Definition:monicctsdualqHahn: Difference between revisions

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Latest revision as of 08:49, 22 December 2019

The LaTeX DLMF and DRMF macro \monicctsdualqHahn represents the monic continuous dual q 𝑞 {\displaystyle{\displaystyle q}} Hahn polynomial.

This macro is in the category of polynomials.

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

\monicctsdualqHahn{n} produces p ^ n continuous-dual-q-Hahn-polynomial-monic-p 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{p}}_{n}}}}
\monicctsdualqHahn{n}@{x^2}{a}{b}{c} produces p ^ n ( x 2 ; a , b , c | ) continuous-dual-q-Hahn-polynomial-monic-p 𝑛 superscript 𝑥 2 𝑎 𝑏 𝑐 absent {\displaystyle{\displaystyle{\displaystyle{\widehat{p}}_{n}\!\left(x^{2};a,b,c% |\right)}}}
\monicctsdualqHahn{n}@@{x^2}{a}{b}{c} produces p ^ n ( x 2 ) continuous-dual-q-Hahn-polynomial-monic-p 𝑛 superscript 𝑥 2 𝑎 𝑏 𝑐 absent continuous-dual-q-Hahn-polynomial-monic-p 𝑛 superscript 𝑥 2 {\displaystyle{\displaystyle{\displaystyle}{{\widehat{p}}_{n}\!\left(x^{2}% \right)}}}

These are defined by p n ( x ; a , b , c | q ) = : 2 n p ^ n ( x ; a , b , c | q ) fragments continuous-dual-q-Hahn-polynomial-p 𝑛 𝑥 𝑎 𝑏 𝑐 𝑞 : superscript 2 𝑛 continuous-dual-q-Hahn-polynomial-monic-p 𝑛 𝑥 𝑎 𝑏 𝑐 𝑞 {\displaystyle{\displaystyle{\displaystyle p_{n}\!\left(x;a,b,c|q\right)=:2^{n% }{\widehat{p}}_{n}\!\left(x;a,b,c|q\right)}}}

Symbols List

p ^ n subscript ^ 𝑝 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{p}}_{n}}}}  : monic continuous dual q 𝑞 {\displaystyle{\displaystyle{\displaystyle q}}} -Hahn polynomial : http://drmf.wmflabs.org/wiki/Definition:monicctsdualqHahn
p n subscript 𝑝 𝑛 {\displaystyle{\displaystyle{\displaystyle p_{n}}}}  : continuous dual q 𝑞 {\displaystyle{\displaystyle{\displaystyle q}}} -Hahn polynomial : http://drmf.wmflabs.org/wiki/Definition:ctsdualqHahn