A172284 First positive zeros of Bessel function of order n rounded to nearest integer

2, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78

Offset

1,1

References

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 409.

British Association Mathematical Tables, Vol. 6, Bessel Functions, Part 1, Functions of Order Zero and Unity. Cambridge Univ. Press, 1937, p. 171.

Links

Table of n, a(n) for n=1..71.

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

Example

BesselJzeros(0,1) = 2,40482555, a(0) = 2 BesselJzeros(1,1) = 3,83170597, a(1) = 4 BesselJzeros(2,1) =5,135622302, a(2) = 5

Maple

for n from 0 to 10000 do; x1:= evalf(BesselJZeros(n, 1)); evalf(%); od;

Crossrefs

Cf. A000134.

Sequence in context: A175431 A059921 A062289 * A039242 A039185 A080240

Adjacent sequences: A172281 A172282 A172283 * A172285 A172286 A172287

Keyword

nonn

Author

Michel Lagneau, Jan 30 2010

Status

approved