Definition:moniclittleqJacobi
The LaTeX DLMF and DRMF macro \moniclittleqJacobi represents the monic little q Jacobi polynomial.
This macro is in the category of polynomials.
In math mode, this macro can be called in the following ways:
- \moniclittleqJacobi{n} produces Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \moniclittleqJacobi{n}}}
- \moniclittleqJacobi{n}@{x}{a}{b}{q} produces Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \moniclittleqJacobi{n}@{x}{a}{b}{q}}}
- \moniclittleqJacobi{n}@@{x}{a}{b}{q} produces Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \moniclittleqJacobi{n}@@{x}{a}{b}{q}}}
These are defined by
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \littleqJacobi{n}@{x}{a}{b}{q}=:\frac{(-1)^nq^{-\binomial{n}{2}}\qPochhammer{abq^{n+1}}{q}{n}}{\qPochhammer{aq}{q}{n}}\moniclittleqJacobi{n}@@{x}{a}{b}{q}. }}
Symbols List
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle {\widehat p}_{n}}}
: monic little Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}}
-Jacobi polynomial : http://drmf.wmflabs.org/wiki/Definition:moniclittleqJacobi
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle p_{n}}}
: little Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}}
-Jacobi polynomial : http://drmf.wmflabs.org/wiki/Definition:littleqJacobi
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \binom{n}{k}}}
: binomial coefficient : http://dlmf.nist.gov/1.2#E1 http://dlmf.nist.gov/26.3#SS1.p1
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle (a;q)_n}}
: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}}
-Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1