NIST digital library of mathematical functions. The National Institute of Standards and Technology is preparing a Digital Library of Mathematical Functions (DLMF) to provide useful data about special functions for a wide audience. The initial products will be a published handbook and companion Web site, both scheduled for completion in 2003. More than 50 mathematicians, physicists and computer scientists from around the world are participating in the work. The data to be covered include mathematical formulas, graphs, references, methods of computation, and links to software. Special features of the Web site include 3D interactive graphics and an equation search capability. The information technology tools that are being used are, of necessity, ones that are widely available now, even though better tools are in active development. For example, LaTeX files are being used as the common source for both the handbook and the Web site. This is the technology of choice for presentation of mathematics in print but it is not well suited to equation search, for example, or for input to computer algebra systems. These and other problems, and some partially successful work-arounds, are discussed in this paper and in the companion paper by {it B. R. Miller} and {it A. Youssef} lbrack ibid. 38, 121--136 (2003; Zbl 1019.65002) brack.

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  1. Kapita, Shelvean; Monk, Peter: A plane wave discontinuous Galerkin method with a Dirichlet-to-Neumann boundary condition for the scattering problem in acoustics (2018)
  2. Kazemi, Seyed-Mohammad-Mahdi; Dehghan, Mehdi; Foroush Bastani, Ali: On a new family of radial basis functions: mathematical analysis and applications to option pricing (2018)
  3. af Klinteberg, Ludvig; Tornberg, Anna-Karin: Error estimation for quadrature by expansion in layer potential evaluation (2017)
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  8. Bachelot-Motet, A.; Bachelot, A.: Waves on accelerating dodecahedral universes (2017)
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  11. Barrie, Neil D.; Kobakhidze, Archil: Generating luminous and dark matter during inflation (2017)
  12. Berndt, Bruce C.; Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru: New pathways and connections in number theory and analysis motivated by two incorrect claims of Ramanujan (2017)
  13. Berry, M.V.: Dingle’s self-resurgence formula (2017)
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  15. Bilman, Deniz; Trogdon, Thomas: Numerical inverse scattering for the Toda lattice (2017)
  16. Biondini, Gino; Trogdon, Thomas: Gibbs phenomenon for dispersive PDEs on the line (2017)
  17. Bleher, Pavel; Deaño, Alfredo; Yattselev, Maxim: Topological expansion in the complex cubic log-gas model: one-cut case (2017)
  18. Bolte, Jens; Egger, Sebastian; Keppeler, Stefan: The Berry-Keating operator on a lattice (2017)
  19. Bremer, James: On the numerical calculation of the roots of special functions satisfying second order ordinary differential equations (2017)
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