DLMF:28.28.E43 (Q8474)

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Language	Label	Description	Also known as
English	DLMF:28.28.E43	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\widehat{\beta}_{n,m}=\dfrac{1}{2\pi}\int_{0}^{2% \pi}\sin t\mathrm{se}_{n}\left(t,h^{2}\right)\mathrm{ce}_{m}\left(t,h^{2}% \right)\mathrm{d}t=(-1)^{p}\dfrac{2}{\mathrm{i}\pi}\dfrac{\mathrm{se}_{n}'% \left(0,h^{2}\right)\mathrm{ce}_{m}\left(0,h^{2}\right)}{h\mathrm{Dsc}_{1}% \left(n,m,0\right)}.}}

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DLMF:28.28.E43

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Symbols defined

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Defining formula

{\displaystyle{\displaystyle\mathrm{Dsc}_{\NVar{j}}\left(\NVar{n},\NVar{m},% \NVar{z}\right)}}

C28.S28.E40.m1acdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{ce}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}

C28.S2.SS6.p1.m7aidec

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Defining formula

{\displaystyle{\displaystyle\mathrm{se}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}

C28.S2.SS6.p1.m8ajdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aaidec

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Defining formula

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

C1.S4.SS4.m1aagdec

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Defining formula

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

C1.S9.E1.m2aacdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aafdec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2apdec

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Defining formula

{\displaystyle{\displaystyle m}}

C28.S1.XMD1.m1xdec

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Defining formula

{\displaystyle{\displaystyle h}}

C28.S1.XMD11.m1aldec

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Defining formula

{\displaystyle{\displaystyle n}}

C28.S1.XMD2.m1ndec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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