A115370 Decimal expansion of first zero of BesselJ(2,z).

5, 1, 3, 5, 6, 2, 2, 3, 0, 1, 8, 4, 0, 6, 8, 2, 5, 5, 6, 3, 0, 1, 4, 0, 1, 6, 9, 0, 1, 3, 7, 7, 6, 5, 4, 5, 6, 9, 7, 3, 7, 7, 2, 3, 4, 7, 5, 0, 0, 5, 5, 0, 9, 4, 3, 3, 5, 8, 2, 5, 7, 2, 5, 7, 4, 5, 9, 9, 8, 1, 9, 6, 6, 1, 0, 7, 9, 2, 8, 4, 8, 7, 9, 4, 2, 3, 6, 8, 1, 9, 7, 2, 8, 7, 4, 5, 0, 4, 6, 2, 8, 7, 8, 3, 2

Offset

1,1

Comments

Also the first root of the sinc(4,x) function, that is, the radial component of the 4D Fourier transform of 4-dimensional unit sphere. Also, the solution of 2J_1(x) = x*J_0(x). - Stanislav Sykora, Nov 14 2013

Links

Table of n, a(n) for n=1..105.

Stanislav Sykora, K-Space Images of n-Dimensional Spheres and Generalized Sinc Functions.

Eric Weisstein's World of Mathematics, Bessel Function Zeros.

Example

5.1356223018406825563...

Mathematica

RealDigits[BesselJZero[2, 1], 10, 100][[1]] (* Amiram Eldar, May 18 2021 *)

Prog

(PARI) solve(x=5, 6, besselj(2, x)) \\ Charles R Greathouse IV, Feb 19 2014
(PARI) besseljzero(2) \\ Charles R Greathouse IV, Aug 06 2022

Crossrefs

Cf. A115368, A115369, A115371, A115372, A115373.

Sequence in context: A057778 A071545 A197578 * A327968 A213815 A300428

Adjacent sequences: A115367 A115368 A115369 * A115371 A115372 A115373

Keyword

nonn,cons

Author

Eric W. Weisstein, Jan 21 2006

Status

approved