# zbMATH — the first resource for mathematics

## Abramowitz, Milton

Compute Distance To:
 Author ID: abramowitz.milton Published as: Abramowitz, Milton; Abramowitz, M. External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 30 Publications since 1939, including 6 Books
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#### Co-Authors

 15 single-authored 8 Stegun, Irene Ann 3 Lowan, Arnold N. 2 Blanch, Gertrude K. 1 Antosiewicz, Henry A. 1 Cahill, William F. 1 Kaufman, W. 1 King, F. G. 1 Laderman, Jack 1 Pfeferman, M. 1 Rabinowitz, Philip 1 Wade, C. jun.
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#### Serials

 11 Journal of Mathematics and Physics 3 Physical Review, II. Series 3 Mathematical Tables and other Aids to Computation 2 Bulletin of the American Mathematical Society 2 Journal of the Society for Industrial & Applied Mathematics 1 Journal of Research of the National Bureau of Standards 1 Journal of the American Statistical Association 1 Quarterly of Applied Mathematics
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#### Fields

 5 General and overarching topics; collections (00-XX) 5 Number theory (11-XX) 5 Special functions (33-XX) 5 Integral transforms, operational calculus (44-XX) 5 Statistics (62-XX) 5 Numerical analysis (65-XX) 3 Approximations and expansions (41-XX)

#### Citations contained in zbMATH Open

24 Publications have been cited 9,168 times in 9,148 Documents Cited by Year
Handbook of mathematical functions with formulas, graphs and mathematical tables. Zbl 0171.38503
Abramowitz, Milton (ed.); Stegun, Irene A. (ed.)
1964
Handbook of mathematical functions with formulas, graphs, and mathematical tables. 10th printing, with corrections. Zbl 0543.33001
Abramowitz, Milton (ed.); Stegun, Irene A. (ed.)
1972
Handbook of mathematical functions with formulas, graphs and mathematical tables. Translated from the English by V. A. Ditkin and L. N. Karmazinaya. (Справочник по специальным функциям с формулами, графиками и математическими таблицами.) Zbl 0515.33001
Abramowitz, M. (ed.); Stegun, I. A. (ed.)
1979
Handbook of mathematical functions with formulas, graphs, and mathematical tables. Reprint of the 1972 ed. Zbl 0643.33001
Abramowitz, Milton (ed.); Stegun, Irene A. (ed.)
1984
Pocketbook of mathematical functions. Abridged edition of “Handbook of mathematical functions” by Milton Abramowitz and Irene A. Stegun. Material selected by Michael Danos and Johann Rafelski. Zbl 0643.33002
Abramowitz, Milton (ed.); Stegun, Irene A. (ed.)
1984
Generation of Coulomb wave functions by means of recurrence relations. Zbl 0065.43202
Stegun, Irene A.; Abramowitz, Milton
1955
Generation of Bessel functions on high speed computers. Zbl 0084.12101
Stegun, Irene A.; Abramowitz, Milton
1957
On the solution of the differential equation occurring in the problem of heat convection in laminar flow through a tube. Zbl 0051.06901
Abramowitz, Milton
1953
Asymptotic expansions of spheroidal wave functions. Zbl 0034.34001
Abramowitz, Milton
1949
Evaluations of Coulomb wave functions along the transition line. Zbl 0055.42406
Abramowitz, Milton; Rabinowitz, Philip
1954
On the practical evaluation of integrals. Zbl 0058.33802
Abramowitz, Milton
1954
Note on the computation of the differences of the $$Si(x), Ci(x), Ei(x)$$ and $$-Ei(-x)$$ functions. JFM 66.0320.03
Abramowitz, M.
1940
Evaluation of the integral $$\int_0^\infty e^{-u^2-x/u}du$$. Zbl 0051.09802
Abramowitz, Milton
1953
On backflow of a viscous fluid in a diverging channel. Zbl 0033.41303
Abramowitz, Milton
1949
Asymptotic expansions of Coulomb wave functions. Zbl 0041.06101
Abramowitz, Milton
1949
Pitfalls in computation. Zbl 0077.32801
Stegun, Irene A.; Abramowitz, Milton
1957
Tables of integrals of Struve functions. Zbl 0036.20701
Abramowitz, Milton
1950
Coulomb wave functions expressed in terms of Bessel-Clifford and Bessel functions. Zbl 0042.36702
Abramowitz, Milton
1951
Coulomb wave functions in the transition region. Zbl 0055.42405
Abramowitz, Milton; Antosiewicz, H. A.
1954
Regular and irregular Coulomb wave functions expressed in terms of Bessel-Clifford functions. Zbl 0057.05405
Abramowitz, Milton
1954
Tables of the exponential function $$e^x$$. JFM 65.1328.03
Lowan, A. N.; Pfeferman, M.; Blanch, G.; King, F. G.; Kaufman, W.; Abramowitz, M.
1939
Heat transfer in laminar flow through a tube. Zbl 0141.43304
Abramowitz, M.; Cahill, William F.; Wade, C. jun.
1959
Table of the Integrals $$\int_0^x J_0(t)dt$$ and $$\int_0^x Y_0(t)dt$$. Zbl 0061.30306
Lowan, Arnold N.; Abramowitz, Milton
1943
Table of $$Ji_0(x)=\int_x^\infty (J_0(t)/t)dt$$ and related functions. Zbl 0061.30401
Lowan, Arnold N.; Blanch, G.; Abramowitz, M.
1943
Handbook of mathematical functions with formulas, graphs, and mathematical tables. Reprint of the 1972 ed. Zbl 0643.33001
Abramowitz, Milton; Stegun, Irene A.
1984
Pocketbook of mathematical functions. Abridged edition of “Handbook of mathematical functions” by Milton Abramowitz and Irene A. Stegun. Material selected by Michael Danos and Johann Rafelski. Zbl 0643.33002
Abramowitz, Milton; Stegun, Irene A.
1984
Handbook of mathematical functions with formulas, graphs and mathematical tables. Translated from the English by V. A. Ditkin and L. N. Karmazinaya. (Справочник по специальным функциям с формулами, графиками и математическими таблицами.) Zbl 0515.33001
Abramowitz, M.; Stegun, I. A.
1979
Handbook of mathematical functions with formulas, graphs, and mathematical tables. 10th printing, with corrections. Zbl 0543.33001
Abramowitz, Milton; Stegun, Irene A.
1972
Handbook of mathematical functions with formulas, graphs and mathematical tables. Zbl 0171.38503
Abramowitz, Milton; Stegun, Irene A.
1964
Heat transfer in laminar flow through a tube. Zbl 0141.43304
Abramowitz, M.; Cahill, William F.; Wade, C. jun.
1959
Generation of Bessel functions on high speed computers. Zbl 0084.12101
Stegun, Irene A.; Abramowitz, Milton
1957
Pitfalls in computation. Zbl 0077.32801
Stegun, Irene A.; Abramowitz, Milton
1957
Generation of Coulomb wave functions by means of recurrence relations. Zbl 0065.43202
Stegun, Irene A.; Abramowitz, Milton
1955
Evaluations of Coulomb wave functions along the transition line. Zbl 0055.42406
Abramowitz, Milton; Rabinowitz, Philip
1954
On the practical evaluation of integrals. Zbl 0058.33802
Abramowitz, Milton
1954
Coulomb wave functions in the transition region. Zbl 0055.42405
Abramowitz, Milton; Antosiewicz, H. A.
1954
Regular and irregular Coulomb wave functions expressed in terms of Bessel-Clifford functions. Zbl 0057.05405
Abramowitz, Milton
1954
On the solution of the differential equation occurring in the problem of heat convection in laminar flow through a tube. Zbl 0051.06901
Abramowitz, Milton
1953
Evaluation of the integral $$\int_0^\infty e^{-u^2-x/u}du$$. Zbl 0051.09802
Abramowitz, Milton
1953
Coulomb wave functions expressed in terms of Bessel-Clifford and Bessel functions. Zbl 0042.36702
Abramowitz, Milton
1951
Tables of integrals of Struve functions. Zbl 0036.20701
Abramowitz, Milton
1950
Asymptotic expansions of spheroidal wave functions. Zbl 0034.34001
Abramowitz, Milton
1949
On backflow of a viscous fluid in a diverging channel. Zbl 0033.41303
Abramowitz, Milton
1949
Asymptotic expansions of Coulomb wave functions. Zbl 0041.06101
Abramowitz, Milton
1949
Table of the Integrals $$\int_0^x J_0(t)dt$$ and $$\int_0^x Y_0(t)dt$$. Zbl 0061.30306
Lowan, Arnold N.; Abramowitz, Milton
1943
Table of $$Ji_0(x)=\int_x^\infty (J_0(t)/t)dt$$ and related functions. Zbl 0061.30401
Lowan, Arnold N.; Blanch, G.; Abramowitz, M.
1943
Note on the computation of the differences of the $$Si(x), Ci(x), Ei(x)$$ and $$-Ei(-x)$$ functions. JFM 66.0320.03
Abramowitz, M.
1940
Tables of the exponential function $$e^x$$. JFM 65.1328.03
Lowan, A. N.; Pfeferman, M.; Blanch, G.; King, F. G.; Kaufman, W.; Abramowitz, M.
1939
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#### Cited by 12,471 Authors

 37 Chu, Yuming 35 Xiang, Shuhuang 34 Chen, Chaoping 33 Yang, Zhenhang 30 Qi, Feng 30 Schulze-Halberg, Axel 25 Withers, Christopher Stroude 24 Nadarajah, Saralees 24 Temme, Nico M. 22 Boyd, John Philip 22 Forbes, Lawrence K. 21 Alzer, Horst 21 Coffey, Mark William 21 Srivastava, Hari Mohan 20 Gesztesy, Fritz 18 Lu, Dawei 18 Mortici, Cristinel 16 Hasheminejad, Seyyed Mohammad 16 Llibre, Jaume 15 Hod, Shahar 15 López, José Luis 14 Dilcher, Karl 14 Knessl, Charles 14 Leonenko, Nikolai N. 14 Qiu, Songliang 14 Sever, Ramazan 13 Dette, Holger 13 Green, William R. 13 Paris, Richard Bruce 13 Vu Kim Tuan 13 Wang, Weiping 12 Baccouch, Mahboub 12 Cai, Wei 12 Frank, Rupert L. 12 Guo, Bai-Ni 12 Ikhdair, Sameer M. 12 Iserles, Arieh 12 Kim, Taekyun 12 Sidi, Avram 12 Xu, Zhenhua 11 Borwein, Jonathan Michael 11 Comte, Fabienne 11 Cvijović, Djurdje 11 Gautschi, Walter 11 Holcman, David 11 López-Ortega, A. 11 Pérez, Teresa E. 11 Piñar, Miguel A. 11 Segura, Javier 11 Wang, Lilian 11 Wong, Roderick Sue-Chuen 10 Albrecher, Hansjörg 10 Chen, Ruyun 10 Di Crescenzo, Antonio 10 Kang, Hongchao 10 Kim, Dae San 10 Kovařík, Hynek 10 Lampret, Vito 10 Lefebvre, Mario 10 Martínez-Finkelshtein, Andrei 10 Mukhopadhyay, Nitis 10 van Leeuwaarden, Johan S. H. 10 Vignat, Christophe 10 Wang, Miaokun 10 Wei, Juncheng 9 Almog, Yaniv 9 Arda, Altuğ 9 Ashbaugh, Mark S. 9 Bruzón, Maria Santos 9 Butler, Ronald W. 9 Cho, Minhyung 9 Choi, Junesang 9 Georgiadis, H. G. 9 Helffer, Bernard 9 Hunter, David B. 9 Le Maître, Olivier P. 9 Martinucci, Barbara 9 Ohtani, Kazuhiro 9 Rokhlin, Vladimir 9 Szpankowski, Wojciech 9 Takahashi, Toru 9 Wood, Andrew T. A. 9 Yakubovich, Semyon B. 9 Zhang, Xiaohui 9 Zhao, Yuqiu 9 Zhu, Ling 8 Balakrishnan, Narayanaswamy 8 Baricz, Árpád 8 Boĭvalenkov, Pet”r Georgiev 8 Castro, Luis B. 8 Cools, Ronald 8 Dixit, Atul 8 Elliott, David L. 8 Erdoğan, Mehmet Burak 8 Exner, Pavel 8 Hassell, Andrew 8 Ixaru, Liviu Gr. 8 Jones, William Branham 8 Kirsten, Klaus 8 Koepf, Wolfram A. ...and 12,371 more Authors
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#### Cited in 819 Serials

 268 Journal of Computational and Applied Mathematics 208 Journal of Mathematical Physics 186 Journal of Computational Physics 184 Journal of Mathematical Analysis and Applications 182 Applied Mathematics and Computation 156 Mathematics of Computation 137 Journal of Statistical Physics 130 Journal of Fluid Mechanics 127 Physics Letters. A 119 Journal of Engineering Mathematics 106 Annals of Physics 98 Communications in Mathematical Physics 91 Communications in Statistics. Theory and Methods 87 Acta Mechanica 84 Physica D 80 Numerische Mathematik 76 Wave Motion 73 Journal of High Energy Physics 72 ZAMP. Zeitschrift für angewandte Mathematik und Physik 72 Integral Transforms and Special Functions 69 Computer Physics Communications 69 Numerical Algorithms 67 General Relativity and Gravitation 64 Statistics & Probability Letters 62 Nuclear Physics. B 61 Applied Numerical Mathematics 58 Computers & Mathematics with Applications 58 Journal of Approximation Theory 58 Engineering Analysis with Boundary Elements 56 Journal of Statistical Planning and Inference 55 Theoretical and Mathematical Physics 53 Journal of Differential Equations 53 Journal of Number Theory 53 Journal of Scientific Computing 52 Computer Methods in Applied Mechanics and Engineering 52 Physics of Fluids 51 Mathematical Biosciences 51 Physics Letters. B 51 The Ramanujan Journal 50 Applied Mathematical Modelling 48 International Journal of Theoretical Physics 47 Journal of Mathematical Biology 46 Fluid Dynamics 45 BIT 45 Computational Statistics and Data Analysis 43 Transactions of the American Mathematical Society 43 Journal of Mathematical Chemistry 42 Physica A 42 Applied Mathematics Letters 40 Journal of Statistical Computation and Simulation 40 Journal of Inequalities and Applications 39 Astrophysics and Space Science 39 Insurance Mathematics & Economics 39 Stochastic Processes and their Applications 38 Proceedings of the American Mathematical Society 37 Physics of Fluids 37 Annals of the Institute of Statistical Mathematics 37 Communications in Statistics. Simulation and Computation 36 The Annals of Statistics 36 Methodology and Computing in Applied Probability 34 Modern Physics Letters A 34 Journal of Econometrics 33 International Journal of Engineering Science 33 Bulletin of Mathematical Biology 33 Journal of Multivariate Analysis 33 Constructive Approximation 33 Advances in Computational Mathematics 32 Computing 32 Theoretical Population Biology 32 Queueing Systems 31 Journal of Applied Probability 31 The Annals of Applied Probability 30 International Journal of Modern Physics A 30 International Journal of Modern Physics B 30 Advances in Applied Probability 30 Applied and Computational Harmonic Analysis 28 International Journal of Solids and Structures 28 The Annals of Probability 28 Journal of Functional Analysis 28 Probability Theory and Related Fields 28 Journal of Mathematical Sciences (New York) 27 Celestial Mechanics and Dynamical Astronomy 27 Mathematical Problems in Engineering 27 Annales Henri Poincaré 26 Results in Mathematics 26 Bernoulli 25 Mathematical Notes 25 Communications in Nonlinear Science and Numerical Simulation 24 Archive for Rational Mechanics and Analysis 24 Mathematische Zeitschrift 24 Meccanica 24 International Journal of Computer Mathematics 24 Linear Algebra and its Applications 24 Abstract and Applied Analysis 24 Electronic Journal of Statistics 23 Advances in Mathematics 23 SIAM Journal on Numerical Analysis 23 European Journal of Operational Research 23 Lobachevskii Journal of Mathematics 23 Journal of Theoretical Biology ...and 719 more Serials
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#### Cited in 62 Fields

 1,727 Numerical analysis (65-XX) 1,473 Partial differential equations (35-XX) 1,174 Special functions (33-XX) 1,159 Probability theory and stochastic processes (60-XX) 1,113 Fluid mechanics (76-XX) 1,069 Statistics (62-XX) 977 Quantum theory (81-XX) 571 Mechanics of deformable solids (74-XX) 542 Approximations and expansions (41-XX) 540 Statistical mechanics, structure of matter (82-XX) 523 Ordinary differential equations (34-XX) 470 Number theory (11-XX) 386 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 350 Biology and other natural sciences (92-XX) 344 Harmonic analysis on Euclidean spaces (42-XX) 336 Relativity and gravitational theory (83-XX) 323 Real functions (26-XX) 302 Optics, electromagnetic theory (78-XX) 238 Operator theory (47-XX) 222 Dynamical systems and ergodic theory (37-XX) 218 Combinatorics (05-XX) 218 Functions of a complex variable (30-XX) 203 Computer science (68-XX) 196 Integral transforms, operational calculus (44-XX) 193 Integral equations (45-XX) 169 Mechanics of particles and systems (70-XX) 169 Classical thermodynamics, heat transfer (80-XX) 169 Operations research, mathematical programming (90-XX) 140 Linear and multilinear algebra; matrix theory (15-XX) 129 Information and communication theory, circuits (94-XX) 128 Geophysics (86-XX) 122 Global analysis, analysis on manifolds (58-XX) 115 Functional analysis (46-XX) 107 Systems theory; control (93-XX) 90 Differential geometry (53-XX) 86 Calculus of variations and optimal control; optimization (49-XX) 85 Difference and functional equations (39-XX) 84 Astronomy and astrophysics (85-XX) 83 Sequences, series, summability (40-XX) 50 Potential theory (31-XX) 32 Algebraic geometry (14-XX) 31 Topological groups, Lie groups (22-XX) 31 Abstract harmonic analysis (43-XX) 30 Convex and discrete geometry (52-XX) 27 Measure and integration (28-XX) 23 Several complex variables and analytic spaces (32-XX) 20 Group theory and generalizations (20-XX) 15 Nonassociative rings and algebras (17-XX) 15 Manifolds and cell complexes (57-XX) 14 Geometry (51-XX) 13 General and overarching topics; collections (00-XX) 13 Field theory and polynomials (12-XX) 10 Associative rings and algebras (16-XX) 9 History and biography (01-XX) 6 Mathematical logic and foundations (03-XX) 5 Commutative algebra (13-XX) 4 General topology (54-XX) 4 Mathematics education (97-XX) 3 Category theory; homological algebra (18-XX) 3 $$K$$-theory (19-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Algebraic topology (55-XX)

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