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1: 14 Legendre and Related Functions
Chapter 14 Legendre and Related Functions
2: 29 Lamé Functions
Chapter 29 Lamé Functions
3: 10 Bessel Functions
4: 1 Algebraic and Analytic Methods
5: 18 Orthogonal Polynomials
6: 4.27 Sums
For sums of trigonometric and inverse trigonometric functions see Gradshteyn and Ryzhik (2000, Chapter 1), Hansen (1975, §§14–42), Oberhettinger (1973), and Prudnikov et al. (1986a, Chapter 5).
7: Staff
  • T. Mark Dunster, San Diego State University, Chap. 14

  • Richard B. Paris, University of Abertay, Chaps. 8, 11

  • Hans Volkmer, University of Wisconsin, Milwaukee, Chaps. 29, 30

  • T. Mark Dunster, San Diego State University, for Chap. 14

  • Richard B. Paris, University of Abertay Dundee, for Chaps. 8, 11 (deceased)

  • 8: 24.20 Tables
    For information on tables published before 1961 see Fletcher et al. (1962, v. 1, §4) and Lebedev and Fedorova (1960, Chapters 11 and 14).
    9: Publications
  • B. V. Saunders and Q. Wang (2005) Boundary/Contour Fitted Grid Generation for Effective Visualizations in a Digital Library of Mathematical Functions, Proceedings of the 9th International Conference on Numerical Grid Generation in Computational Field Simulations, San Jose, June 11–18, 2005. pp. 61–71. PDF
  • 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
  • B. V. Saunders and Q. Wang (2006) From B-Spline Mesh Generation to Effective Visualizations for the NIST Digital Library of Mathematical Functions, in Curve and Surface Design, Proceedings of the Sixth International Conference on Curves and Surfaces, Avignon, France June 29–July 5, 2006, pp. 235–243. PDF
  • B. R. Miller (2007) Creating Webs of Math Using , Proceedings 6th International Congress on Industrial and Applied Mathematics, Zürich, Switzerland, July 17, 2007. PDF
  • R. Boisvert, C. W. Clark, D. Lozier and F. Olver (2011) A Special Functions Handbook for the Digital Age, Notices of the American Mathematical Society 58, 7 (2011), pp. 905–911. PDF
  • 10: 24.2 Definitions and Generating Functions
    Table 24.2.1: Bernoulli and Euler numbers.
    n B n E n
    14 7 6 1993 60981
    Table 24.2.3: Bernoulli numbers B n = N / D .
    n N D B n
    14 7 6 1.16666 6667
    Table 24.2.4: Euler numbers E n .
    n E n
    14 1993 60981
    Table 24.2.5: Coefficients b n , k of the Bernoulli polynomials B n ( x ) = k = 0 n b n , k x k .
    k
    n 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
    Table 24.2.6: Coefficients e n , k of the Euler polynomials E n ( x ) = k = 0 n e n , k x k .
    k
    n 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15