DLMF:10.73.E4 (Q3915)

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Language	Label	Description	Also known as
English	DLMF:10.73.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle(\nabla^{2}+k^{2})f=\frac{1}{\rho^{2}}\frac{% \partial}{\partial\rho}\left(\rho^{2}\frac{\partial f}{\partial\rho}\right)+% \frac{1}{\rho^{2}\sin\theta}\frac{\partial}{\partial\theta}\left(\sin\theta% \frac{\partial f}{\partial\theta}\right)+\frac{1}{\rho^{2}{\sin^{2}}\theta}% \frac{{\partial}^{2}f}{{\partial\phi}^{2}}+k^{2}f.}}

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DLMF:10.73.E4

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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.m4acdec

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partial differential of $$x$$

Defining formula

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

C1.S5.E3.m2acdec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle k}}

C10.S1.XMD3.m1dec

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