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1: Bibliography G
  • B. Gabutti (1979) On high precision methods for computing integrals involving Bessel functions. Math. Comp. 33 (147), pp. 1049–1057.
  • J. A. Gaunt (1929) The triplets of helium. Philos. Trans. Roy. Soc. London Ser. A 228, pp. 151–196.
  • A. Gervois and H. Navelet (1986a) Some integrals involving three modified Bessel functions. I. J. Math. Phys. 27 (3), pp. 682–687.
  • G. H. Golub and C. F. Van Loan (1996) Matrix Computations. 3rd edition, Johns Hopkins University Press, Baltimore, MD.
  • R. G. Gordon (1970) Constructing wavefunctions for nonlocal potentials. J. Chem. Phys. 52, pp. 6211–6217.
  • 2: Bibliography D
  • B. Davies (1984) Integral Transforms and their Applications. 2nd edition, Applied Mathematical Sciences, Vol. 25, Springer-Verlag, New York.
  • P. J. Davis and P. Rabinowitz (1984) Methods of Numerical Integration. 2nd edition, Computer Science and Applied Mathematics, Academic Press Inc., Orlando, FL.
  • C. de la Vallée Poussin (1896a) Recherches analytiques sur la théorie des nombres premiers. Première partie. La fonction ζ ( s ) de Riemann et les nombres premiers en général, suivi d’un Appendice sur des réflexions applicables à une formule donnée par Riemann. Ann. Soc. Sci. Bruxelles 20, pp. 183–256 (French).
  • 3: Bibliography S
  • J. L. Schiff (1999) The Laplace Transform: Theory and Applications. Undergraduate Texts in Mathematics, Springer-Verlag, New York.
  • M. J. Seaton and G. Peach (1962) The determination of phases of wave functions. Proc. Phys. Soc. 79 (6), pp. 1296–1297.
  • M. J. Seaton (1984) The accuracy of iterated JWBK approximations for Coulomb radial functions. Comput. Phys. Comm. 32 (2), pp. 115–119.
  • J. D. Secada (1999) Numerical evaluation of the Hankel transform. Comput. Phys. Comm. 116 (2-3), pp. 278–294.
  • S. Yu. Slavyanov and N. A. Veshev (1997) Structure of avoided crossings for eigenvalues related to equations of Heun’s class. J. Phys. A 30 (2), pp. 673–687.
  • 4: 25.21 Software
    §25.21(vii) Fermi–Dirac and Bose–Einstein Integrals
    5: Bibliography F
  • T. Fukushima (2010) Fast computation of incomplete elliptic integral of first kind by half argument transformation. Numer. Math. 116 (4), pp. 687–719.
  • 6: 16.25 Methods of Computation
    See §§3.6(vii), 3.7(iii), Olde Daalhuis and Olver (1998), Lozier (1980), and Wimp (1984, Chapters 7, 8).
    7: 7.25 Software
    §7.25(vii) ( z ) , G ( z ) , z
    8: 8.28 Software
    §8.28(vii) Generalized Exponential Integral for Complex Argument and/or Parameter
    9: 10.77 Software
    §10.77(vii) Bessel Functions–Complex Order and Real Argument
    10: 34.9 Graphical Method
    For an account of this method see Brink and Satchler (1993, Chapter VII). …