Multi-point quasi-rational approximants for the modified Bessel function I1(x)

被引:1
|
作者
Martin, P. [1 ]
Olivares, J. [2 ]
Cortes-Vega, L. [2 ]
Sotomayor, A. [2 ]
机构
[1] Antofagasta Univ, Phys Dept, Antofagasta, Chile
[2] Antofagasta Univ, Dept Math, Antofagasta, Chile
关键词
FRACTIONAL APPROXIMATIONS;
D O I
10.1088/1742-6596/738/1/012066
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Approximants for the modified Bessel function I-1(x) has been found using the multi-point quasi-rational technique. The approximations here determined has good accuracy for any positive value of the variable, and it seems to be adequate for most of the works where this function are used. Furthermore, the approximants are simple to calculate numerically in a direct way or using any usual MAPLE or MATLAB software.
引用
收藏
页数:3
相关论文
共 13 条
  • [1] Quasi-Rational Analytic Approximation for the Modified Bessel Function I1(x) with High Accuracy
    Martin, Pablo
    Rojas, Eduardo
    Olivares, Jorge
    Sotomayor, Adrian
    SYMMETRY-BASEL, 2021, 13 (05):
  • [2] Multi-point quasi-rational approximants for the energy eigenvalues of two-power potentials
    Martin, P.
    Castro, E.
    Paz, J. L.
    REVISTA MEXICANA DE FISICA, 2012, 58 (04) : 301 - 307
  • [3] Precise analytic approximation for the modified Bessel function I1 (x)
    Martin, P.
    Olivares, J.
    Sotomayor, A.
    REVISTA MEXICANA DE FISICA, 2017, 63 (02) : 130 - 133
  • [4] RATIONAL CHEBYSHEV APPROXIMATIONS FOR MODIFIED BESSEL FUNCTIONS I0(X) AND I1(X)
    BLAIR, JM
    MATHEMATICS OF COMPUTATION, 1974, 28 (126) : 581 - 583
  • [5] High accuracy approximation for the modified Bessel function of fractional order I1/3(x)
    Martin, P.
    Olivares, J.
    Maass, F.
    Valero, E.
    XX CHILEAN PHYSICS SYMPOSIUM, 2018, 1043
  • [6] A CONTINUED-FRACTION APPROXIMATION OF THE MODIFIED BESSEL-FUNCTION I1(T)
    PARTHASARATHY, PR
    BALAKRISHNAN, N
    APPLIED MATHEMATICS LETTERS, 1991, 4 (01) : 25 - 27
  • [7] Guided-wave modes in graded-index optical fibers by two-point quasi-rational approximants
    Castro, E
    Martín, P
    Puerta, J
    Cereceda, C
    REVISTA MEXICANA DE FISICA, 2006, 52 (02) : 120 - 128
  • [8] EVALUATION AND INVERSION OF THE RATIOS OF MODIFIED BESSEL-FUNCTIONS, I1(X)-I0(X) AND I1.5(X)-I0.5(X)
    HILL, GW
    ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1981, 7 (02): : 199 - 208
  • [9] Analytic approximation for the modified Bessel function I-2/3(x)
    Martin, Pablo
    Olivares, Jorge
    Maass, Fernando
    6TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELLING IN PHYSICAL SCIENCES (IC-MSQUARE 2017), 2017, 936
  • [10] ON THE PAPER A CONTINUED-FRACTION APPROXIMATION OF THE MODIFIED BESSEL-FUNCTION I1(T) BY PARTHASARATHY,P.R. AND BALAKRISHNAN,N.
    GAUTSCHI, W
    APPLIED MATHEMATICS LETTERS, 1991, 4 (05) : 47 - 51