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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; Algorithm 644; Python
Cited in: 4,031 Documents

Standard Articles

4 Publications describing the Software, including 4 Publications in zbMATH Year
Three years of DLMF: web, math and search. Zbl 1390.68750
Miller, Bruce R.
2013
NIST handbook of mathematical functions. Zbl 1198.00002
Olver, Frank W. J. (ed.); Lozier, Daniel W. (ed.); Boisvert, Ronald F. (ed.); Clark, Charles W. (ed.)
2010
NIST digital library of mathematical functions. Zbl 1019.65001
Lozier, Daniel W.
2003
The DLMF project: a new initiative in classical special functions. Zbl 1097.33500
Lozier, Daniel W.
2000
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Cited by 5,128 Authors

39 López, José Luis
34 Gaunt, Robert Edward
32 Baricz, Árpád
32 Paris, Richard Bruce
31 Cohl, Howard Saul
31 Segura, Javier
28 Temme, Nico M.
27 Chu, Yuming
25 Nemes, Gergő
24 Gil, Amparo
23 Qi, Feng
22 Pogány, Tibor K.
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 Dilcher, Karl
17 Frolenkov, Dmitriĭ Andreevich
17 González-Santander, Juan Luis
17 Zhao, Yuqiu
16 Charlier, Christophe
16 Choi, Junesang
16 Dai, Dan
16 Forrester, Peter J.
16 Fukushima, Toshio
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 Ferreira, Chelo
15 Pagola, Pedro J.
15 Parmar, Rakesh Kumar
14 Chen, Yang
14 Dixit, Atul
14 Dunster, T. M.
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 Luo, Minjie
13 Wang, Haiyong
13 Wong, Roderick Sue-Chuen
12 Barnett, Alex H.
12 Ciaurri, Óscar
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 Schubotz, Moritz
11 Zhao, Tiehong
10 Agarwal, Praveen
10 Brauchart, Johann S.
10 Chen, Le
10 Deaño, Alfredo
10 Donninger, Roland
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 Srivastava, Hari Mohan
10 Toranzo, Irene V.
10 Womersley, Robert S.
10 Zelaya, Kevin
9 Biham, Ofer
9 Bringmann, Kathrin
9 Clarkson, Peter A.
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
9 Rathie, Arjun Kumar
9 Rolen, Larry
9 Straub, Armin
9 Youssef, Abdou S.
...and 5,028 more Authors
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Cited in 605 Serials

185 Journal of High Energy Physics
135 Journal of Physics A: Mathematical and Theoretical
123 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
54 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
46 Constructive Approximation
46 Annals of Physics
41 Journal of Statistical Mechanics: Theory and Experiment
39 Classical and Quantum Gravity
39 Mathematics of Computation
38 Journal of Cosmology and Astroparticle Physics
36 Journal of Fluid Mechanics
36 Numerical Algorithms
35 Journal of Statistical Physics
35 Nonlinearity
32 Journal of Differential Equations
31 Studies in Applied Mathematics
30 Results in Mathematics
30 SIAM Journal on Applied Mathematics
29 Analysis and Applications (Singapore)
28 Advances in Mathematics
28 Journal of Scientific Computing
28 SIAM Journal on Scientific Computing
28 Journal of Classical Analysis
27 Physica D
27 Advances in Computational Mathematics
25 Mathematical Methods in the Applied Sciences
25 Annales Henri Poincaré
24 Nuclear Physics. B
24 Journal of Number Theory
24 Random Matrices: Theory and Applications
23 Transactions of the American Mathematical Society
23 Statistics & Probability Letters
21 Journal of Functional Analysis
21 Numerische Mathematik
21 SIAM Journal on Numerical Analysis
20 SIAM Journal on Mathematical Analysis
20 Electronic Journal of Probability
19 Computer Physics Communications
19 Wave Motion
19 Applied and Computational Harmonic Analysis
18 Physics Letters. B
18 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
18 Research in Number Theory
17 Mathematical Inequalities & Applications
17 Communications in Nonlinear Science and Numerical Simulation
16 Inverse Problems
16 Physics Letters. A
16 Journal of Nonlinear Science
15 Stochastic Processes and their Applications
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
14 Journal of Mathematical Inequalities
13 ACM Transactions on Mathematical Software
13 Mathematische Annalen
13 Integers
13 International Journal of Number Theory
12 European Journal of Physics
12 Journal of Theoretical Probability
12 Journal of Inequalities and Applications
12 Electronic Journal of Statistics
11 Computers & Mathematics with Applications
11 Physica A
11 Linear Algebra and its Applications
11 Journal of Difference Equations and Applications
11 Discrete and Continuous Dynamical Systems
11 The Journal of Fourier Analysis and Applications
11 Lobachevskii Journal of Mathematics
11 Computational Methods and Function Theory
10 Archive for Rational Mechanics and Analysis
10 Journal of Engineering Mathematics
10 SIAM Review
10 Journal of Mathematical Sciences (New York)
10 Turkish Journal of Mathematics
10 Journal of Integer Sequences
10 Foundations of Computational Mathematics
10 Advances in Difference Equations
10 Research in the Mathematical Sciences
9 Modern Physics Letters A
9 American Mathematical Monthly
9 Mathematical Notes
9 ZAMP. Zeitschrift für angewandte Mathematik und Physik
9 BIT
9 Integral Equations and Operator Theory
9 Advances in Applied Mathematics
9 Applied Mathematical Modelling
9 SIAM Journal on Applied Dynamical Systems
9 Mediterranean Journal of Mathematics
9 Analysis and Mathematical Physics
...and 505 more Serials
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Cited in 61 Fields

1,188 Special functions (33-XX)
700 Partial differential equations (35-XX)
607 Numerical analysis (65-XX)
603 Quantum theory (81-XX)
528 Probability theory and stochastic processes (60-XX)
422 Number theory (11-XX)
355 Ordinary differential equations (34-XX)
323 Approximations and expansions (41-XX)
253 Real functions (26-XX)
253 Relativity and gravitational theory (83-XX)
245 Statistical mechanics, structure of matter (82-XX)
241 Statistics (62-XX)
237 Harmonic analysis on Euclidean spaces (42-XX)
195 Functions of a complex variable (30-XX)
176 Combinatorics (05-XX)
166 Fluid mechanics (76-XX)
160 Linear and multilinear algebra; matrix theory (15-XX)
144 Dynamical systems and ergodic theory (37-XX)
136 Integral transforms, operational calculus (44-XX)
135 Operator theory (47-XX)
124 Computer science (68-XX)
120 Optics, electromagnetic theory (78-XX)
96 Mechanics of deformable solids (74-XX)
76 Mechanics of particles and systems (70-XX)
72 Differential geometry (53-XX)
72 Biology and other natural sciences (92-XX)
66 Integral equations (45-XX)
64 Difference and functional equations (39-XX)
64 Global analysis, analysis on manifolds (58-XX)
62 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
57 Information and communication theory, circuits (94-XX)
56 Potential theory (31-XX)
50 Sequences, series, summability (40-XX)
48 Functional analysis (46-XX)
42 Algebraic geometry (14-XX)
35 Systems theory; control (93-XX)
34 Classical thermodynamics, heat transfer (80-XX)
30 Operations research, mathematical programming (90-XX)
27 Topological groups, Lie groups (22-XX)
27 Astronomy and astrophysics (85-XX)
22 Calculus of variations and optimal control; optimization (49-XX)
22 Geophysics (86-XX)
20 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 Manifolds and cell complexes (57-XX)
9 History and biography (01-XX)
9 Field theory and polynomials (12-XX)
8 Associative rings and algebras (16-XX)
8 \(K\)-theory (19-XX)
7 General and overarching topics; collections (00-XX)
6 Commutative algebra (13-XX)
5 Mathematical logic and foundations (03-XX)
5 Mathematics education (97-XX)
3 Algebraic topology (55-XX)
2 General topology (54-XX)
1 General algebraic systems (08-XX)

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