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. Batle, Josep; Ciftja, Orion; Pogány, Tibor K.: Hypergeometric solutions for Coulomb self-energy model of uniformly charged hollow cylinder (2019)
  2. Belkić, Dževad: All the trinomial roots, their powers and logarithms from the Lambert series, Bell polynomials and Fox-Wright function: illustration for genome multiplicity in survival of irradiated cells (2019)
  3. Beylkin, Gregory; Monzón, Lucas; Satkauskas, Ignas: On computing distributions of products of non-negative independent random variables (2019)
  4. Bremer, James: An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments (2019)
  5. Brizard, Alain J.: Comment on “Exact solutions and singularities of an X-point collapse in Hall magnetohydrodynamics” (2019)
  6. Bujanda, Blanca; López, José L.; Pagola, Pedro J.: Convergent expansions of the confluent hypergeometric functions in terms of elementary functions (2019)
  7. Campos-Pinto, Martin; Charles, Frédérique; Després, Bruno: Algorithms for positive polynomial approximation (2019)
  8. Chatzikaleas, Athanasios; Donninger, Roland: Stable blowup for the cubic wave equation in higher dimensions (2019)
  9. Chen, Chao-Ping; Paris, Richard B.: Inequalities and asymptotic expansions related to the volume of the unit ball in (\mathbbR^n) (2019)
  10. Choi, Junesang; Nisar, Kottakkaran Sooppy: Certain families of integral formulas involving Struve functions (2019)
  11. Cotăescu, Ion I.: Propagators of the Dirac fermions on spatially flat FLRW space-times (2019)
  12. Crews, Madeline; Jones, Brant; Myers, Kaitlyn; Taalman, Laura; Urbanski, Michael; Wilson, Breeann: Opportunity costs in the game of best choice (2019)
  13. Dai, Dan; Ismail, Mourad E. H.; Wang, Xiang-Sheng: Doubly infinite Jacobi matrices revisited: resolvent and spectral measure (2019)
  14. Dar, S. A.; Paris, R. B.: A ((p, q))-extension of Srivastava’s triple hypergeometric function (H_B) and its properties (2019)
  15. Estrada-Rodriguez, Gissell; Gimperlein, Heiko; Painter, Kevin J.; Stocek, Jakub: Space-time fractional diffusion in cell movement models with delay (2019)
  16. Fejzullahu, Bujar X.: Partial fraction expansion of the hypergeometric functions (2019)
  17. Feng, Runhuan; Kuznetsov, Alexey; Yang, Fenghao: Exponential functionals of Lévy processes and variable annuity guaranteed benefits (2019)
  18. Fleeman, Matthew; Frymark, Dale; Liaw, Constanze: Boundary conditions associated with the general left-definite theory for differential operators (2019)
  19. Gaunt, Robert E.: Stein operators for variables form the third and fourth Wiener chaoses (2019)
  20. Gaunt, Robert E.: Inequalities for integrals of the modified Struve function of the first kind. II. (2019)

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