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11: 24.7 Integral Representations
12: 27.12 Asymptotic Formulas: Primes
13: Bibliography G
  • W. Gautschi (1992) On mean convergence of extended Lagrange interpolation. J. Comput. Appl. Math. 43 (1-2), pp. 19–35.
  • A. Gil, D. Ruiz-Antolín, J. Segura, and N. M. Temme (2016) Algorithm 969: computation of the incomplete gamma function for negative values of the argument. ACM Trans. Math. Softw. 43 (3), pp. 26:1–26:9.
  • D. Gómez-Ullate, N. Kamran, and R. Milson (2010) Exceptional orthogonal polynomials and the Darboux transformation. J. Phys. A 43 (43), pp. 43016, 16 pp..
  • 14: Bibliography T
  • N. M. Temme (1985) Laplace type integrals: Transformation to standard form and uniform asymptotic expansions. Quart. Appl. Math. 43 (1), pp. 103–123.
  • A. Terras (1999) Fourier Analysis on Finite Groups and Applications. London Mathematical Society Student Texts, Vol. 43, Cambridge University Press, Cambridge.
  • 15: Bibliography S
  • I. Shavitt and M. Karplus (1965) Gaussian-transform method for molecular integrals. I. Formulation for energy integrals. J. Chem. Phys. 43 (2), pp. 398–414.
  • C. E. Siewert and E. E. Burniston (1973) Exact analytical solutions of z e z = a . J. Math. Anal. Appl. 43 (3), pp. 626–632.
  • B. Simon (2005c) Sturm oscillation and comparison theorems. In Sturm-Liouville theory, pp. 29–43.
  • D. Slepian and H. O. Pollak (1961) Prolate spheroidal wave functions, Fourier analysis and uncertainty. I. Bell System Tech. J. 40, pp. 43–63.
  • D. Slepian (1964) Prolate spheroidal wave functions, Fourier analysis and uncertainity. IV. Extensions to many dimensions; generalized prolate spheroidal functions. Bell System Tech. J. 43, pp. 3009–3057.
  • 16: Bibliography
  • W. A. Al-Salam and L. Carlitz (1965) Some orthogonal q -polynomials. Math. Nachr. 30, pp. 47–61.
  • F. Alhargan and S. Judah (1995) A general mode theory for the elliptic disk microstrip antenna. IEEE Trans. Antennas and Propagation 43 (6), pp. 560–568.
  • G. E. Andrews, I. P. Goulden, and D. M. Jackson (1986) Shanks’ convergence acceleration transform, Padé approximants and partitions. J. Combin. Theory Ser. A 43 (1), pp. 70–84.
  • 17: Bibliography K
  • A. Khare and U. Sukhatme (2002) Cyclic identities involving Jacobi elliptic functions. J. Math. Phys. 43 (7), pp. 3798–3806.
  • E. Konishi (1996) Calculation of complex polygamma functions. Sci. Rep. Hirosaki Univ. 43 (1), pp. 161–183.
  • J. J. Kovacic (1986) An algorithm for solving second order linear homogeneous differential equations. J. Symbolic Comput. 2 (1), pp. 3–43.
  • 18: 10.16 Relations to Other Functions
    19: 10.60 Sums
    For collections of sums of series relevant to spherical Bessel functions or Bessel functions of half odd integer order see Erdélyi et al. (1953b, pp. 43–45 and 98–105), Gradshteyn and Ryzhik (2000, §§8.51, 8.53), Hansen (1975), Magnus et al. (1966, pp. 106–108 and 123–138), and Prudnikov et al. (1986b, pp. 635–637 and 651–700). …
    20: 18.40 Methods of Computation
    The bottom and top of the steps at the x i are lower and upper bounds to a x i d μ ( x ) as made explicit via the Chebyshev inequalities discussed by Shohat and Tamarkin (1970, pp. 42–43). …