DLMF:10.21.E18 (Q3302)

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Language	Label	Description	Also known as
English	DLMF:10.21.E18	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{\mathrm{d}c^{\prime}}{\mathrm{d}\nu}=\frac{2% c^{\prime}}{{c^{\prime}}^{2}-\nu^{2}}\*\int_{0}^{\infty}({c^{\prime}}^{2}\cosh% \left(2t\right)-\nu^{2})\*K_{0}\left(2c^{\prime}\sinh t\right)e^{-2\nu t}% \mathrm{d}t,}}

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DLMF:10.21.E18

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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.m2acdec

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Defining formula

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

C1.S4.SS4.m1aadec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2aadec

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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.m2aadec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aadec

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modified Bessel function of the second kind

Defining formula

{\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S25.E3.m2aadec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1pdec

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Defining formula

{\displaystyle{\displaystyle c}}

C10.S21.XMD3.m1adec

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Sitelinks

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