DLMF:10.15.E4 (Q3150): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:10.15.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\left.\frac{\partial Y_{\nu}\left(z\right)}{% \partial\nu}\right|_{\nu=n}=-\frac{\pi}{2}J_{n}\left(z\right)+\frac{n!}{2(% \tfrac{1}{2}z)^{n}}\sum_{k=0}^{n-1}\frac{(\tfrac{1}{2}z)^{k}Y_{k}\left(z\right% )}{k!(n-k)},}}

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DLMF:10.15.E4

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2acdec

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Bessel function of the second kind

Defining formula

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

C10.S2.E3.m2abdec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2abdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5abdec

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Sitelinks

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