Definition:monicctsdualHahn

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The LaTeX DLMF and DRMF macro \monicctsdualHahn represents the monic continuous dual Hahn polynomial.

This macro is in the category of polynomials.

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

\monicctsdualHahn{n} produces S ^ n continuous-dual-Hahn-monic-p 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{S}}_{n}}}}
\monicctsdualHahn{n}@{x^2}{a}{b}{c}{d} produces S ^ n ⁑ ( x 2 ; a , b , c ) ⁒ d continuous-dual-Hahn-monic-p 𝑛 superscript π‘₯ 2 π‘Ž 𝑏 𝑐 𝑑 {\displaystyle{\displaystyle{\displaystyle{\widehat{S}}_{n}\!\left(x^{2};a,b,c% \right){d}}}}
\monicctsdualHahn{n}@@{x^2}{a}{b}{c}{d} produces S ^ n ⁑ ( x 2 ) ⁒ d continuous-dual-Hahn-monic-p 𝑛 superscript π‘₯ 2 π‘Ž 𝑏 𝑐 𝑑 {\displaystyle{\displaystyle{\displaystyle{\widehat{S}}_{n}\!\left(x^{2}\right% ){d}}}}

These are defined by S n ⁑ ( x 2 ; a , b , c ) = : ( - 1 ) n S ^ n ⁑ ( x 2 ; a , b , c ) fragments continuous-dual-Hahn-normalized-S 𝑛 superscript π‘₯ 2 π‘Ž 𝑏 𝑐 : superscript fragments ( 1 ) 𝑛 continuous-dual-Hahn-monic-p 𝑛 superscript π‘₯ 2 π‘Ž 𝑏 𝑐 {\displaystyle{\displaystyle{\displaystyle S_{n}\!\left(x^{2};a,b,c\right)=:(-% 1)^{n}{\widehat{S}}_{n}\!\left(x^{2};a,b,c\right)}}}

Symbols List

S ^ n subscript ^ 𝑆 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{S}}_{n}}}}  : monic continuous dual Hahn polynomial : http://drmf.wmflabs.org/wiki/Definition:monicctsdualHahn
S n subscript 𝑆 𝑛 {\displaystyle{\displaystyle{\displaystyle S_{n}}}}  : continuous dual Hahn polynomial : http://dlmf.nist.gov/18.25#T1.t1.r3