I need to simplify the confulent hypergeometric function:
$U(x>1,1/2,y>0)$. I don't know if someone knows a simpler form ?
I need to simplify the confulent hypergeometric function:
$U(x>1,1/2,y>0)$. I don't know if someone knows a simpler form ?
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There is no simpler form, the result can only be expressed in terms of parabolic cylinder functions: $$U\left(x,1/2,y\right)=2^x e^{y/2}D_{-2x}\left(\sqrt{2y}\right).$$