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. Wang, Tongke; Liu, Zhifang; Zhang, Zhiyue: The modified composite Gauss type rules for singular integrals using Puiseux expansions (2017)
  2. Abd-Elhameed, Waleed M.: Linearization coefficients of some particular Jacobi polynomials via hypergeometric functions (2016)
  3. Abd-Elhameed, W.M.; Doha, E.H.; Ahmed, H.M.: Linearization formulae for certain Jacobi polynomials (2016)
  4. Ahlgren, Scott; Andersen, Nickolas: Algebraic and transcendental formulas for the smallest parts function (2016)
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  6. Akemann, Gernot; Strahov, Eugene: Dropping the independence: singular values for products of two coupled random matrices (2016)
  7. Ambikasaran, Sivaram; Borges, Carlos; Imbert-Gerard, Lise-Marie; Greengard, Leslie: Fast, adaptive, high-order accurate discretization of the Lippmann-Schwinger equation in two dimensions (2016)
  8. Aprahamian, Mary; Higham, Nicholas J.: Matrix inverse trigonometric and inverse hyperbolic functions: theory and algorithms (2016)
  9. Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa G.: Approximate calculation of sums. II: Gaussian type quadrature (2016)
  10. Asorey, M.; Balachandran, A.P.; Pérez-Pardo, J.M.: Edge states at phase boundaries and their stability (2016)
  11. Bachelot, Alain: On the Klein-Gordon equation near a de Sitter brane (2016)
  12. Bakulin, V.N.; Inflianskas, V.: Addition to the Aitken method for the extrapolation of the limit of slowly convergent sequences (2016)
  13. Balandin, Alexander: The localized basis functions for scalar and vector 3D tomography and their ray transforms (2016)
  14. Bardsley, Patrick; Vasquez, Fernando Guevara: Kirchhoff migration without phases (2016)
  15. Baricz, Árpád; Maširević, Dragana Jankov; Ponnusamy, Saminathan; Singh, Sanjeev: Bounds for the product of modified Bessel functions (2016)
  16. Baricz, Árpád; Orhan, Halit; Szász, Róbert: The radius of $\alpha$-convexity of normalized Bessel functions of the first kind (2016)
  17. Baricz, Árpád; Ponnusamy, Saminathan; Singh, Sanjeev: Turán type inequalities for general Bessel functions (2016)
  18. Baricz, Árpád; Szász, Róbert: Close-to-convexity of some special functions and their derivatives (2016)
  19. Baskin, Dean; Spence, Euan A.; Wunsch, Jared: Sharp high-frequency estimates for the Helmholtz equation and applications to boundary integral equations (2016)
  20. Bendali, Abderrahmane; Cocquet, Pierre-Henri; Tordeux, Sébastien: Approximation by multipoles of the multiple acoustic scattering by small obstacles in three dimensions and application to the Foldy theory of isotropic scattering (2016)

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