DLMF:18.27.E13 (Q5964)

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Language	Label	Description	Also known as
English	DLMF:18.27.E13	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle p_{n}(x)=p_{n}\left(x;a,b;q\right)={{}_{2}\phi_{1% }}\left({q^{-n},abq^{n+1}\atop aq};q,qx\right).}}

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DLMF:18.27.E13

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Symbols defined

little $$q$$ -Jacobi polynomial

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

Defining formula

{\displaystyle{\displaystyle{{}_{\NVar{r+1}}\phi_{\NVar{s}}}\left(\NVar{a_{0},% \dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}

C17.S4.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle q}}

C18.S1.XMD3.m1kdec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1hdec

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Defining formula

{\displaystyle{\displaystyle p_{n}(x)}}

C18.S1.XMD9.m1ddec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1idec

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Sitelinks

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