DLMF:28.28.E27 (Q8454)

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Language	Label	Description	Also known as
English	DLMF:28.28.E27	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\alpha^{(0)}_{\nu,m}=\dfrac{1}{2\pi}\int_{0}^{2\pi% }\cos t\mathrm{me}_{\nu}\left(t,h^{2}\right)\mathrm{me}_{-\nu-2m-1}\left(t,h^{% 2}\right)\mathrm{d}t=(-1)^{m}\dfrac{2\mathrm{i}}{\pi}\dfrac{\mathrm{me}_{\nu}% \left(0,h^{2}\right)\mathrm{me}_{-\nu-2m-1}\left(0,h^{2}\right)}{h\mathrm{D}_{% 0}\left(\nu,\nu+2m+1,0\right)},}}

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DLMF:28.28.E27

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Symbols defined

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Defining formula

{\displaystyle{\displaystyle\mathrm{D}_{\NVar{j}}\left(\NVar{\nu},\NVar{\mu},% \NVar{z}\right)}}

C28.S28.E24.m1acdec

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Defining formula

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

C28.S12.SS2.p2.m2afdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2avdec

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cosine function

Defining formula

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

C4.S14.E2.m2agdec

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Defining formula

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

C1.S4.SS4.m1atdec

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Defining formula

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

C1.S9.E1.m2apdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3atdec

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Defining formula

{\displaystyle{\displaystyle m}}

C28.S1.XMD1.m1hdec

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Defining formula

{\displaystyle{\displaystyle h}}

C28.S1.XMD11.m1vdec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C28.S1.XMD7.m1idec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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