DLMF:10.27.E5 (Q3495)

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Language	Label	Description	Also known as
English	DLMF:10.27.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle K_{n}\left(z\right)=\frac{(-1)^{n-1}}{2}\*\left(% \left.\frac{\partial I_{\nu}\left(z\right)}{\partial\nu}\right|_{\nu=n}+\left.% \frac{\partial I_{\nu}\left(z\right)}{\partial\nu}\right|_{\nu=-n}\right),}}

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DLMF:10.27.E5

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{\displaystyle{\displaystyle n=0,\pm 1,\pm 2,\ldots}}

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modified Bessel function of the first kind

Defining formula

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

C10.S25.E2.m2acdec

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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.m2acdec

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

Defining formula

{\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}

C1.S5.E3.m4adec

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partial differential of $$x$$

Defining formula

{\displaystyle{\displaystyle\partial\NVar{x}}}

C1.S5.E3.m2adec

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Defining formula

{\displaystyle{\displaystyle n}}

C10.S1.XMD2.m1adec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1ddec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C10.S1.XMD7.m1cdec

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