DLMF:18.27.E3 (Q5954)

No description defined

Language	Label	Description	Also known as
English	DLMF:18.27.E3	No description defined

Statements

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle Q_{n}(x)=\qHahnpolyQ{n}@{x}{\alpha}{\beta}{N}{q}=\qgenhyperphi{3}{2}@@{q^{-n},\alpha\beta q^{n+1},x}{\alpha q,q^{-N}}{q}{q},}

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DLMF id

DLMF:18.27.E3

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Symbols defined

$$q$$ -Hahn polynomial

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constraint

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n=0,1,\dots,N}

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Symbols used

basic hypergeometric (or $$q$$ -hypergeometric) function

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qgenhyperphi{\NVar{r+1}}{\NVar{s}}@{\NVar{a_{0},\dots,a_{r}}}{\NVar{b_{1},\dots,b_{s}}}{\NVar{q}}{\NVar{z}}}

xml-id

C17.S4.E1.m2adec

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Q11728

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}

xml-id

C18.S1.XMD3.m1adec

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Q11726

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}