DLMF:28.23.E13 (Q8397): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:28.23.E13	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{\mathrm{Ms}^{(j)}_{2m+2}}\left(z,h\right)=(-1)^{m% +1}\left(\mathrm{se}_{2m+2}'\left(\tfrac{1}{2}\pi,h^{2}\right)\right)^{-1}% \coth z\sum_{\ell=0}^{\infty}(2\ell+2)B_{2\ell+2}^{2m+2}(h^{2}){\cal C}_{2\ell% +2}^{(j)}(2h\sinh z).}}

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DLMF:28.23.E13

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Defining formula

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

C28.S2.SS6.p1.m8acdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aedec

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hyperbolic cotangent function

Defining formula

{\displaystyle{\displaystyle\coth\NVar{z}}}

C4.S28.E7.m2abdec

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hyperbolic sine function

Defining formula

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

C4.S28.E1.m2aedec

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radial Mathieu function

Defining formula

{\displaystyle{\displaystyle{\mathrm{Ms}^{(\NVar{j})}_{\NVar{n}}}\left(\NVar{z% },\NVar{h}\right)}}

C28.S20.E16.m2acdec

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Defining formula

{\displaystyle{\displaystyle m}}

C28.S1.XMD1.m1gdec

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Defining formula

{\displaystyle{\displaystyle h}}

C28.S1.XMD11.m1kdec

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Defining formula

{\displaystyle{\displaystyle j}}

C28.S1.XMD3.m1ldec

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Defining formula

{\displaystyle{\displaystyle z}}

C28.S1.XMD6.m1kdec

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Defining formula

{\displaystyle{\displaystyle\mathcal{C}_{\mu}^{(j)}}}

C28.S23.XMD1.m1ldec

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Sitelinks

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