DLMF:10.19.E9 (Q3228)

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Language	Label	Description	Also known as
English	DLMF:10.19.E9	No description defined

Statements

{\displaystyle{\displaystyle\rselection{{H^{(1)}_{\nu}}\left(\nu+a\nu^{\frac{1% }{3}}\right)\\ {H^{(2)}_{\nu}}\left(\nu+a\nu^{\frac{1}{3}}\right)}\sim\frac{2^{\frac{4}{3}}}{% \nu^{\frac{1}{3}}}e^{\mp\pi i/3}\mathrm{Ai}\left(e^{\mp\pi i/3}2^{\frac{1}{3}}% a\right)\sum_{k=0}^{\infty}\frac{P_{k}\left(a\right)}{\nu^{2k/3}}+\frac{2^{% \frac{5}{3}}}{\nu}e^{\pm\pi i/3}\mathrm{Ai}'\left(e^{\mp\pi i/3}2^{\frac{1}{3}% }a\right)\sum_{k=0}^{\infty}\frac{Q_{k}\left(a\right)}{\nu^{2k/3}},}}

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DLMF:10.19.E9

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