DLMF:28.28.E31 (Q8458): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:28.28.E31	No description defined

Statements

Defining formula

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

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DLMF:28.28.E31

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Defining formula

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

C28.S28.E24.m1agdec

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Defining formula

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

C28.S12.SS2.p2.m2ajdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2azdec

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cosine function

Defining formula

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

C4.S14.E2.m2aidec

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Defining formula

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

C1.S4.SS4.m1axdec

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hyperbolic sine function

Defining formula

{\displaystyle{\displaystyle\sinh\NVar{z}}}

C4.S28.E1.m2agdec

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Defining formula

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

C1.S9.E1.m2atdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3axdec

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Defining formula

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

C4.S14.E1.m2aidec

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Defining formula

{\displaystyle{\displaystyle m}}

C28.S1.XMD1.m1ldec

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Defining formula

{\displaystyle{\displaystyle h}}

C28.S1.XMD11.m1zdec

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Defining formula

{\displaystyle{\displaystyle z}}

C28.S1.XMD6.m1ydec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C28.S1.XMD7.m1mdec

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Defining formula

{\displaystyle{\displaystyle\gamma_{\nu,m}}}

C28.S28.XMD8.m1dec

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Sitelinks

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