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山梨学院大学机械制造学位证【仿证微CXFK69】159

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1: 4.32 Inequalities
For these and other inequalities involving hyperbolic functions see Mitrinović (1964, pp. 61, 76, 159) and Mitrinović (1970, p. 270).
2: 14.12 Integral Representations
For further integral representations see Erdélyi et al. (1953a, pp. 158–159) and Magnus et al. (1966, pp. 184–190), and for contour integrals and other representations see §14.25.
3: Bibliography T
  • I. J. Thompson and A. R. Barnett (1987) Modified Bessel functions I ν ( z ) and K ν ( z ) of real order and complex argument, to selected accuracy. Comput. Phys. Comm. 47 (2-3), pp. 245–257.
  • I. J. Thompson (2004) Erratum to “COULCC: A continued-fraction algorithm for Coulomb functions of complex order with complex arguments”. Comput. Phys. Comm. 159 (3), pp. 241–242.
  • C. A. Tracy and H. Widom (1994) Level-spacing distributions and the Airy kernel. Comm. Math. Phys. 159 (1), pp. 151–174.
  • 4: 4.5 Inequalities
    For more inequalities involving the logarithm function see Mitrinović (1964, pp. 75–77), Mitrinović (1970, pp. 272–276), and Bullen (1998, pp. 159–160). …
    5: 20.10 Integrals
    For further results see Oberhettinger (1974, pp. 157–159). …
    6: Bibliography N
  • C. J. Noble (2004) Evaluation of negative energy Coulomb (Whittaker) functions. Comput. Phys. Comm. 159 (1), pp. 55–62.
  • 7: 1.2 Elementary Algebra
    See Chrystal (1959a, pp. 151–159). …
    8: 14.3 Definitions and Hypergeometric Representations
    9: Bibliography G
  • B. Gabutti and G. Allasia (2008) Evaluation of q -gamma function and q -analogues by iterative algorithms. Numer. Algorithms 49 (1-4), pp. 159–168.
  • A. Gil, J. Segura, and N. M. Temme (2004a) Algorithm 831: Modified Bessel functions of imaginary order and positive argument. ACM Trans. Math. Software 30 (2), pp. 159–164.
  • 10: Bibliography P
  • H. N. Phien (1988) A Fortran routine for the computation of gamma percentiles. Adv. Eng. Software 10 (3), pp. 159–164.