I wonder:(adsbygoogle = window.adsbygoogle || []).push({});

Is it possible to find a function f(x) which satisfies this integral for *arbitrary* parameters a,b (but maybe of known domain)?

[tex]\int_{-\infty}^\infty e^{-x^2}f(ax+b)\mathrm{d}x=0[/tex]

I want [tex]f(\pm\infty)=0[/tex] and I can deduce

[tex]\int_{-\infty}^\infty x^n e^{-x^2}f^{(m)}(ax+b)\mathrm{d}x=0[/tex]

It would have to be oscillary I guess?!

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# Function to satisfy this integral for all parameters?

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