DLMF:9.6.E2

Math Formula Information

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

Name: DLMF:9.6.E2

Description:

Data Source

https://lct.wmflabs.org/w/index.php?title=Special:EntityPage/Q2782