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; Chebfun; GitHub; Maple; OPQ; R; SageMath; mctoolbox; Equator; FastGaussQuadrature; Arb; Julia; LaTeX; Algorithm 644; Wolfram Functions Site; SumTools; gfun; LaTeXML
Referenced in: 2,885 Publications
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Referenced by 3,647 Authors

33 López, José Luis
29 Baricz, Árpád
28 Paris, Richard Bruce
27 Gaunt, Robert Edward
25 Segura, Javier
24 Chu, Yuming
22 Cohl, Howard Saul
22 Nemes, Gergő
22 Temme, Nico M.
20 Neuman, Edward
18 Vignat, Christophe
17 Borwein, Jonathan Michael
17 Qi, Feng
17 Townsend, Alex
16 Fukushima, Toshio
15 Dilcher, Karl
15 Gil, Amparo
15 Janson, Svante
15 Olver, Sheehan Shakiban
15 Pogány, Tibor K.
15 Zhang, Lun
14 Dai, Dan
14 Frolenkov, Dmitriĭ Andreevich
14 Pagola, Pedro J.
14 Pérez Sinusía, Ester
14 Van Assche, Walter
14 Xu, Shuaixia
13 Choi, Junesang
13 Dixit, Atul
13 González-Santander, Juan Luis
13 Luo, Minjie
12 Akemann, Gernot
12 Boyd, John Philip
12 Ishkhanyan, Artur Michaĭlovich
12 Karp, Dmitriĭ Borisovich
12 Sooppy Nisar, Kottakkaran
12 Teschl, Gerald
12 Zhao, Yuqiu
11 Balkanova, Ol’ga Germanovna
11 Ciaurri, Óscar
11 Deconinck, Bernard
11 Dehesa, Jesús S.
11 Dunster, T. M.
11 Parmar, Rakesh Kumar
11 Wong, Roderick Sue-Chuen
10 Barnett, Alex H.
10 Dominici, Diego Ernesto
10 Ferreira, Chelo
10 Forrester, Peter J.
10 Moll, Victor Hugo
10 Schmidt, Maxie Dion
10 Srivastava, Hari Mohan
10 Toranzo, Irene V.
10 Wang, Miaokun
9 Bothner, Thomas
9 Brauchart, Johann S.
9 Deaño, Alfredo
9 Donninger, Roland
9 Fornberg, Bengt
9 Qiu, Songliang
9 Raina, Ravinder Krishna
9 Schubotz, Moritz
9 Straub, Armin
9 Trogdon, Thomas
9 Varona Malumbres, Juan Luis
9 Volkmer, Hans
9 Wang, Haiyong
9 Yakubovich, Semyon B.
9 Youssef, Abdou S.
8 Bremer, James C.
8 Bringmann, Kathrin
8 Charlier, Christophe
8 Chen, Le
8 Guo, Bai-Ni
8 Jiang, Shidong
8 Jiu, Lin
8 Kuijlaars, Arno B. J.
8 Lenells, Jonatan
8 Miller, Peter D.
8 O’Neil, Michael
8 Sidi, Avram
7 Agarwal, Praveen
7 Amdeberhan, Tewodros
7 Bailey, David Harold
7 Celeghini, Enrico
7 del Olmo, Mariano A.
7 Galkowski, Jeffrey
7 Greengard, Leslie F.
7 Jankov Maširević, Dragana
7 Kostenko, Aleksey S.
7 Penson, Karol A.
7 Pizzocchero, Livio
7 Ponnusamy, Saminathan
7 Singh, Sanjeev-Kumar
7 Štampach, František
7 Szasz, Robert Zoltan
6 af Klinteberg, Ludvig
6 Area, Iván
6 Berry, Michael Victor
6 Biondini, Gino
...and 3,547 more Authors
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Referenced in 516 Serials

108 Journal of High Energy Physics
100 Journal of Mathematical Analysis and Applications
77 Journal of Mathematical Physics
65 Applied Mathematics and Computation
64 Integral Transforms and Special Functions
48 Journal of Approximation Theory
43 Communications in Mathematical Physics
43 Journal of Computational Physics
40 Journal of Computational and Applied Mathematics
40 The Ramanujan Journal
38 Proceedings of the American Mathematical Society
37 Journal of Physics A: Mathematical and Theoretical
36 Annals of Physics
36 Journal of Statistical Mechanics: Theory and Experiment
31 Journal of Statistical Physics
31 Mathematics of Computation
31 Constructive Approximation
28 Journal of Fluid Mechanics
27 SIAM Journal on Scientific Computing
26 Analysis and Applications (Singapore)
25 Classical and Quantum Gravity
24 Results in Mathematics
24 Journal of Classical Analysis
23 Numerical Algorithms
22 Nonlinearity
22 Journal of Cosmology and Astroparticle Physics
21 Journal of Scientific Computing
21 Advances in Computational Mathematics
20 Nuclear Physics. B
20 SIAM Journal on Applied Mathematics
19 Journal of Differential Equations
19 Numerische Mathematik
18 Physica D
18 Annales Henri Poincaré
17 Journal of Number Theory
17 SIAM Journal on Numerical Analysis
17 Applied and Computational Harmonic Analysis
17 Random Matrices: Theory and Applications
17 Research in Number Theory
16 Statistics & Probability Letters
15 Journal of Functional Analysis
14 Physics Letters. B
14 Wave Motion
14 Advances in Mathematics
14 Studies in Applied Mathematics
14 Mathematical Inequalities & Applications
13 Physics Letters. A
13 Transactions of the American Mathematical Society
13 Stochastic Processes and their Applications
12 Inverse Problems
12 ACM Transactions on Mathematical Software
12 Communications in Statistics. Theory and Methods
12 SIAM Journal on Mathematical Analysis
12 Electronic Journal of Probability
12 Journal of Inequalities and Applications
12 Communications in Nonlinear Science and Numerical Simulation
11 Linear Algebra and its Applications
11 Journal of Nonlinear Science
11 Fractional Calculus & Applied Analysis
11 Integers
11 International Journal of Number Theory
11 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
10 Computer Physics Communications
10 General Relativity and Gravitation
10 Applied Numerical Mathematics
10 Discrete and Continuous Dynamical Systems
10 Advances in Difference Equations
10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
9 Modern Physics Letters A
9 Journal of Engineering Mathematics
9 Letters in Mathematical Physics
9 Mathematical Methods in the Applied Sciences
9 Journal of Difference Equations and Applications
9 The Journal of Fourier Analysis and Applications
9 Foundations of Computational Mathematics
9 Computational Methods and Function Theory
9 Journal of Mathematical Inequalities
9 Electronic Journal of Statistics
8 Computers & Mathematics with Applications
8 Physica A
8 Integral Equations and Operator Theory
8 Applied Mathematical Modelling
8 Journal of Mathematical Sciences (New York)
8 Journal of Integer Sequences
8 Mathematics in Computer Science
7 American Mathematical Monthly
7 Archive for Rational Mechanics and Analysis
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Journal of Theoretical Probability
7 Aequationes Mathematicae
7 Communications in Partial Differential Equations
7 SIAM Review
7 Turkish Journal of Mathematics
7 Lobachevskii Journal of Mathematics
7 SIAM Journal on Applied Dynamical Systems
7 Mediterranean Journal of Mathematics
7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
6 International Journal of Modern Physics A
6 Applicable Analysis
6 European Journal of Physics
...and 416 more Serials
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Referenced in 60 Fields

893 Special functions (33-XX)
478 Partial differential equations (35-XX)
472 Numerical analysis (65-XX)
377 Quantum theory (81-XX)
349 Probability theory and stochastic processes (60-XX)
298 Number theory (11-XX)
257 Ordinary differential equations (34-XX)
241 Approximations and expansions (41-XX)
187 Real functions (26-XX)
174 Relativity and gravitational theory (83-XX)
166 Harmonic analysis on Euclidean spaces (42-XX)
165 Statistics (62-XX)
159 Statistical mechanics, structure of matter (82-XX)
148 Functions of a complex variable (30-XX)
114 Combinatorics (05-XX)
112 Linear and multilinear algebra; matrix theory (15-XX)
112 Fluid mechanics (76-XX)
97 Integral transforms, operational calculus (44-XX)
90 Computer science (68-XX)
85 Operator theory (47-XX)
84 Dynamical systems and ergodic theory (37-XX)
76 Mechanics of deformable solids (74-XX)
76 Optics, electromagnetic theory (78-XX)
52 Biology and other natural sciences (92-XX)
50 Integral equations (45-XX)
50 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
49 Differential geometry (53-XX)
48 Mechanics of particles and systems (70-XX)
45 Difference and functional equations (39-XX)
45 Global analysis, analysis on manifolds (58-XX)
44 Information and communication theory, circuits (94-XX)
39 Potential theory (31-XX)
35 Functional analysis (46-XX)
31 Sequences, series, summability (40-XX)
26 Systems theory; control (93-XX)
22 Algebraic geometry (14-XX)
22 Classical thermodynamics, heat transfer (80-XX)
21 Operations research, mathematical programming (90-XX)
20 Topological groups, Lie groups (22-XX)
16 Astronomy and astrophysics (85-XX)
14 Convex and discrete geometry (52-XX)
14 Geophysics (86-XX)
13 Nonassociative rings and algebras (17-XX)
12 Several complex variables and analytic spaces (32-XX)
11 Group theory and generalizations (20-XX)
10 Measure and integration (28-XX)
10 Abstract harmonic analysis (43-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
9 Geometry (51-XX)
7 History and biography (01-XX)
6 \(K\)-theory (19-XX)
6 Manifolds and cell complexes (57-XX)
4 Mathematical logic and foundations (03-XX)
4 Associative rings and algebras (16-XX)
3 General and overarching topics; collections (00-XX)
3 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
2 Mathematics education (97-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)

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