DLMF:18.28.E17 (Q5992)

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Language	Label	Description	Also known as
English	DLMF:18.28.E17	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{1}{2\pi}\int_{0}^{\pi}H_{n}\left(\cos\theta% \,|\,q\right)H_{m}\left(\cos\theta\,|\,q\right){\left|\left(e^{2\mathrm{i}% \theta};q\right)_{\infty}\right|^{2}}\mathrm{d}\theta=\frac{\delta_{n,m}}{% \left(q^{n+1};q\right)_{\infty}}.}}

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DLMF:18.28.E17

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Defining formula

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

introduction.Sx4.p1.t1.r4.m5aedec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2acdec

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continuous $$q$$ -Hermite polynomial

Defining formula

{\displaystyle{\displaystyle H_{\NVar{n}}\left(\NVar{x}\,|\,\NVar{q}\right)}}

C18.S28.E16.m2aadec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2ahdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1addec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2ahdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2aidec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3addec

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Defining formula

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

C17.S2.SS1.p1.m2aldec

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Defining formula

{\displaystyle{\displaystyle q}}

C18.S1.XMD3.m1ndec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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