DLMF:9.6.E3

Math Formula Information

Formula: Failed to parse (unknown function "\AiryAi"): {\displaystyle \AiryAi'@{z}=-\pi^{-1}(z/\sqrt{3})\modBesselK{\pm 2/3}@{\zeta}=(z/3)\left(\modBesselI{2/3}@{\zeta}-\modBesselI{-2/3}@{\zeta}\right)=\tfrac{1}{2}(z/\sqrt{3})e^{-\pi i/6}\HankelH{1}{2/3}@{\zeta e^{\pi i/2}}=\tfrac{1}{2}(z/\sqrt{3})e^{-5\pi i/6}\HankelH{1}{-2/3}@{\zeta e^{\pi i/2}}=\tfrac{1}{2}(z/\sqrt{3})e^{\pi i/6}\HankelH{2}{2/3}@{\zeta e^{-\pi i/2}}=\tfrac{1}{2}(z/\sqrt{3})e^{5\pi i/6}\HankelH{2}{-2/3}@{\zeta e^{-\pi i/2}},}

Name: DLMF:9.6.E3

Description:

Data Source

https://lct.wmflabs.org/w/index.php?title=Special:EntityPage/Q2783