A115369 Decimal expansion of first zero of BesselJ(1,z).

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

Offset

1,1

Comments

Also the first root of the sinc(2,x) function, that is, the radial component of the 2D Fourier transform of a 2-dimensional unit disc. - Stanislav Sykora, Nov 14 2013

Also the first root of the derivative of BesselJ_0. - Jean-François Alcover, Jul 01 2015

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

3.8317059702075123156...

Mathematica

BesselJZero[1, 1] // N[#, 105]& // RealDigits // First (* Jean-François Alcover, Feb 06 2013 *)

Prog

(PARI) solve(x=3, 4, besselj(1, x)) \\ Charles R Greathouse IV, Feb 19 2014
(PARI) besseljzero(1) \\ Charles R Greathouse IV, Aug 06 2022

Crossrefs

Cf. A115368, A115370, A115371, A115372, A115373.

Cf. A103365, A238390, A180874.

Sequence in context: A021727 A309648 A021265 * A084233 A198489 A334503

Adjacent sequences: A115366 A115367 A115368 * A115370 A115371 A115372

Keyword

nonn,cons

Author

Eric W. Weisstein, Jan 21 2006

Status

approved