{2};a,b,c\right){d}}}}$

\normctsdualHahnStilde{n}@@{x^2}{a}{b}{c}{d} produces ${\displaystyle{\displaystyle{\displaystyle{\tilde{S}}_{n}\!\left(x^{2}\right){d}}}}$

These are defined by ${\displaystyle{\displaystyle{\tilde{S}}_{n}\!\left(x^{2}\right):={\tilde{S}}_{n}\!\left(x^{2};a,b,c\right)=\frac{S_{n}\!\left(x^{2};a,b,c\right)}{{\left(a+b\right)_{n}}{\left(a+c\right)_{n}}}.}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle{\tilde{S}}_{n}}}}$ : normalized continuous dual Hahn polynomial ${\displaystyle{\displaystyle{\displaystyle{\tilde{S}}}}}$ : http://drmf.wmflabs.org/wiki/Definition:normctsdualHahnStilde
${\displaystyle{\displaystyle{\displaystyle S_{n}}}}$ : continuous dual Hahn polynomial : http://dlmf.nist.gov/18.25#T1.t1.r3
${\displaystyle{\displaystyle{\displaystyle(a)_{n}}}}$ : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii

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