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A172284
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First positive zeros of Bessel function of order n rounded to nearest integer
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0
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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
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OFFSET
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1,1
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REFERENCES
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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.
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LINKS
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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].
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EXAMPLE
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BesselJzeros(0,1) = 2,40482555, a(0) = 2 BesselJzeros(1,1) = 3,83170597, a(1) = 4 BesselJzeros(2,1) =5,135622302, a(2) = 5
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MAPLE
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for n from 0 to 10000 do; x1:= evalf(BesselJZeros(n, 1)); evalf(%); od;
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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