DLMF

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.


References in zbMATH (referenced in 2331 articles , 4 standard articles )

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  1. Qi, Feng; Guo, Bai-Ni: From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions (2021)
  2. Schmid, Harald: On the deformation of linear Hamiltonian systems (2021)
  3. Schmidt, Heinz-Jürgen; Schnack, Jürgen; Holthaus, Martin: Floquet theory of the analytical solution of a periodically driven two-level system (2021)
  4. Sousa, Rúben; Guerra, Manuel; Yakubovich, Semyon: Lévy processes with respect to the Whittaker convolution (2021)
  5. Štampach, František: Asymptotic behavior and zeros of the Bernoulli polynomials of the second kind (2021)
  6. Steinwart, Ingo; Ziegel, Johanna F.: Strictly proper kernel scores and characteristic kernels on compact spaces (2021)
  7. Thompson, Ian; Davies, Morris; Urbikain, Miren Karmele: Analysis of series and products. I: The Euler-Maclaurin formula (2021)
  8. Thompson, Ian; Davies, Morris; Urbikain, Miren Karmele: Analysis of series and products. II: The trapezoidal rule (2021)
  9. Tian, Jing-Feng; Yang, Zhenhang: Asymptotic expansions of Gurland’s ratio and sharp bounds for their remainders (2021)
  10. Wang, Haiyong: How much faster does the best polynomial approximation converge than Legendre projection? (2021)
  11. Weber, Brian: Regularity and a Liouville theorem for a class of boundary-degenerate second order equations (2021)
  12. Wiart, Jaspar; Wong, Elaine: Walsh functions, scrambled (( 0 , m , s ))-nets, and negative covariance: applying symbolic computation to quasi-Monte Carlo integration (2021)
  13. Zhao, Tie-Hong; Wang, Miao-Kun; Chu, Yu-Ming: Monotonicity and convexity involving generalized elliptic integral of the first kind (2021)
  14. Abergel, Rémy; Moisan, Lionel: Algorithm 1006: Fast and accurate evaluation of a generalized incomplete gamma function (2020)
  15. af Klinteberg, Ludvig; Askham, Travis; Kropinski, Mary Catherine: A fast integral equation method for the two-dimensional Navier-Stokes equations (2020)
  16. Agoh, Takashi: On bivariate and trivariate Miki-type identities for Bernoulli polynomials (2020)
  17. Agrachev, Andrei; Beschastnyi, Ivan: Jacobi fields in optimal control: one-dimensional variations (2020)
  18. Ahmed, Salim: Step response-based identification of fractional order time delay models (2020)
  19. Ahn, Yongjun; Jahnke, Viktor; Jeong, Hyun-Sik; Kim, Keun-Young; Lee, Kyung-Sun; Nishida, Mitsuhiro: Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography (2020)
  20. Akemann, Gernot; Tribe, Roger; Tsareas, Athanasios; Zaboronski, Oleg: On the determinantal structure of conditional overlaps for the complex Ginibre ensemble (2020)