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• W2330700330 abstract "Abstract We show how one can obtain an asymptotic expression for some special functions with a very explicit error term starting from appropriate upper bounds. We will work out the details for the Bessel function $J_nu (x)$ and the Airy function ${rm Ai}(x).$ In particular, we answer a question raised by Olenko and find a sharp bound on the difference between $J_nu (x)$ and its standard asymptotics. We also give a very simple and surprisingly precise approximation for the zeros ${rm Ai}(x).$" @default.
• W2330700330 created "2016-06-24" @default.
• W2330700330 creator A5044693535 @default.
• W2330700330 date "2014-01-01" @default.
• W2330700330 modified "2023-09-24" @default.
• W2330700330 title "Approximations for the Bessel and Airy functions with an explicit error term" @default.
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• W2330700330 doi "https://doi.org/10.1112/s1461157013000351" @default.
• W2330700330 hasPublicationYear "2014" @default.
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