DLMF:10.15.E3 (Q3149): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:10.15.E3	No description defined

Statements

Defining formula

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

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DLMF:10.15.E3

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Bessel function of the first kind

Defining formula

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

C10.S2.E2.m2abdec

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Bessel function of the second kind

Defining formula

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

C10.S2.E3.m2aadec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5aadec

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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.m4abdec

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partial differential of $$x$$

Defining formula

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

C1.S5.E3.m2abdec

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Defining formula

{\displaystyle{\displaystyle n}}

C10.S1.XMD2.m1dec

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Defining formula

{\displaystyle{\displaystyle k}}

C10.S1.XMD3.m1adec

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