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. Al-Badawi, A.; Sakalli, I.: Dirac and Klein-Gordon-Fock equations in Grumiller’s spacetime (2018)
  2. Balkanova, Olga; Frolenkov, Dmitry: Non-vanishing of automorphic $L$-functions of prime power level (2018)
  3. Baradaran, Marzieh; Carrasco, José A.; Finkel, Federico; González-López, Artemio: Jastrow-like ground states for quantum many-body potentials with near-neighbors interactions (2018)
  4. Borwein, Jonathan M.; Dilcher, Karl: Derivatives and fast evaluation of the Tornheim zeta function (2018)
  5. Bremer, James: On the numerical solution of second order ordinary differential equations in the high-frequency regime (2018)
  6. Bringmann, Kathrin; Kane, Ben: Regularized inner products and weakly holomorphic Hecke eigenforms (2018)
  7. Cima, Anna; Gasull, Armengol; Mañosa, Víctor: Parrondo’s dynamic paradox for the stability of non-hyperbolic fixed points (2018)
  8. Constales, Denis; De Bie, Hendrik; Lian, Pan: Explicit formulas for the Dunkl dihedral kernel and the $(\kappa,a)$-generalized Fourier kernel (2018)
  9. Costin, Ovidiu; Dunne, Gerald V.: Convergence from divergence (2018)
  10. Cumberbatch, Ellis; Llewellyn Smith, Stefan G.: Current/voltage characteristics of the short-channel double-gate transistor. I (2018)
  11. Dappiaggi, Claudio; Ferreira, Hugo R.C.; Herdeiro, Carlos A.R.: Superradiance in the BTZ black hole with Robin boundary conditions (2018)
  12. Dias, José Carlos; Vidal Nunes, João Pedro: Universal recurrence algorithm for computing Nuttall, generalized Marcum and incomplete Toronto functions and moments of a noncentral $\chi^2$ random variable (2018)
  13. Doschoris, Michael; Vafeas, Panayiotis; Fragoyiannis, George: The influence of surface deformations on the forward magnetoencephalographic problem (2018)
  14. Driscoll, Tobin A.; Braun, Richard J.: Fundamentals of numerical computation (2018)
  15. Eckhardt, Jonathan; Kostenko, Aleksey; Teschl, Gerald: Spectral asymptotics for canonical systems (2018)
  16. Fasondini, Marco; Fornberg, Bengt; Weideman, J.A.C.: A computational exploration of the McCoy-Tracy-Wu solutions of the third Painlevé equation (2018)
  17. Freitas, Pedro: Sharp bounds for the modulus and phase of Hankel functions with applications to Jaeger integrals (2018)
  18. Fröb, Markus B.: One-loop quantum gravitational corrections to the scalar two-point function at fixed geodesic distance (2018)
  19. Gaunt, Robert E.: A probabilistic proof of some integral formulas involving the Meijer $G$-function (2018)
  20. Gheorghiu, Călin-Ioan: Spectral collocation solutions to problems on unbounded domains (2018)

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