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Chebyshev series approximations for the zeros of the Bessel functions. (English) Zbl 0525.65023

65H05Single nonlinear equations (numerical methods)
65D20Computation of special functions, construction of tables
33C10Bessel and Airy functions, cylinder functions, ${}_0F_1$
Full Text: DOI
[1] Abramowitz, M.; Steguni, I.: Handbook of mathematical functions with formulas. Graphs and mathematical tables. (1965)
[2] Chambers, L. G.: Math. comp.. 38, 589 (1982)
[3] Gentleman, W. M.: Comm. ACM. 15, 343-346 (1972)
[4] Hofsommer, D. J.: Math. tables aid comp.. 12, 58-60 (1958)
[5] Luke, Y. L.: Mathematical functions and their approximation. (1975) · Zbl 0318.33001
[6] Nemeth, G.: Tables of the expansion of the first ten zeros of Bessel’s function. Communications of the institute for nuclear studies, report 5-6336 (1972)
[7] Olver, F. W. J.: Zeros and associated values. Royal society mathematical tables, Bessel functions 7 (1960) · Zbl 0094.31603
[8] Piessens, R.: J. comput. Phys.. 42, 403-405 (1981)
[9] R. Piessens, ”A Series Expansion for the First Positive Zero of the Bessel Functions”. to be published. · Zbl 0536.33005
[10] Stroud, A.; Secrest, D.: Gaussian quadrature formulas. (1966) · Zbl 0156.17002
[11] Temme, N. M.: J. comput. Phys.. 32, 270-279 (1979)
[12] Tricomi, F. G.: Vorlesungen fiber orthogonalreihen. (1955) · Zbl 0065.29601
[13] Watson, G. N.: A treatise on the theory of Bessel functions. (1944) · Zbl 0063.08184