DLMF:32.2.E12 (Q9166): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:32.2.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}u}{{\mathrm{d}\zeta}^{2}}=-% \frac{\alpha\cosh u}{2(\sinh u)^{3}}-\frac{\beta\sinh u}{2(\cosh u)^{3}}-% \tfrac{1}{4}\gamma e^{\zeta}\sinh\left(2u\right)-\tfrac{1}{8}\delta e^{2\zeta}% \sinh\left(4u\right).}}

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DLMF:32.2.E12

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derivative of $$f$$ with respect to $$x$$

Defining formula

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

C1.S4.E4.m2ajdec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2adec

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hyperbolic cosine function

Defining formula

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

C4.S28.E2.m2adec

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hyperbolic sine function

Defining formula

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

C4.S28.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\alpha}}

C32.S2.XMD1.m1gdec

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Defining formula

{\displaystyle{\displaystyle\beta}}

C32.S2.XMD2.m1fdec

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Defining formula

{\displaystyle{\displaystyle\gamma}}

C32.S2.XMD3.m1edec

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Defining formula

{\displaystyle{\displaystyle\delta}}

C32.S2.XMD4.m1ddec

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