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
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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
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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
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35 Constructive Approximation
34 Journal of Statistical Physics
34 Mathematics of Computation
32 Journal of Fluid Mechanics
28 Numerical Algorithms
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18 Transactions of the American Mathematical Society
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17 Research in Number Theory
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16 Electronic Journal of Probability
16 Mathematical Inequalities & Applications
15 Communications in Nonlinear Science and Numerical Simulation
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14 Studies in Applied Mathematics
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14 SIAM Journal on Mathematical Analysis
14 Stochastic Processes and their Applications
14 Fractional Calculus & Applied Analysis
14 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
13 General Relativity and Gravitation
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12 Inverse Problems
12 ACM Transactions on Mathematical Software
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10 Physica A
10 Journal of Mathematical Sciences (New York)
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9 Modern Physics Letters A
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9 Mediterranean Journal of Mathematics
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8 Mathematics in Computer Science
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7 Acta Mechanica
7 American Mathematical Monthly
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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)
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55 Integral equations (45-XX)
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49 Difference and functional equations (39-XX)
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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)
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19 Geophysics (86-XX)
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5 Field theory and polynomials (12-XX)
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3 Mathematics education (97-XX)
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