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. af Klinteberg, Ludvig; Askham, Travis; Kropinski, Mary Catherine: A fast integral equation method for the two-dimensional Navier-Stokes equations (2020)
  2. Agoh, Takashi: On bivariate and trivariate Miki-type identities for Bernoulli polynomials (2020)
  3. Alaminos-Quesada, J.; Fernandez-Feria, Ramon: Propulsion of a foil undergoing a flapping undulatory motion from the impulse theory in the linear potential limit (2020)
  4. Arafat, Ahmed; Gregori, Pablo; Porcu, Emilio: Schoenberg coefficients and curvature at the origin of continuous isotropic positive definite kernels on spheres (2020)
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  7. Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar: Discrete harmonic analysis associated with Jacobi expansions. I: The heat semigroup (2020)
  8. Arnold, Anton; Döpfner, Kirian: Stationary Schrödinger equation in the semi-classical limit: WKB-based scheme coupled to a turning point (2020)
  9. Asakura, Masanori; Yabu, Toshifumi: Explicit logarithmic formulas of special values of hypergeometric functions (_3F_2) (2020)
  10. Aurentz, Jared Lee; Slevinsky, Richard Mikaël: On symmetrizing the ultraspherical spectral method for self-adjoint problems (2020)
  11. Averseng, Martin: Fast discrete convolution in (\mathbbR^2) with radial kernels using non-uniform fast Fourier transform with nonequispaced frequencies (2020)
  12. Baik, Jinho; Bothner, Thomas: The largest real eigenvalue in the real Ginibre ensemble and its relation to the Zakharov-Shabat system (2020)
  13. Balabdaoui, Fadoua; Kulagina, Yulia: Completely monotone distributions: mixing, approximation and estimation of number of species (2020)
  14. Banderier, Cyril; Marchal, Philippe; Wallner, Michael: Periodic Pólya urns, the density method and asymptotics of Young tableaux (2020)
  15. Barhoumi, Ahmad; Yattselev, Maxim L.: Asymptotics of polynomials orthogonal on a cross with a Jacobi-type weight (2020)
  16. Barnard, Roger W.; Richards, Kendall C.; Sliheet, Elyssa N.: On sharp bounds for ratios of (k)-balanced hypergeometric functions (2020)
  17. Batsidis, Apostolos; Jiménez-Gamero, María Dolores; Lemonte, Artur J.: On goodness-of-fit tests for the Bell distribution (2020)
  18. Belinskiy, Boris P.; Hiestand, James W.; Weerasena, Lakmali: Optimal design of a fin in steady-state (2020)
  19. Berger, Arno; Xu, Chuang: Asymptotics of one-dimensional Lévy approximations (2020)
  20. Bertola, Marco; Blackstone, Elliot; Katsevich, Alexander; Tovbis, Alexander: Diagonalization of the finite Hilbert transform on two adjacent intervals: the Riemann-Hilbert approach (2020)

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