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; Matlab; OEIS; GitHub; Chebfun; Maple; OPQ; R; SageMath; mctoolbox; Equator; Julia; Arb; FastGaussQuadrature; SciPy; Wolfram Functions Site; mpmath; ore_algebra; Python; Algorithm 644 Cited in: 4,117 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 5,215 Authors 39 López, José Luis 35 Gaunt, Robert Edward 32 Baricz, Árpád 32 Cohl, Howard Saul 32 Paris, Richard Bruce 31 Segura, Javier 28 Temme, Nico M. 27 Chu, Yuming 25 Nemes, Gergő 24 Gil, Amparo 23 Pogány, Tibor K. 23 Qi, Feng 22 Vignat, Christophe 21 Janson, Svante 20 Akemann, Gernot 20 Neuman, Edward 19 Olver, Sheehan Shakiban 19 Pérez Sinusía, Ester 19 Xu, Shuaixia 18 Townsend, Alex 18 Wang, Miaokun 18 Zhang, Lun 17 Borwein, Jonathan Michael 17 Charlier, Christophe 17 Dilcher, Karl 17 Frolenkov, Dmitriĭ Andreevich 17 González-Santander, Juan Luis 17 Zhao, Yuqiu 16 Choi, Junesang 16 Dai, Dan 16 Dixit, Atul 16 Forrester, Peter J. 16 Fukushima, Toshio 16 Parmar, Rakesh Kumar 16 Van Assche, Walter 16 Varona Malumbres, Juan Luis 15 Balkanova, Ol’ga Germanovna 15 Byun, Sung-Soo 15 Dehesa, Jesús S. 15 Dominici, Diego Ernesto 15 Dunster, T. M. 15 Ferreira, Chelo 15 Luo, Minjie 15 Pagola, Pedro J. 14 Chen, Yang 14 Ishkhanyan, Artur Michaĭlovich 14 Karp, Dmitriĭ Borisovich 14 Miller, Peter D. 14 Volkmer, Hans W. 13 Bothner, Thomas 13 Boyd, John Philip 13 Lenells, Jonatan 13 Wang, Haiyong 13 Wong, Roderick Sue-Chuen 12 Barnett, Alex H. 12 Ciaurri, Óscar 12 Schubotz, Moritz 12 Sooppy Nisar, Kottakkaran 12 Teschl, Gerald 12 Trogdon, Thomas 12 Yakubovich, Semyon B. 11 Biondini, Gino 11 Deconinck, Bernard 11 Fornberg, Bengt 11 Galkowski, Jeffrey 11 Katzav, Eytan 11 Srivastava, Hari Mohan 11 Womersley, Robert S. 11 Zhao, Tiehong 10 Agarwal, Praveen 10 Brauchart, Johann S. 10 Chen, Le 10 Deaño, Alfredo 10 Donninger, Roland 10 Fermi, Davide 10 Jankov Maširević, Dragana 10 Jiang, Shidong 10 Jiu, Lin 10 Li, Yutian 10 Moll, Victor Hugo 10 Porcu, Emilio 10 Qiu, Songliang 10 Schmidt, Maxie Dion 10 Singh, Sanjeev 10 Toranzo, Irene V. 10 Youssef, Abdou S. 10 Zelaya, Kevin 9 Berry, Michael 9 Biham, Ofer 9 Bringmann, Kathrin 9 Clarkson, Peter A. 9 Gesztesy, Fritz 9 Greengard, Leslie F. 9 Kieburg, Mario 9 Kuijlaars, Arno B. J. 9 Maji, Bibekananda 9 Milgram, Michael S. 9 Milovanović, Gradimir V. 9 Penson, Karol A. 9 Raina, Ravinder Krishna ...and 5,115 more Authors all top 5 Cited in 609 Serials 195 Journal of High Energy Physics 138 Journal of Physics A: Mathematical and Theoretical 129 Journal of Mathematical Analysis and Applications 99 Journal of Mathematical Physics 82 Integral Transforms and Special Functions 66 Applied Mathematics and Computation 59 Communications in Mathematical Physics 55 The Ramanujan Journal 53 Journal of Computational Physics 52 Journal of Approximation Theory 52 Journal of Computational and Applied Mathematics 49 Proceedings of the American Mathematical Society 47 Journal of Statistical Mechanics: Theory and Experiment 46 Constructive Approximation 46 Annals of Physics 42 Mathematics of Computation 39 Classical and Quantum Gravity 38 Journal of Cosmology and Astroparticle Physics 37 Journal of Statistical Physics 37 Nonlinearity 37 Numerical Algorithms 36 Journal of Fluid Mechanics 32 Journal of Differential Equations 31 Results in Mathematics 31 Studies in Applied Mathematics 30 SIAM Journal on Applied Mathematics 29 Advances in Mathematics 29 Journal of Scientific Computing 29 Analysis and Applications (Singapore) 28 SIAM Journal on Scientific Computing 28 Advances in Computational Mathematics 28 Journal of Classical Analysis 27 Physica D 26 Annales Henri Poincaré 25 Mathematical Methods in the Applied Sciences 25 Journal of Number Theory 24 Nuclear Physics. 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Zeitschrift für angewandte Mathematik und Physik 9 BIT 9 Journal of Applied Probability 9 Applied Mathematical Modelling 9 Chaos 9 SIAM Journal on Applied Dynamical Systems ...and 509 more Serials all top 5 Cited in 61 Fields 1,209 Special functions (33-XX) 716 Partial differential equations (35-XX) 618 Numerical analysis (65-XX) 614 Quantum theory (81-XX) 537 Probability theory and stochastic processes (60-XX) 429 Number theory (11-XX) 360 Ordinary differential equations (34-XX) 336 Approximations and expansions (41-XX) 261 Real functions (26-XX) 261 Relativity and gravitational theory (83-XX) 248 Statistical mechanics, structure of matter (82-XX) 245 Statistics (62-XX) 242 Harmonic analysis on Euclidean spaces (42-XX) 200 Functions of a complex variable (30-XX) 179 Combinatorics (05-XX) 167 Fluid mechanics (76-XX) 162 Linear and multilinear algebra; matrix theory (15-XX) 145 Dynamical systems and ergodic theory (37-XX) 142 Integral transforms, operational calculus (44-XX) 141 Operator theory (47-XX) 128 Computer science (68-XX) 122 Optics, electromagnetic theory (78-XX) 98 Mechanics of deformable solids (74-XX) 76 Mechanics of particles and systems (70-XX) 74 Biology and other natural sciences (92-XX) 73 Differential geometry (53-XX) 69 Global analysis, analysis on manifolds (58-XX) 68 Integral equations (45-XX) 65 Difference and functional equations (39-XX) 62 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 57 Information and communication theory, circuits (94-XX) 55 Potential theory (31-XX) 52 Functional analysis (46-XX) 50 Sequences, series, summability (40-XX) 43 Algebraic geometry (14-XX) 35 Systems theory; control (93-XX) 34 Classical thermodynamics, heat transfer (80-XX) 32 Operations research, mathematical programming (90-XX) 28 Astronomy and astrophysics (85-XX) 27 Topological groups, Lie groups (22-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 22 Geophysics (86-XX) 21 Abstract harmonic analysis (43-XX) 19 Convex and discrete geometry (52-XX) 18 Several complex variables and analytic spaces (32-XX) 17 Measure and integration (28-XX) 16 Nonassociative rings and algebras (17-XX) 15 Geometry (51-XX) 13 Group theory and generalizations (20-XX) 11 Field theory and polynomials (12-XX) 11 Manifolds and cell complexes (57-XX) 9 History and biography (01-XX) 8 Associative rings and algebras (16-XX) 8 \(K\)-theory (19-XX) 7 General and overarching topics; collections (00-XX) 6 Mathematical logic and foundations (03-XX) 6 Commutative algebra (13-XX) 5 Mathematics education (97-XX) 3 Algebraic topology (55-XX) 2 General topology (54-XX) 1 General algebraic systems (08-XX) Citations by Year