DLMF:10.15.E5 (Q3151): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:10.15.E5	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\left.\frac{\partial J_{\nu}\left(z\right)}{% \partial\nu}\right|_{\nu=0}=\frac{\pi}{2}Y_{0}\left(z\right),\quad\left.\frac{% \partial Y_{\nu}\left(z\right)}{\partial\nu}\right|_{\nu=0}=-\frac{\pi}{2}J_{0% }\left(z\right).}}

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DLMF:10.15.E5

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2addec

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Bessel function of the second kind

Defining formula

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

C10.S2.E3.m2acdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.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.m4addec

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partial differential of $$x$$

Defining formula

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

C1.S5.E3.m2addec

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Defining formula

{\displaystyle{\displaystyle z}}

C10.S1.XMD6.m1ddec

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Sitelinks

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