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1: 10 Bessel Functions
2: 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
3: 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
10 0 1 6 14 23 30 35 38 40 41 42
4: 11 Struve and Related Functions
Chapter 11 Struve and Related Functions
5: 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
  • 6: Staff
  • 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 (deceased)

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

  • 7: 29 Lamé Functions
    Chapter 29 Lamé Functions
    8: 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
    9: 24.20 Tables
    In Wagstaff (2002) these results are extended to n = 60 ( 2 ) 152 and n = 40 ( 2 ) 88 , respectively, with further complete and partial factorizations listed up to n = 300 and n = 200 , respectively. For information on tables published before 1961 see Fletcher et al. (1962, v. 1, §4) and Lebedev and Fedorova (1960, Chapters 11 and 14).
    10: Bibliography E
  • C. Eckart (1930) The penetration of a potential barrier by electrons. Phys. Rev. 35 (11), pp. 1303–1309.
  • D. Elliott (1998) The Euler-Maclaurin formula revisited. J. Austral. Math. Soc. Ser. B 40 (E), pp. E27–E76 (electronic).
  • A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi (1953b) Higher Transcendental Functions. Vol. II. McGraw-Hill Book Company, Inc., New York-Toronto-London.
  • F. H. L. Essler, H. Frahm, A. R. Its, and V. E. Korepin (1996) Painlevé transcendent describes quantum correlation function of the X X Z antiferromagnet away from the free-fermion point. J. Phys. A 29 (17), pp. 5619–5626.
  • L. Euler (1768) Institutiones Calculi Integralis. Opera Omnia (1), Vol. 11, pp. 110–113.