Formula:272

Digital Library of Mathematical Functions ID 1.9.E27

${\displaystyle{\displaystyle\frac{{\partial}^{2}u}{{\partial r}^{2}}+\frac{1}{r}\frac{\partial u}{\partial r}+\frac{1}{r^{2}}\frac{{\partial}^{2}u}{{\partial\theta}^{2}}=0}}$

Symbols List

• ${\displaystyle{\displaystyle\frac{\partial\NVar{f}}{\partial\NVar{x}}}}$: partial derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle\partial\NVar{x}}}$: partial differential of $$x$$
• ${\displaystyle{\displaystyle r}}$: radius
• ${\displaystyle{\displaystyle\theta}}$: angle
• ${\displaystyle{\displaystyle u(x,y)}}$: function
 

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