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

Author

Eric W. Weisstein, Jan 21 2006

Keywords

• nonn
• cons

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

Examples

			3.8317059702075123156...
		

Links

• Stanislav Sykora, K-Space Images of n-Dimensional Spheres and Generalized Sinc Functions
• Eric Weisstein's World of Mathematics, Bessel Function Zeros
• Index entries for transcendental numbers

Crossrefs

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

Cf. A103365, A103366, A238390, A180874.

Programs

Mathematica

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

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