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1: DLMF Project News
error generating summary
2: Staff
  • Richard A. Askey, University of Wisconsin, Chaps. 1, 5, 16

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

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

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

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

  • 3: 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
  • A. Youssef (2007) Advances in Math Search, Proceedings 6th International Congress on Industrial and Applied Mathematics, Zürich, Switzerland, July 17, 2007. PDF
  • 4: 10 Bessel Functions
    5: 26.2 Basic Definitions
    Table 26.2.1: Partitions p ( n ) .
    n p ( n ) n p ( n ) n p ( n )
    6 11 23 1255 40 37338
    11 56 28 3718 45 89134
    12 77 29 4565 46 1 05558
    16 231 33 10143 50 2 04226
    6: 11 Struve and Related Functions
    Chapter 11 Struve and Related Functions
    7: 29 Lamé Functions
    Chapter 29 Lamé Functions
    8: 28.6 Expansions for Small q
    28.6.2 a 1 ( q ) = 1 + q 1 8 q 2 1 64 q 3 1 1536 q 4 + 11 36864 q 5 + 49 5 89824 q 6 + 55 94 37184 q 7 83 353 89440 q 8 + ,
    28.6.3 b 1 ( q ) = 1 q 1 8 q 2 + 1 64 q 3 1 1536 q 4 11 36864 q 5 + 49 5 89824 q 6 55 94 37184 q 7 83 353 89440 q 8 + ,
    28.6.10 a 5 ( q ) = 25 + 1 48 q 2 + 11 7 74144 q 4 + 1 1 47456 q 5 + 37 8918 13888 q 6 + ,
    28.6.11 b 5 ( q ) = 25 + 1 48 q 2 + 11 7 74144 q 4 1 1 47456 q 5 + 37 8918 13888 q 6 + ,
    28.6.21 2 1 / 2 ce 0 ( z , q ) = 1 1 2 q cos 2 z + 1 32 q 2 ( cos 4 z 2 ) 1 128 q 3 ( 1 9 cos 6 z 11 cos 2 z ) + ,
    9: 27.2 Functions
    Table 27.2.1: Primes.
    n p n p n + 10 p n + 20 p n + 30 p n + 40 p n + 50 p n + 60 p n + 70 p n + 80 p n + 90
    5 11 47 97 149 197 257 313 379 439 499
    10 29 71 113 173 229 281 349 409 463 541
    Table 27.2.2: Functions related to division.
    n ϕ ( n ) d ( n ) σ ( n ) n ϕ ( n ) d ( n ) σ ( n ) n ϕ ( n ) d ( n ) σ ( n ) n ϕ ( n ) d ( n ) σ ( n )
    1 1 1 1 14 6 4 24 27 18 4 40 40 16 8 90
    3 2 2 4 16 8 5 31 29 28 2 30 42 12 8 96
    11 10 2 12 24 8 8 60 37 36 2 38 50 20 6 93
    10: 26.9 Integer Partitions: Restricted Number and Part Size
    Table 26.9.1: Partitions p k ( n ) .
    n k
    6 0 1 4 7 9 10 11 11 11 11 11
    7 0 1 4 8 11 13 14 15 15 15 15
    9 0 1 5 12 18 23 26 28 29 30 30