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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
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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
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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
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30 SIAM Journal on Applied Mathematics
29 Advances in Mathematics
29 Journal of Scientific Computing
29 Analysis and Applications (Singapore)
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28 Advances in Computational Mathematics
28 Journal of Classical Analysis
27 Physica D
26 Annales Henri Poincaré
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25 Journal of Number Theory
24 Nuclear Physics. B
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23 Transactions of the American Mathematical Society
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21 Journal of Functional Analysis
21 Numerische Mathematik
21 SIAM Journal on Numerical Analysis
21 SIAM Journal on Mathematical Analysis
20 Electronic Journal of Probability
19 Computer Physics Communications
19 Wave Motion
19 Applied and Computational Harmonic Analysis
19 Mathematical Inequalities & Applications
19 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
18 Physics Letters. B
18 Research in Number Theory
17 Physics Letters. A
17 Communications in Nonlinear Science and Numerical Simulation
16 Inverse Problems
16 Journal of Nonlinear Science
15 Stochastic Processes and their Applications
15 Journal of Mathematical Inequalities
15 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
14 General Relativity and Gravitation
14 Letters in Mathematical Physics
14 Applied Numerical Mathematics
14 Communications in Statistics. Theory and Methods
14 Fractional Calculus & Applied Analysis
13 ACM Transactions on Mathematical Software
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13 Integers
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12 European Journal of Physics
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12 Computational Methods and Function Theory
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9 Modern Physics Letters A
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9 ZAMP. 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
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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)
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24 Calculus of variations and optimal control; optimization (49-XX)
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6 Commutative algebra (13-XX)
5 Mathematics education (97-XX)
3 Algebraic topology (55-XX)
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1 General algebraic systems (08-XX)

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