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. Albesiano, Roberto: Solutions of Liouville equations with non-trivial profile in dimensions 2 and 4 (2021)
  2. Amdeberhan, Tewodros; Moll, Victor Hugo; Straub, Armin; Vignat, Christophe: A triple integral analog of a multiple zeta value (2021)
  3. Ansari, Alireza: Logarithmic functions are eigenfunctions of integral operators with (M)-Wright kernels (2021)
  4. Baddoo, Peter J.; Hajian, Rozhin; Jaworski, Justin W.: Unsteady aerodynamics of porous aerofoils (2021)
  5. Baricz, Árpád; Bisht, Nitin; Singh, Sanjeev; Antony Vijesh, V.: The generalized Marcum function of the second kind: monotonicity patterns and tight bounds (2021)
  6. Baricz, Árpád; Nemes, Gergő: Asymptotic expansions for the radii of starlikeness of normalised Bessel functions (2021)
  7. Barnard, Roger W.; Richards, Kendall C.: A direct proof of Brannan’s conjecture for (\beta= 1) (2021)
  8. Barnett, Alex H.: Aliasing error of the (\exp(\beta\sqrt1-z^2)) kernel in the nonuniform fast Fourier transform (2021)
  9. Bénard, Clément; Biau, Gérard; Da Veiga, Sébastien; Scornet, Erwan: SIRUS: stable and interpretable RUle set for classification (2021)
  10. Boniece, B. Cooper; Didier, Gustavo; Sabzikar, Farzad: Tempered fractional Brownian motion: wavelet estimation, modeling and testing (2021)
  11. Bremer, James; Pang, Qiyuan; Yang, Haizhao: Fast algorithms for the multi-dimensional Jacobi polynomial transform (2021)
  12. Burson, Hannah: Combinatorics of two second-order mock theta functions (2021)
  13. Carrillo, Sergio A.; Hurtado, Miguel: Appell and Sheffer sequences: on their characterizations through functionals and examples (2021)
  14. Chen, Hao; Weber, Matthias: An orthorhombic deformation family of Schwarz’ H surfaces (2021)
  15. Diamantis, Nikolaos; Rolen, Larry: Eichler cohomology and zeros of polynomials associated to derivatives of (L)-functions (2021)
  16. Dilcher, Karl; Jiu, Lin: Orthogonal polynomials and Hankel determinants for certain Bernoulli and Euler polynomials (2021)
  17. Dixit, Atul; Kumar, Rahul: On Hurwitz zeta function and Lommel functions (2021)
  18. Donninger, Roland; Wallauch, David: Blowup behavior for strongly perturbed wave equations (2021)
  19. Eremin, Yuri A.; Fikioris, George; Tsitsas, Nikolaos L.; Wriedt, Thomas: A new method of internal auxiliary source-sinks (MIASS) for two-dimensional interior Dirichlet acoustic problems (2021)
  20. Filatova, Tatiana; Popovic, Nikola; Grima, Ramon: Statistics of nascent and mature RNA fluctuations in a stochastic model of transcriptional initiation, elongation, pausing, and termination (2021)

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