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21: 14 Legendre and Related Functions
22: David M. Bressoud
… …
23: Hans Volkmer
Volkmer has published numerous papers on special functions, spectral theory, differential equations, and mathematical statistics. …
24: Preface
The authoritative status of the existing Handbook, and its orientation toward applications in science, statistics, engineering and computation, will be preserved. …
25: 19.31 Probability Distributions
§19.31 Probability Distributions
26: Bibliography P
  • G. Parisi (1988) Statistical Field Theory. Addison-Wesley, Reading, MA.
  • A. M. Parkhurst and A. T. James (1974) Zonal Polynomials of Order 1 Through 12 . In Selected Tables in Mathematical Statistics, H. L. Harter and D. B. Owen (Eds.), Vol. 2, pp. 199–388.
  • J. K. Patel and C. B. Read (1982) Handbook of the Normal Distribution. Statistics: Textbooks and Monographs, Vol. 40, Marcel Dekker Inc., New York.
  • P. C. B. Phillips (1986) The exact distribution of the Wald statistic. Econometrica 54 (4), pp. 881–895.
  • T. Prellberg and A. L. Owczarek (1995) Stacking models of vesicles and compact clusters. J. Statist. Phys. 80 (3–4), pp. 755–779.
  • 27: 5.20 Physical Applications
    Solvable Models of Statistical Mechanics
    28: 23.21 Physical Applications
    §23.21 Physical Applications
  • Statistical mechanics. See Baxter (1982, p. 434) and Itzykson and Drouffe (1989, §9.3).

  • 29: 31.17 Physical Applications
    §31.17(ii) Other Applications
    Heun functions appear in the theory of black holes (Kerr (1963), Teukolsky (1972), Chandrasekhar (1984), Suzuki et al. (1998), Kalnins et al. (2000)), lattice systems in statistical mechanics (Joyce (1973, 1994)), dislocation theory (Lay and Slavyanov (1999)), and solution of the Schrödinger equation of quantum mechanics (Bay et al. (1997), Tolstikhin and Matsuzawa (2001), and Hall et al. (2010)). …
    30: Bibliography I
  • A. E. Ingham (1933) An integral which occurs in statistics. Proceedings of the Cambridge Philosophical Society 29, pp. 271–276.
  • C. Itzykson and J. Drouffe (1989) Statistical Field Theory: Strong Coupling, Monte Carlo Methods, Conformal Field Theory, and Random Systems. Vol. 2, Cambridge University Press, Cambridge.