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. Florentin, Dan I.; Segal, Alexander: A Santaló-type inequality for the (\mathcalJ) transform (2021)
  2. Fujiié, S.; Martinez, A.; Watanabe, T.: Widths of resonances above an energy-level crossing (2021)
  3. Gaunt, Robert E.; Merkle, Milan: On bounds for the mode and median of the generalized hyperbolic and related distributions (2021)
  4. Gil, A.; Segura, J.; Temme, N. M.: Asymptotic expansions of Jacobi polynomials and of the nodes and weights of Gauss-Jacobi quadrature for large degree and parameters in terms of elementary functions (2021)
  5. Goh, Say Song; Goodman, Tim N. T.; Lee, S. L.: Orthogonal polynomials, biorthogonal polynomials and spline functions (2021)
  6. Janson, Svante: On the probability that a binomial variable is at most its expectation (2021)
  7. Kalantarova, Habiba V.; Novick-Cohen, Amy: Self-similar grooving solutions to the Mullins’ equation (2021)
  8. Kayijuka, I.; Ege, Ş. M.; Konuralp, A.; Topal, F. S.: Clenshaw-Curtis algorithms for an efficient numerical approximation of singular and highly oscillatory Fourier transform integrals (2021)
  9. Langowski, Bartosz; Nowak, Adam: Mapping properties of fundamental harmonic analysis operators in the exotic Bessel framework (2021)
  10. López, José L.; Palacios, Pablo; Pagola, Pedro J.: Uniform convergent expansions of integral transforms (2021)
  11. Magnus, Alphonse P.; Ndayiragije, François; Ronveaux, André: About families of orthogonal polynomials satisfying Heun’s differential equation (2021)
  12. Massé, A.; Sommen, F.; De Ridder, H.; Raeymaekers, T.: Discrete Weierstrass transform in discrete Hermitian Clifford analysis (2021)
  13. Ma, Xiao-Yan; Qiu, Song-Liang; Jiang, Hong-Biao: Monotonicity theorems and inequalities for the Hübner function with applications (2021)
  14. Melikdzhanian, D. Yu.; Ishkhanyan, A. M.: A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations (2021)
  15. Mendl, Christian B.; Bornemann, Folkmar: Efficient numerical evaluation of thermodynamic quantities on infinite (semi-)classical chains (2021)
  16. Nakatsukasa, Yuji; Townsend, Alex: Error localization of best (L_1) polynomial approximants (2021)
  17. Nasser, Mohamed M. S.; Vuorinen, Matti: Computation of conformal invariants (2021)
  18. Nemes, Gergő: On the Borel summability of WKB solutions of certain Schrödinger-type differential equations (2021)
  19. Oliveira de Silva, Diogo; Quilodrán, René: Global maximizers for adjoint Fourier restriction inequalities on low dimensional spheres (2021)
  20. Pakes, Anthony G.: Affine relation between an infinitely divisible distribution function and its Lévy measure (2021)