DLMF swMATH ID: 4968 Software Authors: Lozier, Daniel W. Description: 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. Homepage: http://dlmf.nist.gov/ Keywords: mathematical formulas; special functions; handbook; digital library of mathematical functions; knowledge management; web site; methods of computation; computer algebra systems Related Software: Mathematica; OEIS; Matlab; Chebfun; GitHub; OPQ; Maple; SageMath; R; Arb; mctoolbox; Equator; Julia; FastGaussQuadrature; Wolfram Functions Site; mpmath; LaTeX; Algorithm 644; Differentiation Matrix Suite; LMFDB Cited in: 3,364 Documents Standard Articles 4 Publications describing the Software, including 4 Publications in zbMATH Year Three years of DLMF: web, math and search. Zbl 1390.68750Miller, Bruce R. 2013 NIST handbook of mathematical functions. Zbl 1198.00002Olver, Frank W. J. (ed.); Lozier, Daniel W. (ed.); Boisvert, Ronald F. (ed.); Clark, Charles W. (ed.) 2010 NIST digital library of mathematical functions. Zbl 1019.65001Lozier, Daniel W. 2003 The DLMF project: a new initiative in classical special functions. Zbl 1097.33500Lozier, Daniel W. 2000 all top 5 Cited by 4,319 Authors 37 López, José Luis 31 Paris, Richard Bruce 30 Baricz, Árpád 29 Cohl, Howard Saul 29 Gaunt, Robert Edward 27 Segura, Javier 26 Chu, Yuming 25 Temme, Nico M. 23 Nemes, Gergő 22 Qi, Feng 20 Gil, Amparo 20 Neuman, Edward 20 Vignat, Christophe 18 Townsend, Alex 17 Borwein, Jonathan Michael 17 Olver, Sheehan Shakiban 17 Pérez Sinusía, Ester 17 Zhang, Lun 16 Dilcher, Karl 16 Fukushima, Toshio 16 Janson, Svante 16 Pogány, Tibor K. 16 Wang, Miaokun 16 Xu, Shuaixia 15 Akemann, Gernot 15 Dai, Dan 15 Frolenkov, Dmitriĭ Andreevich 15 González-Santander, Juan Luis 15 Pagola, Pedro J. 14 Choi, Junesang 14 Van Assche, Walter 14 Zhao, Yuqiu 13 Boyd, John Philip 13 Dixit, Atul 13 Ferreira, Chelo 13 Forrester, Peter J. 13 Karp, Dmitriĭ Borisovich 13 Luo, Minjie 13 Wong, Roderick Sue-Chuen 12 Balkanova, Ol’ga Germanovna 12 Chen, Yang 12 Ciaurri, Óscar 12 Dehesa, Jesús S. 12 Dominici, Diego Ernesto 12 Ishkhanyan, Artur Michaĭlovich 12 Parmar, Rakesh Kumar 12 Sooppy Nisar, Kottakkaran 12 Teschl, Gerald 12 Volkmer, Hans 11 Deconinck, Bernard 11 Dunster, T. M. 11 Varona Malumbres, Juan Luis 11 Wang, Haiyong 10 Barnett, Alex H. 10 Bothner, Thomas 10 Charlier, Christophe 10 Deaño, Alfredo 10 Fornberg, Bengt 10 Lenells, Jonatan 10 Miller, Peter D. 10 Moll, Victor Hugo 10 Qiu, Songliang 10 Schmidt, Maxie Dion 10 Schubotz, Moritz 10 Srivastava, Hari Mohan 10 Toranzo, Irene V. 10 Womersley, Robert S. 10 Yakubovich, Semyon B. 9 Brauchart, Johann S. 9 Bringmann, Kathrin 9 Donninger, Roland 9 Galkowski, Jeffrey 9 Jiang, Shidong 9 Jiu, Lin 9 Raina, Ravinder Krishna 9 Singh, Sanjeev 9 Straub, Armin 9 Trogdon, Thomas 9 Youssef, Abdou S. 9 Zhao, Tiehong 8 Agarwal, Praveen 8 Berry, Michael Victor 8 Biondini, Gino 8 Bremer, James C. 8 Byun, Sung-Soo 8 Chen, Le 8 Greengard, Leslie F. 8 Guo, Bai-Ni 8 Kuijlaars, Arno B. J. 8 Li, Yutian 8 O’Neil, Michael 8 Penson, Karol A. 8 Sidi, Avram 8 Štampach, František 8 Wang, Lilian 7 Amdeberhan, Tewodros 7 Bailey, David Harold 7 Celeghini, Enrico 7 Claeys, Tom 7 del Olmo, Mariano A. ...and 4,219 more Authors all top 5 Cited in 556 Serials 164 Journal of High Energy Physics 116 Journal of Mathematical Analysis and Applications 89 Journal of Mathematical Physics 73 Integral Transforms and Special Functions 65 Applied Mathematics and Computation 53 Communications in Mathematical Physics 50 Journal of Approximation Theory 50 Journal of Physics A: Mathematical and Theoretical 48 Journal of Computational and Applied Mathematics 48 The Ramanujan Journal 45 Journal of Computational Physics 42 Proceedings of the American Mathematical Society 40 Annals of Physics 36 Journal of Statistical Mechanics: Theory and Experiment 35 Constructive Approximation 34 Journal of Statistical Physics 34 Mathematics of Computation 32 Journal of Fluid Mechanics 28 Numerical Algorithms 28 Analysis and Applications (Singapore) 27 SIAM Journal on Scientific Computing 27 Journal of Classical Analysis 26 Classical and Quantum Gravity 26 Journal of Differential Equations 26 Results in Mathematics 25 Nonlinearity 24 Advances in Computational Mathematics 23 Journal of Scientific Computing 23 Annales Henri Poincaré 23 Journal of Cosmology and Astroparticle Physics 22 Advances in Mathematics 22 Physica D 22 SIAM Journal on Applied Mathematics 21 Nuclear Physics. 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Symmetry, Integrability and Geometry: Methods and Applications 10 Physica A 10 Journal of Mathematical Sciences (New York) 10 Foundations of Computational Mathematics 10 Advances in Difference Equations 9 Modern Physics Letters A 9 Archive for Rational Mechanics and Analysis 9 European Journal of Physics 9 Journal of Engineering Mathematics 9 Mathematical Methods in the Applied Sciences 9 Integral Equations and Operator Theory 9 Mathematische Annalen 9 Applied Mathematical Modelling 9 Turkish Journal of Mathematics 9 Journal of Difference Equations and Applications 9 Computational Methods and Function Theory 9 Mediterranean Journal of Mathematics 9 Electronic Journal of Statistics 9 Analysis and Mathematical Physics 8 Computers & Mathematics with Applications 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Journal of Applied Probability 8 Journal of Theoretical Probability 8 SIAM Review 8 Journal of Integer Sequences 8 SIAM Journal on Applied Dynamical Systems 8 Mathematics in Computer Science 8 Research in the Mathematical Sciences 7 Acta Mechanica 7 American Mathematical Monthly 7 Mathematical Notes ...and 456 more Serials all top 5 Cited in 60 Fields 1,016 Special functions (33-XX) 560 Partial differential equations (35-XX) 525 Numerical analysis (65-XX) 479 Quantum theory (81-XX) 418 Probability theory and stochastic processes (60-XX) 354 Number theory (11-XX) 282 Ordinary differential equations (34-XX) 271 Approximations and expansions (41-XX) 214 Real functions (26-XX) 204 Relativity and gravitational theory (83-XX) 199 Harmonic analysis on Euclidean spaces (42-XX) 197 Statistics (62-XX) 187 Statistical mechanics, structure of matter (82-XX) 171 Functions of a complex variable (30-XX) 141 Combinatorics (05-XX) 135 Linear and multilinear algebra; matrix theory (15-XX) 132 Fluid mechanics (76-XX) 110 Integral transforms, operational calculus (44-XX) 106 Dynamical systems and ergodic theory (37-XX) 105 Operator theory (47-XX) 105 Computer science (68-XX) 94 Optics, electromagnetic theory (78-XX) 82 Mechanics of deformable solids (74-XX) 62 Differential geometry (53-XX) 57 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 57 Biology and other natural sciences (92-XX) 55 Integral equations (45-XX) 54 Mechanics of particles and systems (70-XX) 52 Global analysis, analysis on manifolds (58-XX) 49 Difference and functional equations (39-XX) 47 Potential theory (31-XX) 47 Information and communication theory, circuits (94-XX) 41 Functional analysis (46-XX) 37 Sequences, series, summability (40-XX) 29 Systems theory; control (93-XX) 28 Algebraic geometry (14-XX) 26 Classical thermodynamics, heat transfer (80-XX) 23 Operations research, mathematical programming (90-XX) 21 Topological groups, Lie groups (22-XX) 19 Geophysics (86-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 17 Convex and discrete geometry (52-XX) 17 Astronomy and astrophysics (85-XX) 15 Several complex variables and analytic spaces (32-XX) 14 Nonassociative rings and algebras (17-XX) 13 Group theory and generalizations (20-XX) 13 Measure and integration (28-XX) 13 Abstract harmonic analysis (43-XX) 13 Geometry (51-XX) 9 Manifolds and cell complexes (57-XX) 8 General and overarching topics; collections (00-XX) 8 History and biography (01-XX) 6 Associative rings and algebras (16-XX) 6 \(K\)-theory (19-XX) 5 Mathematical logic and foundations (03-XX) 5 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Mathematics education (97-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) Citations by Year