DLMF:28.28.E48 (Q8479): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:28.28.E48	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\dfrac{\cosh z}{\pi^{2}}\int_{0}^{2\pi}\dfrac{\sin t% \mathrm{ce}_{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+1}\mathrm{i}h\widehat{\alpha}_{n,m% }^{(c)}\mathrm{Dc}_{1}\left(n,m,z\right),}}

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DLMF:28.28.E48

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Defining formula

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

C28.S28.E39.m1abdec

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Defining formula

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

C28.S2.SS6.p1.m7andec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aandec

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Defining formula

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

C1.S4.SS4.m1aaldec

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hyperbolic cosine function

Defining formula

{\displaystyle{\displaystyle\cosh\NVar{z}}}

C4.S28.E2.m2andec

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hyperbolic sine function

Defining formula

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

C4.S28.E1.m2apdec

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