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. Adorno, T. C.; Ferreira, R.; Gavrilov, S. P.; Gitman, D. M.: Role of switching-on and -off effects in the vacuum instability (2018)
  2. af Klinteberg, Ludvig; Tornberg, Anna-Karin: Adaptive quadrature by expansion for layer potential evaluation in two dimensions (2018)
  3. Akemann, Gernot; Cikovic, Milan: Products of random matrices from fixed trace and induced Ginibre ensembles (2018)
  4. Al-Badawi, A.; Sakalli, I.: Dirac and Klein-Gordon-Fock equations in Grumiller’s spacetime (2018)
  5. Alvarez, Orlando; Haddad, Matthew: Some exact solutions for maximally symmetric topological defects in Anti de Sitter space (2018)
  6. Ansari, Alireza; Masomi, Mohammad Rasool: Some integral identities for products of Airy functions using integral transforms (2018)
  7. Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar: A Hardy inequality for ultraspherical expansions with an application to the sphere (2018)
  8. Atai, Farrokh; Langmann, Edwin: Series solutions of the non-stationary Heun equation (2018)
  9. Atakishiyev, Natig M.; Pogosyan, George S.; Wolf, Kurt Bernardo; Yakhno, Alexander: Elliptic basis for the Zernike system: Heun function solutions (2018)
  10. Atkin, Max R.; Charlier, Christophe; Zohren, Stefan: On the ratio probability of the smallest eigenvalues in the Laguerre unitary ensemble (2018)
  11. Balkanova, Olga; Frolenkov, Dmitry: Non-vanishing of automorphic $L$-functions of prime power level (2018)
  12. Bao, Gang; Hu, Guanghui; Sun, Jiguang; Yin, Tao: Direct and inverse elastic scattering from anisotropic media (2018)
  13. Baradaran, Marzieh; Carrasco, José A.; Finkel, Federico; González-López, Artemio: Jastrow-like ground states for quantum many-body potentials with near-neighbors interactions (2018)
  14. Baricz, Árpád; Szakál, Anikó; Szász, Róbert; Yağmur, Nihat: Radii of starlikeness and convexity of a product and cross-product of Bessel functions (2018)
  15. Bennett, T.; Howls, C. J.; Nemes, G.; Olde Daalhuis, A. B.: Globally exact asymptotics for integrals with arbitrary order saddles (2018)
  16. Bhati, Deepesh; Ravi, Sreenivasan: On generalized log-Moyal distribution: a new heavy tailed size distribution (2018)
  17. Bohra, Nisha; Ravichandran, V.: Radii problems for normalized Bessel functions of first kind (2018)
  18. Bollati, Julieta; Tarzia, Domingo A.: Exact solution for a two-phase Stefan problem with variable latent heat and a convective boundary condition at the fixed face (2018)
  19. Borwein, Jonathan M.; Corless, Robert M.: Gamma and factorial in the Monthly (2018)
  20. Borwein, Jonathan M.; Dilcher, Karl: Derivatives and fast evaluation of the Tornheim zeta function (2018)

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