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There is a function I met in complex analysis. $f(\lambda) = \int \limits_{-\infty}^{\infty}\frac{e^{i\lambda x}}{\sqrt{1 + x^{2n}}}dx$

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    I read about McDonalds function, $ f(\lambda ) = \int \limits_{-\infty}^{\infty} \frac{e^{i \lambda x}dx}{\sqrt{1 + x^2}}. $ It's one of the Bessel's function. Has the function from my question the name as the, maybe, Bessel's function?2012-12-16

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It's called the Fourier Transform of $\frac1{\sqrt{1+x^{2n}}}$.

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    @Maxim_Ovchinnikov sorry I don' t know, but if I'll ever find something I'll let you know...2012-12-19