Definition:monicAlSalamChihara

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The LaTeX DLMF and DRMF macro \monicAlSalamChihara represents the monic Al-Salam Chihara q π‘ž {\displaystyle{\displaystyle q}} polynomial.

This macro is in the category of polynomials.

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

\monicAlSalamChihara{n} produces Q ^ n Al-Salam-Chihara-polynomial-monic-p 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{Q}}_{n}}}}
\monicAlSalamChihara{n}@{x}{a}{b}{q} produces Q ^ n ⁑ ( x ; a , b | q ) Al-Salam-Chihara-polynomial-monic-p 𝑛 π‘₯ π‘Ž 𝑏 π‘ž {\displaystyle{\displaystyle{\displaystyle{\widehat{Q}}_{n}\!\left(x;a,b\,|\,q% \right)}}}
\monicAlSalamChihara{n}@@{x}{a}{b}{q} produces Q ^ n ⁑ ( x ; a , b | q ) Al-Salam-Chihara-polynomial-monic-p 𝑛 π‘₯ π‘Ž 𝑏 π‘ž {\displaystyle{\displaystyle{\displaystyle{\widehat{Q}}_{n}\!\left(x;a,b\,|\,q% \right)}}}

These are defined by Q n ⁑ ( x ; a , b | q ) = : 2 n Q ^ n ⁑ ( x ; a , b | q ) . fragments Al-Salam-Chihara-polynomial-Q 𝑛 π‘₯ π‘Ž 𝑏 π‘ž : superscript 2 𝑛 Al-Salam-Chihara-polynomial-monic-p 𝑛 π‘₯ π‘Ž 𝑏 π‘ž . {\displaystyle{\displaystyle{\displaystyle Q_{n}\!\left(x;a,b\,|\,q\right)=:2^% {n}{\widehat{Q}}_{n}\!\left(x;a,b\,|\,q\right).}}}

Symbols List

Q ^ n subscript ^ 𝑄 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{Q}}_{n}}}}  : monic Al-Salam-Chihara polynomial : http://drmf.wmflabs.org/wiki/Definition:monicAlSalamChihara
Q n subscript 𝑄 𝑛 {\displaystyle{\displaystyle{\displaystyle Q_{n}}}}  : Al-Salam-Chihara polynomial : http://drmf.wmflabs.org/wiki/Definition:AlSalamChihara


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