Sombrero function

**Gustavis** · October 2nd 2009, 03:34 AM

What class of functions can be defined "sombrero function" ?

Can I write the classic sombrero function $f(r,\theta) = \frac{sin(r)}{r} \quad for \quad r\neq0$
in rectangular expression ? $f(x,y) = \frac{sin(\sqrt{x^2+y^2})}{\sqrt{x^2+y^2}} \quad for \quad x^2+y^2\neq0$

Thanks

**HallsofIvy** · October 2nd 2009, 02:39 PM

Yes, that's perfectly correct.

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