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A172284
First positive zeros of Bessel function of order n rounded to nearest integer
0
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
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
KEYWORD
nonn
AUTHOR
Michel Lagneau, Jan 30 2010
STATUS
approved