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21: Bibliography B
  • A. Bar-Shalom and M. Klapisch (1988) NJGRAF: An efficient program for calculation of general recoupling coefficients by graphical analysis, compatible with NJSYM. Comput. Phys. Comm. 50 (3), pp. 375–393.
  • P. Barrucand and D. Dickinson (1968) On the Associated Legendre Polynomials. In Orthogonal Expansions and their Continuous Analogues (Proc. Conf., Edwardsville, Ill., 1967), pp. 43–50.
  • A. P. Bassom, P. A. Clarkson, and A. C. Hicks (1993) Numerical studies of the fourth Painlevé equation. IMA J. Appl. Math. 50 (2), pp. 167–193.
  • C. Brezinski (1980) Padé-type Approximation and General Orthogonal Polynomials. International Series of Numerical Mathematics, Vol. 50, Birkhäuser Verlag, Basel.
  • H. M. Bui, B. Conrey, and M. P. Young (2011) More than 41% of the zeros of the zeta function are on the critical line. Acta Arith. 150 (1), pp. 35–64.
  • 22: Peter L. Walker
    Walker is now retired and living in Cheltenham, UK. …
    23: William P. Reinhardt
    Reinhardt was elected to Fellowship in: The American Physical Society 1980, the American Association for the Advancement of Science 1983, Phi Beta Kappa 1998, and The Institute of Physics (UK) 2000. …
    24: Bibliography Y
  • A. J. Yee (2004) Partitions with difference conditions and Alder’s conjecture. Proc. Natl. Acad. Sci. USA 101 (47), pp. 16417–16418.
  • J. M. Yohe (1979) Software for interval arithmetic: A reasonably portable package. ACM Trans. Math. Software 5 (1), pp. 50–63.
  • 25: 1 Algebraic and Analytic Methods
    26: 18 Orthogonal Polynomials
    27: George E. Andrews
    Andrews was elected to the American Academy of Arts and Sciences in 1997, and to the National Academy of Sciences (USA) in 2003. …
    28: Publications
  • Q. Wang and B. V. Saunders (2005) Web-Based 3D Visualization in a Digital Library of Mathematical Functions, Proceedings of the Web3D Symposium, Bangor, UK, March 29–April 1, 2005. PDF
  • 29: Bibliography S
  • C. Schwartz (1961) Variational calculations of scattering. Ann. Phys. 16, pp. 36–50.
  • O. A. Sharafeddin, H. F. Bowen, D. J. Kouri, and D. K. Hoffman (1992) Numerical evaluation of spherical Bessel transforms via fast Fourier transforms. J. Comput. Phys. 100 (2), pp. 294–296.
  • B. D. Sleeman (1966a) Some Boundary Value Problems Associated with the Heun Equation. Ph.D. Thesis, London University.
  • N. J. A. Sloane (2003) The On-Line Encyclopedia of Integer Sequences. Notices Amer. Math. Soc. 50 (8), pp. 912–915.
  • A. O. Smirnov (2002) Elliptic Solitons and Heun’s Equation. In The Kowalevski Property (Leeds, UK, 2000), V. B. Kuznetsov (Ed.), CRM Proc. Lecture Notes, Vol. 32, pp. 287–306.
  • 30: 8.26 Tables
  • Pearson (1965) tabulates the function I ( u , p ) ( = P ( p + 1 , u ) ) for p = 1 ( .05 ) 0 ( .1 ) 5 ( .2 ) 50 , u = 0 ( .1 ) u p to 7D, where I ( u , u p ) rounds off to 1 to 7D; also I ( u , p ) for p = 0.75 ( .01 ) 1 , u = 0 ( .1 ) 6 to 5D.

  • Zhang and Jin (1996, Table 3.8) tabulates γ ( a , x ) for a = 0.5 , 1 , 3 , 5 , 10 , 25 , 50 , 100 , x = 0 ( .1 ) 1 ( 1 ) 3 , 5 ( 5 ) 30 , 50 , 100 to 8D or 8S.

  • Pearson (1968) tabulates I x ( a , b ) for x = 0.01 ( .01 ) 1 , a , b = 0.5 ( .5 ) 11 ( 1 ) 50 , with b a , to 7D.

  • Zhang and Jin (1996, Table 19.1) tabulates E n ( x ) for n = 1 , 2 , 3 , 5 , 10 , 15 , 20 , x = 0 ( .1 ) 1 , 1.5 , 2 , 3 , 5 , 10 , 20 , 30 , 50 , 100 to 7D or 8S.