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. Baricz, Árpád: Zeros of a cross-product of the Coulomb wave and Tricomi hypergeometric functions (2017)
  2. Bremer, James: On the numerical calculation of the roots of special functions satisfying second order ordinary differential equations (2017)
  3. Dixit, Atul; Roy, Arindam; Zaharescu, Alexandru: Error functions, Mordell integrals and an integral analogue of a partial theta function (2017)
  4. Katzav, Eytan; Perlsman, Ehud; Schwartz, Moshe: Yield statistics of interpolated superoscillations (2017)
  5. Rüland, Angkana: On quantitative unique continuation properties of fractional Schrödinger equations: doubling, vanishing order and nodal domain estimates (2017)
  6. Seri, Raffaello: Statistical properties of $b$-adic diaphonies (2017)
  7. Wang, Tongke; Liu, Zhifang; Zhang, Zhiyue: The modified composite Gauss type rules for singular integrals using Puiseux expansions (2017)
  8. Abd-Elhameed, Waleed M.: Linearization coefficients of some particular Jacobi polynomials via hypergeometric functions (2016)
  9. Abd-Elhameed, W.M.; Doha, E.H.; Ahmed, H.M.: Linearization formulae for certain Jacobi polynomials (2016)
  10. Ahlgren, Scott; Andersen, Nickolas: Algebraic and transcendental formulas for the smallest parts function (2016)
  11. Akemann, Gernot; Checinski, Tomasz; Kieburg, Mario: Spectral correlation functions of the sum of two independent complex Wishart matrices with unequal covariances (2016)
  12. Akemann, Gernot; Strahov, Eugene: Dropping the independence: singular values for products of two coupled random matrices (2016)
  13. Akemann, Gernot; Strahov, Eugene: Hard edge limit of the product of two strongly coupled random matrices (2016)
  14. Ali, Asra; Mani, Nitya: Infinite product exponents for modular forms (2016)
  15. AlQudah, Mohammad A.; AlMheidat, Maalee N.: Generalized Jacobi-Koornwinder’s-type Bernstein polynomials bases transformations (2016)
  16. 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)
  17. Aprahamian, Mary; Higham, Nicholas J.: Matrix inverse trigonometric and inverse hyperbolic functions: theory and algorithms (2016)
  18. Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa G.: Approximate calculation of sums. II: Gaussian type quadrature (2016)
  19. Asorey, M.; Balachandran, A.P.; Pérez-Pardo, J.M.: Edge states at phase boundaries and their stability (2016)
  20. Bachelot, Alain: On the Klein-Gordon equation near a de Sitter brane (2016)

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