ZHANG Jing, ZHOU Zhe-wei. Chebyshev Approximation of the Second Kind of Modified Bessel Function of Order Zero[J]. Applied Mathematics and Mechanics, 2004, 25(5): 441-445.
Citation: ZHANG Jing, ZHOU Zhe-wei. Chebyshev Approximation of the Second Kind of Modified Bessel Function of Order Zero[J]. Applied Mathematics and Mechanics, 2004, 25(5): 441-445.

Chebyshev Approximation of the Second Kind of Modified Bessel Function of Order Zero

  • Received Date: 2002-12-17
  • Rev Recd Date: 2004-01-20
  • Publish Date: 2004-05-15
  • The second kind of modified Bessel function of order zero is the solutions of many problems in engineering. Modified Bessel equation is transformed by exponential transformation and expanded by J. P. Boyd's rational Chebyshev basis.
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  • [1]
    Amos D E.Computation of modified Bessel functions and their ratios[J].Math Comp,1974,28(24):239—251. doi: 10.1090/S0025-5718-1974-0333287-7
    [2]
    Campbell J B.Bessel functions In(z) and Kn(z) of real order and complex argument[J].Comput Phys Comm,1981,24(1):97—105. doi: 10.1016/0010-4655(81)90109-0
    [3]
    Gautschi W,Slavik J.On the computation of modified Bessel function ratios[J].Math Comp,1978,32(143):865—875. doi: 10.1090/S0025-5718-1978-0470267-9
    [4]
    Kerimov M K,Skorokhodov S L.Calculation of modified Bessel functions in the complex domain[J].U S S R Comput Math and Math Phys,1984,24(3):15—24. doi: 10.1016/0041-5553(84)90038-7
    [5]
    Segura J ,de Cordoba Fernandez P, Ratis Yu L.A code to evaluate modified Bessel functions based on the continued fraction method[J].Comput Phys Comm,1997,105(2/3):263—272. doi: 10.1016/S0010-4655(97)00069-6
    [6]
    Thompson I J,Barnett A R.Modified Bessel functions In(z) and Kn(z) of real order and complex argument,to selected accuracy[J].Comput Phys Comm,1987,47(4):245—257. doi: 10.1016/0010-4655(87)90111-1
    [7]
    Yoshida T,Ninomiya I.Computation of Bessel functions Kn(z) with complex argument by tau method[J].J Inform Process,1974,14(1):32—37.
    [8]
    Luke Y L.The Special Functions and Their Approximations[M].New York:Academic Press,1969.
    [9]
    Boyd J P.Orthogonal rational function on a semi-infinite[J].Journal of Computational Physics,1987,70:63—88. doi: 10.1016/0021-9991(87)90002-7
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