In table of integrals, series and products 7ed. by Gradshtyn and Ryzhik,(adsbygoogle = window.adsbygoogle || []).push({});

in page 1028, there is an expression:

[tex]D_p(z)=\int_{-\infty}^{\infty}x^p e^{-2x^2+2i xz}dx,~~(Re~ p>-1; ~for~ x<0, ~arg x^p=p\pi i)[/tex]

what is the meaning of [tex]for~ x<0, ~arg x^p=p\pi i)[/tex]

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# Question about parabolic cylinder functions

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