About the Project

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1: Bibliography V
  • O. Vallée and M. Soares (2010) Airy Functions and Applications to Physics. Second edition, Imperial College Press, London.
  • A. L. Van Buren, R. V. Baier, S. Hanish, and B. J. King (1972) Calculation of spheroidal wave functions. J. Acoust. Soc. Amer. 51, pp. 414–416.
  • A. L. Van Buren, B. J. King, R. V. Baier, and S. Hanish (1975) Tables of Angular Spheroidal Wave Functions, Vol. 1, Prolate, m = 0 ; Vol. 2, Oblate, m=0. Naval Res. Lab. Reports, Washington, D.C..
  • H. Volkmer (2004a) Error estimates for Rayleigh-Ritz approximations of eigenvalues and eigenfunctions of the Mathieu and spheroidal wave equation. Constr. Approx. 20 (1), pp. 39–54.
  • 2: 20 Theta Functions
    Chapter 20 Theta Functions
    3: Staff
  • David M. Bressoud, Macalester College, Chap. 26

  • William P. Reinhardt, University of Washington, Chaps. 20, 22, 23

  • Peter L. Walker, American University of Sharjah, Chaps. 20, 22, 23

  • William P. Reinhardt, University of Washington, for Chaps. 20, 22, 23

  • Peter L. Walker, American University of Sharjah, for Chaps. 20, 22, 23

  • 4: Bibliography K
  • R. B. Kearfott, M. Dawande, K. Du, and C. Hu (1994) Algorithm 737: INTLIB: A portable Fortran 77 interval standard-function library. ACM Trans. Math. Software 20 (4), pp. 447–459.
  • M. K. Kerimov (1980) Methods of computing the Riemann zeta-function and some generalizations of it. USSR Comput. Math. and Math. Phys. 20 (6), pp. 212–230.
  • B. J. King, R. V. Baier, and S. Hanish (1970) A Fortran computer program for calculating the prolate spheroidal radial functions of the first and second kind and their first derivatives. NRL Report No. 7012 Naval Res. Lab.  Washingtion, D.C..
  • B. J. King and A. L. Van Buren (1973) A general addition theorem for spheroidal wave functions. SIAM J. Math. Anal. 4 (1), pp. 149–160.
  • B. J. King and A. L. Van Buren (1970) A Fortran computer program for calculating the prolate and oblate angle functions of the first kind and their first and second derivatives. NRL Report No. 7161 Naval Res. Lab.  Washingtion, D.C..
  • 5: Bibliography R
  • H. Rademacher (1938) On the partition function p(n). Proc. London Math. Soc. (2) 43 (4), pp. 241–254.
  • J. Raynal (1979) On the definition and properties of generalized 6 - j  symbols. J. Math. Phys. 20 (12), pp. 2398–2415.
  • F. E. Relton (1965) Applied Bessel Functions. Dover Publications Inc., New York.
  • W. Rudin (1966) Real and complex analysis. McGraw-Hill Book Co., New York-Toronto, Ont.-London.
  • J. Rys, M. Dupuis, and H. F. King (1983) Computation of electron repulsion integrals using the Rys quadrature method. J. Comput. Chem. 4 (2), pp. 154–175.
  • 6: 30.10 Series and Integrals
    For an addition theorem, see Meixner and Schäfke (1954, p. 300) and King and Van Buren (1973). …
    7: 30.18 Software
    See also King et al. (1970), King and Van Buren (1970), Van Buren et al. (1970), and Van Buren et al. (1972).
    8: 8 Incomplete Gamma and Related
    Functions
    9: 28 Mathieu Functions and Hill’s Equation
    10: Peter L. Walker
    Walker was elected a member of the London Mathematical Society (1970). …