A096714 First (least negative) real zero of the Airy Ai function (negated).
2, 3, 3, 8, 1, 0, 7, 4, 1, 0, 4, 5, 9, 7, 6, 7, 0, 3, 8, 4, 8, 9, 1, 9, 7, 2, 5, 2, 4, 4, 6, 7, 3, 5, 4, 4, 0, 6, 3, 8, 5, 4, 0, 1, 4, 5, 6, 7, 2, 3, 8, 7, 8, 5, 2, 4, 8, 3, 8, 5, 4, 4, 3, 7, 2, 1, 3, 6, 6, 8, 0, 0, 2, 7, 0, 0, 2, 8, 3, 6, 4, 7, 7, 8, 2, 1, 6, 4, 0, 4, 1, 7, 3, 1, 3, 2, 9, 3, 2, 0, 2, 8
Offset: 1
Examples
-2.33810741045976703848919725244673544063854014567238...
Links
- Eric Weisstein's World of Mathematics, Airy Functions.
Crossrefs
Cf. A096715.
Programs
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Mathematica
RealDigits[AiryAiZero[1], 10, 100][[1]] (* Amiram Eldar, Jun 27 2021 *)
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PARI
Ain(x)=sqrt((-x)/9)*(besselj(1/3,2/3*(-x)^(3/2)) + besselj(-1/3,2/3*(-x)^(3/2))) \\ Airy function Ai(x) for x < 0 -solve(x=-2.5,-2.2,Ain(x)) \\ Thomas König, Jan 29 2017
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PARI
-solve(x=-2.4,-2.3, airy(x)[1]) \\ Charles R Greathouse IV, Apr 27 2019
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PARI
solve(s=1,2, t=2/3*s^3; (besselj(1/3, t) + besselj(-1/3, t))*s)^2 \\ Charles R Greathouse IV, Aug 09 2022