DLMF:18.27.E14 (Q5965): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:18.27.E14	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{y=0}^{\infty}p_{n}(q^{y})p_{m}(q^{y})\frac{% \left(bq;q\right)_{y}(aq)^{y}}{\left(q;q\right)_{y}}=h_{n}\delta_{n,m},}}

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DLMF:18.27.E14

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{\displaystyle{\displaystyle 0<a<q^{-1},b<q^{-1}}}

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Defining formula

{\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}

introduction.Sx4.p1.t1.r4.m5abdec

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Defining formula

{\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}

C17.S2.SS1.p1.m2adec

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Defining formula

{\displaystyle{\displaystyle y}}

C18.S1.XMD1.m1adec

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Defining formula

{\displaystyle{\displaystyle q}}

C18.S1.XMD3.m1ldec

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Defining formula

{\displaystyle{\displaystyle m}}

C18.S1.XMD5.m1bdec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1idec

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