DLMF:10.38.E2 (Q3561): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:10.38.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{\partial K_{\nu}\left(z\right)}{\partial\nu}% =\tfrac{1}{2}\pi\csc\left(\nu\pi\right)\*\left(\frac{\partial I_{-\nu}\left(z% \right)}{\partial\nu}-\frac{\partial I_{\nu}\left(z\right)}{\partial\nu}\right% )-\pi\cot\left(\nu\pi\right)K_{\nu}\left(z\right),}}

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DLMF:10.38.E2

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{\displaystyle{\displaystyle\nu\notin\mathbb{Z}}}

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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cosecant function

Defining formula

{\displaystyle{\displaystyle\csc\NVar{z}}}

C4.S14.E5.m2adec

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cotangent function

Defining formula

{\displaystyle{\displaystyle\cot\NVar{z}}}

C4.S14.E7.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathbb{Z}}}

introduction.Sx4.p2.t1.r20.m2adec

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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.m2aadec

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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.m2adec

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Sitelinks

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