Formula:3925

Digital Library of Mathematical Functions ID 10.19#Ex10

${\displaystyle{\displaystyle Y_{\nu}\left(\nu+a\nu^{\frac{1}{3}}\right)\sim-\frac{2^{\frac{1}{3}}}{\nu^{\frac{1}{3}}}\mathrm{Bi}\left(-2^{\frac{1}{3}}a\right)\sum_{k=0}^{\infty}\frac{P_{k}\left(a\right)}{\nu^{2k/3}}-\frac{2^{\frac{2}{3}}}{\nu}\mathrm{Bi}'\left(-2^{\frac{1}{3}}a\right)\sum_{k=0}^{\infty}\frac{Q_{k}\left(a\right)}{\nu^{2k/3}},}}$

Constraint(s)

${\displaystyle{\displaystyle|\operatorname{ph}\nu|\leq\tfrac{1}{2}\pi-\delta}}$

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