There is a function I met in complex analysis. $$f(\lambda) = \int \limits_{-\infty}^{\infty}\frac{e^{i\lambda x}}{\sqrt{1 + x^{2n}}}dx$$
What is the "name" of this function?
2
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complex-analysis
special-functions
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1Maple does something complicated in terms of the Meijer G function. – 2012-12-16
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0I 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