DLMF:28.28.E42 (Q8473): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:28.28.E42	No description defined

Statements

Defining formula

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

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DLMF:28.28.E42

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Defining formula

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

C28.S28.E40.m1abdec

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Defining formula

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

C28.S2.SS6.p1.m7ahdec

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Defining formula

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

C28.S2.SS6.p1.m8aidec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aahdec

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cosine function

Defining formula

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

C4.S14.E2.m2aldec

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Defining formula

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

C1.S4.SS4.m1aafdec

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hyperbolic sine function

Defining formula

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

C4.S28.E1.m2aldec

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Defining formula

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

C1.S9.E1.m2aabdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aaedec

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Defining formula

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

C4.S14.E1.m2aodec

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Defining formula

{\displaystyle{\displaystyle m}}

C28.S1.XMD1.m1wdec

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Defining formula

{\displaystyle{\displaystyle h}}

C28.S1.XMD11.m1akdec

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Defining formula

{\displaystyle{\displaystyle n}}

C28.S1.XMD2.m1mdec

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Defining formula

{\displaystyle{\displaystyle z}}

C28.S1.XMD6.m1agdec

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Defining formula

{\displaystyle{\displaystyle\widehat{\beta}_{n,m}}}

C28.S28.XMD9.m1adec

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Sitelinks

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