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

Author

Eric W. Weisstein, Jan 21 2006

Keywords

• nonn
• cons

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

Examples

			5.1356223018406825563...
		

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, A115369, A115371, A115372, A115373.

Programs

Mathematica

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

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