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 2225 articles , 4 standard articles )

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  1. Albesiano, Roberto: Solutions of Liouville equations with non-trivial profile in dimensions 2 and 4 (2021)
  2. Baricz, Árpád; Bisht, Nitin; Singh, Sanjeev; Antony Vijesh, V.: The generalized Marcum function of the second kind: monotonicity patterns and tight bounds (2021)
  3. Barnard, Roger W.; Richards, Kendall C.: A direct proof of Brannan’s conjecture for (\beta= 1) (2021)
  4. Florentin, Dan I.; Segal, Alexander: A Santaló-type inequality for the (\mathcalJ) transform (2021)
  5. Gaunt, Robert E.; Merkle, Milan: On bounds for the mode and median of the generalized hyperbolic and related distributions (2021)
  6. Qi, Feng; Guo, Bai-Ni: From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions (2021)
  7. Tian, Jing-Feng; Yang, Zhenhang: Asymptotic expansions of Gurland’s ratio and sharp bounds for their remainders (2021)
  8. Abergel, Rémy; Moisan, Lionel: Algorithm 1006: Fast and accurate evaluation of a generalized incomplete gamma function (2020)
  9. af Klinteberg, Ludvig; Askham, Travis; Kropinski, Mary Catherine: A fast integral equation method for the two-dimensional Navier-Stokes equations (2020)
  10. Agoh, Takashi: On bivariate and trivariate Miki-type identities for Bernoulli polynomials (2020)
  11. Agrachev, Andrei; Beschastnyi, Ivan: Jacobi fields in optimal control: one-dimensional variations (2020)
  12. Ahmed, Salim: Step response-based identification of fractional order time delay models (2020)
  13. 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)
  14. Albicker, Annalena; Griesmaier, Roland: Monotonicity in inverse obstacle scattering on unbounded domains (2020)
  15. Alés, Alejandro; López, Juan M.: Surface super-roughening driven by spatiotemporally correlated noise (2020)
  16. Alzer, Horst; Richards, Kendall C.: A concavity property of the complete elliptic integral of the first kind (2020)
  17. Arafat, Ahmed; Gregori, Pablo; Porcu, Emilio: Schoenberg coefficients and curvature at the origin of continuous isotropic positive definite kernels on spheres (2020)
  18. Araneda, Axel A.: The fractional and mixed-fractional CEV model (2020)
  19. Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar: The convergence of discrete Fourier-Jacobi series (2020)
  20. Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar: Discrete harmonic analysis associated with Jacobi expansions. I: The heat semigroup (2020)

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