DLMF:28.28.E32 (Q8459): Difference between revisions

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Revision as of 15:28, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:28.28.E32	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\dfrac{\sinh\left(2z\right)}{\pi^{2}}\int_{0}^{2% \pi}\dfrac{\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+1}\mathrm{i}\gamma_% {\nu,m}\mathrm{D}_{1}\left(\nu,\nu+2m,z\right),}}

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DLMF:28.28.E32

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Defining formula

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

C28.S28.E24.m1ahdec

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Defining formula

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

C28.S12.SS2.p2.m2akdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aaadec

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Defining formula

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

C1.S4.SS4.m1aydec

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hyperbolic sine function

Defining formula

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

C4.S28.E1.m2ahdec

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Defining formula

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

C1.S9.E1.m2audec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aydec

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Defining formula

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

C4.S14.E1.m2ajdec

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