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11: 21.10 Methods of Computation
  • Belokolos et al. (1994, Chapter 5) and references therein. Here the Riemann surface is represented by the action of a Schottky group on a region of the complex plane. The same representation is used in Gianni et al. (1998).

  • 12: 18.37 Classical OP’s in Two or More Variables
    Orthogonal polynomials associated with root systems are certain systems of trigonometric polynomials in several variables, symmetric under a certain finite group (Weyl group), and orthogonal on a torus. …
    13: Bibliography S
  • B. E. Sagan (2001) The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions. 2nd edition, Graduate Texts in Mathematics, Vol. 203, Springer-Verlag, New York.
  • H. Sakai (2001) Rational surfaces associated with affine root systems and geometry of the Painlevé equations. Comm. Math. Phys. 220 (1), pp. 165–229.
  • 14: Daniel W. Lozier
     1941 in Portland, Oregon) was the Group Leader of the Mathematical Software Group in the Applied and Computational Mathematics Division of NIST until his retirement in 2013. … He has also served several terms as an officer of the SIAM Activity Group on Orthogonal Polynomials and Special Functions. …
    15: Bibliography
  • V. I. Arnol’d (1972) Normal forms of functions near degenerate critical points, the Weyl groups A k , D k , E k and Lagrangian singularities. Funkcional. Anal. i Priložen. 6 (4), pp. 3–25 (Russian).
  • R. A. Askey, T. H. Koornwinder, and W. Schempp (Eds.) (1984) Special Functions: Group Theoretical Aspects and Applications. D. Reidel Publishing Co., Dordrecht.
  • 16: Ronald F. Boisvert
    Boisvert has served as Editor-in-Chief of the ACM Transactions on Mathematical Software 1992-2005, Co-chair of the Numerics Working Group of the Java Grande Forum 1998-2003, Co-chair of the Publications Board of the Association for Computing Machinery (ACM) 2005-2013, and Chair of the International Federation for Information Processing (IFIP) Working Group 2. …
    17: Brian Antonishek
    Brian Antonishek is on the staff of the Visualization and Usability Group in the Information Access Division of the Information Technology Laboratory at the National Institute of Standards and Technology. …
    18: Javier Segura
    Segura is a member of the IFIP Working Group 2. …
    19: Ian J. Thompson
     1953 in New Zealand) has been since 2006 a Theoretical Nuclear Physicist in the Nuclear Theory and Modeling Group of the Lawrence Livermore National Laboratory, Livermore, California. …
    20: Qiming Wang
    She started to work for NIST in 1990 and was on the staff of the Visualization and Usability Group in the Information Access Division of the Information Technology Laboratory in the National Institute of Standards and Technology when she retired in March, 2008. …