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. Cima, Anna; Gasull, Armengol; Mañosa, Víctor: Parrondo’s dynamic paradox for the stability of non-hyperbolic fixed points (2018)
  2. Fasondini, Marco; Fornberg, Bengt; Weideman, J.A.C.: A computational exploration of the McCoy-Tracy-Wu solutions of the third Painlevé equation (2018)
  3. Freitas, Pedro: Sharp bounds for the modulus and phase of Hankel functions with applications to Jaeger integrals (2018)
  4. Kakizawa, Yoshihide: Nonparametric density estimation for nonnegative data, using symmetrical-based inverse and reciprocal inverse Gaussian kernels through dual transformation (2018)
  5. Kapita, Shelvean; Monk, Peter: A plane wave discontinuous Galerkin method with a Dirichlet-to-Neumann boundary condition for the scattering problem in acoustics (2018)
  6. 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)
  7. Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin; Pizzichillo, Fabio: Spectral asymptotics for $\delta$-interactions on sharp cones (2018)
  8. Abbas, Tasawar; Ammari, Habib; Hu, Guanghui; Wahab, Abdul; Ye, Jong Chul: Two-dimensional elastic scattering coefficients and enhancement of nearly elastic cloaking (2017)
  9. af Klinteberg, Ludvig; Tornberg, Anna-Karin: Error estimation for quadrature by expansion in layer potential evaluation (2017)
  10. Aiyer, Aditya K.; Subramanian, Kandaswamy; Bhat, Pallavi: Passive scalar mixing and decay at finite correlation times in the Batchelor regime (2017)
  11. Albrecher, Hansjörg; Boxma, Onno; Essifi, Rim; Kuijstermans, Richard: A queueing model with randomized depletion of inventory (2017)
  12. Álvarez, Gabriel; Martínez Alonso, Luis; Medina, Elena: Phase space and phase transitions in the Penner matrix model with negative coupling constant (2017)
  13. Annamalai, Subramanian; Balachandar, S.: Faxén form of time-domain force on a sphere in unsteady spatially varying viscous compressible flows (2017)
  14. Arras, Benjamin; Swan, Yvik: A stroll along the gamma (2017)
  15. Bachelot, Alain: Waves in the Witten bubble of nothing and the Hawking wormhole (2017)
  16. Bachelot-Motet, A.; Bachelot, A.: Waves on accelerating dodecahedral universes (2017)
  17. Baricz, Árpád: Zeros of a cross-product of the Coulomb wave and Tricomi hypergeometric functions (2017)
  18. Baricz, Árpád; Ponnusamy, Saminathan; Singh, Sanjeev: Turán type inequalities for Struve functions (2017)
  19. Barna, I.F.; Pocsai, M.A.; Lökös, S.; Mátyás, L.: Rayleigh-Bènard convection in the generalized Oberbeck-Boussinesq system (2017)
  20. Barrie, Neil D.; Kobakhidze, Archil: Generating luminous and dark matter during inflation (2017)

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