Edit Profile (opens in new tab) Abramowitz, Milton Compute Distance To: Compute Author ID: abramowitz.milton Published as: Abramowitz, Milton; Abramowitz, M. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 25 Publications since 1939, including 1 Book 5 Contributions as Editor Co-Authors: 13 Co-Authors with 15 Joint Publications 58 Co-Co-Authors all top 5 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 Danos, Michael 1 Kaufman, W. 1 King, F. G. 1 Laderman, Jack 1 Pfeferman, M. 1 Rabinowitz, Philip 1 Rafelski, Johann 1 Wade, C. jun. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 10,312 times in 10,272 Documents Cited by ▼ Year ▼ Handbook of mathematical functions with formulas, graphs and mathematical tables. Zbl 0171.38503 5,462 1964 Handbook of mathematical functions with formulas, graphs, and mathematical tables. 10th printing, with corrections. Zbl 0543.33001 3,043 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 1,529 1979 Handbook of mathematical functions with formulas, graphs, and mathematical tables. Reprint of the 1972 ed. Zbl 0643.33001 96 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 72 1984 Generation of Coulomb wave functions by means of recurrence relations. Zbl 0065.43202Stegun, Irene A.; Abramowitz, Milton 43 1955 Generation of Bessel functions on high speed computers. Zbl 0084.12101Stegun, Irene A.; Abramowitz, Milton 17 1957 On the solution of the differential equation occurring in the problem of heat convection in laminar flow through a tube. Zbl 0051.06901Abramowitz, Milton 7 1953 Note on the computation of the differences of the \(Si(x), Ci(x), Ei(x)\) and \(-Ei(-x)\) functions. JFM 66.0320.03Abramowitz, M. 5 1940 Asymptotic expansions of spheroidal wave functions. Zbl 0034.34001Abramowitz, Milton 5 1949 Evaluation of the integral \(\int_0^\infty e^{-u^2-x/u}du\). Zbl 0051.09802Abramowitz, Milton 5 1953 Evaluations of Coulomb wave functions along the transition line. Zbl 0055.42406Abramowitz, Milton; Rabinowitz, Philip 4 1954 On the practical evaluation of integrals. Zbl 0058.33802Abramowitz, Milton 4 1954 On backflow of a viscous fluid in a diverging channel. Zbl 0033.41303Abramowitz, Milton 3 1949 Tables of integrals of Struve functions. Zbl 0036.20701Abramowitz, Milton 3 1950 Asymptotic expansions of Coulomb wave functions. Zbl 0041.06101Abramowitz, Milton 3 1949 Coulomb wave functions expressed in terms of Bessel-Clifford and Bessel functions. Zbl 0042.36702Abramowitz, Milton 2 1951 Regular and irregular Coulomb wave functions expressed in terms of Bessel-Clifford functions. Zbl 0057.05405Abramowitz, Milton 2 1954 Pitfalls in computation. Zbl 0077.32801Stegun, Irene A.; Abramowitz, Milton 2 1957 Tables of the exponential function \(e^x\). JFM 65.1328.03Lowan, A. N.; Pfeferman, M.; Blanch, G.; King, F. G.; Kaufman, W.; Abramowitz, M. 1 1939 Heat transfer in laminar flow through a tube. Zbl 0141.43304Abramowitz, M.; Cahill, William F.; Wade, C. jun. 1 1959 Coulomb wave functions in the transition region. Zbl 0055.42405Abramowitz, Milton; Antosiewicz, H. A. 1 1954 Table of the Integrals \(\int_0^x J_0(t)dt\) and \(\int_0^x Y_0(t)dt\). Zbl 0061.30306Lowan, Arnold N.; Abramowitz, Milton 1 1943 Table of \(Ji_0(x)=\int_x^\infty (J_0(t)/t)dt\) and related functions. Zbl 0061.30401Lowan, Arnold N.; Blanch, G.; Abramowitz, M. 1 1943 Handbook of mathematical functions with formulas, graphs, and mathematical tables. Reprint of the 1972 ed. Zbl 0643.33001 96 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 72 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 1,529 1979 Handbook of mathematical functions with formulas, graphs, and mathematical tables. 10th printing, with corrections. Zbl 0543.33001 3,043 1972 Handbook of mathematical functions with formulas, graphs and mathematical tables. Zbl 0171.38503 5,462 1964 Heat transfer in laminar flow through a tube. Zbl 0141.43304Abramowitz, M.; Cahill, William F.; Wade, C. jun. 1 1959 Generation of Bessel functions on high speed computers. Zbl 0084.12101Stegun, Irene A.; Abramowitz, Milton 17 1957 Pitfalls in computation. Zbl 0077.32801Stegun, Irene A.; Abramowitz, Milton 2 1957 Generation of Coulomb wave functions by means of recurrence relations. Zbl 0065.43202Stegun, Irene A.; Abramowitz, Milton 43 1955 Evaluations of Coulomb wave functions along the transition line. Zbl 0055.42406Abramowitz, Milton; Rabinowitz, Philip 4 1954 On the practical evaluation of integrals. Zbl 0058.33802Abramowitz, Milton 4 1954 Regular and irregular Coulomb wave functions expressed in terms of Bessel-Clifford functions. Zbl 0057.05405Abramowitz, Milton 2 1954 Coulomb wave functions in the transition region. Zbl 0055.42405Abramowitz, Milton; Antosiewicz, H. A. 1 1954 On the solution of the differential equation occurring in the problem of heat convection in laminar flow through a tube. Zbl 0051.06901Abramowitz, Milton 7 1953 Evaluation of the integral \(\int_0^\infty e^{-u^2-x/u}du\). Zbl 0051.09802Abramowitz, Milton 5 1953 Coulomb wave functions expressed in terms of Bessel-Clifford and Bessel functions. Zbl 0042.36702Abramowitz, Milton 2 1951 Tables of integrals of Struve functions. Zbl 0036.20701Abramowitz, Milton 3 1950 Asymptotic expansions of spheroidal wave functions. Zbl 0034.34001Abramowitz, Milton 5 1949 On backflow of a viscous fluid in a diverging channel. Zbl 0033.41303Abramowitz, Milton 3 1949 Asymptotic expansions of Coulomb wave functions. Zbl 0041.06101Abramowitz, Milton 3 1949 Table of the Integrals \(\int_0^x J_0(t)dt\) and \(\int_0^x Y_0(t)dt\). Zbl 0061.30306Lowan, Arnold N.; Abramowitz, Milton 1 1943 Table of \(Ji_0(x)=\int_x^\infty (J_0(t)/t)dt\) and related functions. Zbl 0061.30401Lowan, Arnold N.; Blanch, G.; Abramowitz, M. 1 1943 Note on the computation of the differences of the \(Si(x), Ci(x), Ei(x)\) and \(-Ei(-x)\) functions. JFM 66.0320.03Abramowitz, M. 5 1940 Tables of the exponential function \(e^x\). JFM 65.1328.03Lowan, A. N.; Pfeferman, M.; Blanch, G.; King, F. G.; Kaufman, W.; Abramowitz, M. 1 1939 all cited Publications top 5 cited Publications all top 5 Cited by 13,974 Authors 50 Chu, Yuming 42 Xiang, Shuhuang 40 Qi, Feng 40 Yang, Zhenhang 37 Chen, Chaoping 30 Schulze-Halberg, Axel 25 Forbes, Lawrence K. 25 Nadarajah, Saralees 25 Srivastava, Hari Mohan 25 Withers, Christopher Stroude 24 Temme, Nico M. 22 Alzer, Horst 22 Boyd, John Philip 22 Gesztesy, Fritz 21 Coffey, Mark William 19 Mortici, Cristinel 18 Lu, Dawei 17 Wang, Miaokun 16 Hasheminejad, Seyyed Mohammad 16 Llibre, Jaume 16 López, José Luis 16 Zhu, Ling 15 Hod, Shahar 15 Kim, Taekyun 15 Knessl, Charles 15 Leonenko, Nikolai N. 15 Paris, Richard Bruce 15 Qiu, Songliang 14 Dilcher, Karl 14 Green, William R. 14 Guo, Bai-Ni 14 Lefebvre, Mario 14 Sever, Ramazan 14 Vu Kim Tuan 14 Zhao, Tiehong 13 Baccouch, Mahboub 13 Cai, Wei 13 Choi, Junesang 13 Comte, Fabienne 13 Dette, Holger 13 Gautschi, Walter 13 Kang, Hongchao 13 Kim, Dae San 13 Pérez, Teresa E. 13 Tian, Jingfeng 13 Wang, Weiping 13 Xu, Zhenhua 12 Frank, Rupert L. 12 Ikhdair, Sameer M. 12 Iserles, Arieh 12 Khanmamedov, Agil Khanmamed ogly 12 Kovařík, Hynek 12 Ma, Xiaoyan 12 Piñar, Miguel A. 12 Porcu, Emilio 12 Sidi, Avram 12 Wang, Lilian 11 Almog, Yaniv 11 Borwein, Jonathan Michael 11 Cvijović, Djurdje 11 Di Crescenzo, Antonio 11 Holcman, David 11 Lampret, Vito 11 Li, Zi-Cai 11 Liu, Hongyu 11 López-Ortega, A. 11 Mukhopadhyay, Nitis 11 Ouimet, Frédéric 11 Segura, Javier 11 Vignat, Christophe 11 Wong, Roderick Sue-Chuen 10 Albrecher, Hansjörg 10 Balakrishnan, Narayanaswamy 10 Butler, Ronald W. 10 Chen, Ruyun 10 Dixit, Atul 10 Georgiadis, H. G. 10 Helffer, Bernard 10 Le Maître, Olivier P. 10 Martínez-Finkelshtein, Andrei 10 Masjed-Jamei, Mohammad 10 Ohtani, Kazuhiro 10 Takahashi, Toru 10 van Leeuwaarden, Johan S. H. 10 Wei, Juncheng 10 Wood, Andrew T. A. 9 Arda, Altuğ 9 Ashbaugh, Mark S. 9 Boĭvalenkov, Pet”r Georgiev 9 Bruzón, Maria Santos 9 Cho, Minhyung 9 Erdoğan, Mehmet Burak 9 Huang, Hung-Tsai 9 Huang, TiRen 9 Hunter, David B. 9 Khalique, Chaudry Masood 9 Kirsten, Klaus 9 Levesley, Jeremy 9 Martinucci, Barbara 9 Povstenko, Yuriy Z. ...and 13,874 more Authors all top 5 Cited in 901 Serials 286 Journal of Computational and Applied Mathematics 216 Journal of Mathematical Physics 211 Journal of Computational Physics 205 Journal of Mathematical Analysis and Applications 194 Applied Mathematics and Computation 159 Mathematics of Computation 149 Journal of Fluid Mechanics 143 Journal of Statistical Physics 132 Physics Letters. A 129 Journal of Engineering Mathematics 113 Annals of Physics 103 Communications in Statistics. Theory and Methods 101 Communications in Mathematical Physics 100 Journal of High Energy Physics 97 Physica D 94 Computer Physics Communications 92 Acta Mechanica 90 Wave Motion 83 Numerische Mathematik 77 Numerical Algorithms 76 Integral Transforms and Special Functions 74 ZAMP. Zeitschrift für angewandte Mathematik und Physik 72 General Relativity and Gravitation 72 Statistics & Probability Letters 71 Physica A 70 Nuclear Physics. B 67 Journal of Statistical Planning and Inference 66 Computers & Mathematics with Applications 65 Applied Numerical Mathematics 61 Journal of Approximation Theory 61 Engineering Analysis with Boundary Elements 59 Journal of Differential Equations 57 Computer Methods in Applied Mechanics and Engineering 57 Journal of Scientific Computing 57 Applied Mathematical Modelling 57 Journal of Inequalities and Applications 56 Physics Letters. B 56 Theoretical and Mathematical Physics 54 The Ramanujan Journal 53 Mathematical Biosciences 53 Journal of Number Theory 52 Physics of Fluids 49 Communications in Statistics. Simulation and Computation 48 Fluid Dynamics 48 International Journal of Theoretical Physics 48 Journal of Mathematical Biology 47 Computational Statistics and Data Analysis 46 Transactions of the American Mathematical Society 45 BIT 45 Journal of Mathematical Chemistry 44 Applied Mathematics Letters 43 Insurance Mathematics & Economics 43 Journal of Statistical Computation and Simulation 43 Stochastic Processes and their Applications 41 International Journal of Engineering Science 41 Proceedings of the American Mathematical Society 40 Methodology and Computing in Applied Probability 39 Astrophysics and Space Science 39 Journal of Multivariate Analysis 37 Modern Physics Letters A 37 Physics of Fluids 37 The Annals of Statistics 36 Annals of the Institute of Statistical Mathematics 36 Advances in Computational Mathematics 35 Journal of Econometrics 35 Annales Henri Poincaré 34 Bulletin of Mathematical Biology 34 Constructive Approximation 33 Theoretical Population Biology 33 Journal of Mathematical Sciences (New York) 32 Computing 32 Journal of Applied Probability 32 Queueing Systems 32 Applied and Computational Harmonic Analysis 31 Advances in Applied Probability 31 Journal of Functional Analysis 31 The Annals of Applied Probability 31 International Journal of Computer Mathematics 30 International Journal of Modern Physics A 30 International Journal of Modern Physics B 30 The Annals of Probability 30 Bernoulli 29 Chaos, Solitons and Fractals 29 Results in Mathematics 29 Lobachevskii Journal of Mathematics 28 International Journal of Solids and Structures 28 Linear Algebra and its Applications 27 Mathematical Notes 27 Advances in Mathematics 27 European Journal of Operational Research 27 Celestial Mechanics and Dynamical Astronomy 27 Mathematical Problems in Engineering 27 Communications in Nonlinear Science and Numerical Simulation 27 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 26 SIAM Journal on Applied Mathematics 25 Mathematische Zeitschrift 25 SIAM Journal on Numerical Analysis 25 Advances in Difference Equations 25 Electronic Journal of Statistics 24 Archive for Rational Mechanics and Analysis ...and 801 more Serials all top 5 Cited in 62 Fields 1,924 Numerical analysis (65-XX) 1,694 Partial differential equations (35-XX) 1,359 Special functions (33-XX) 1,281 Probability theory and stochastic processes (60-XX) 1,231 Fluid mechanics (76-XX) 1,217 Statistics (62-XX) 1,091 Quantum theory (81-XX) 641 Mechanics of deformable solids (74-XX) 619 Statistical mechanics, structure of matter (82-XX) 590 Ordinary differential equations (34-XX) 589 Approximations and expansions (41-XX) 556 Number theory (11-XX) 424 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 420 Real functions (26-XX) 390 Relativity and gravitational theory (83-XX) 376 Biology and other natural sciences (92-XX) 374 Harmonic analysis on Euclidean spaces (42-XX) 354 Optics, electromagnetic theory (78-XX) 276 Operator theory (47-XX) 253 Combinatorics (05-XX) 247 Dynamical systems and ergodic theory (37-XX) 238 Functions of a complex variable (30-XX) 227 Integral transforms, operational calculus (44-XX) 225 Computer science (68-XX) 217 Integral equations (45-XX) 191 Mechanics of particles and systems (70-XX) 188 Operations research, mathematical programming (90-XX) 181 Classical thermodynamics, heat transfer (80-XX) 160 Linear and multilinear algebra; matrix theory (15-XX) 148 Geophysics (86-XX) 147 Information and communication theory, circuits (94-XX) 138 Global analysis, analysis on manifolds (58-XX) 130 Functional analysis (46-XX) 116 Systems theory; control (93-XX) 104 Calculus of variations and optimal control; optimization (49-XX) 104 Differential geometry (53-XX) 89 Difference and functional equations (39-XX) 89 Sequences, series, summability (40-XX) 89 Astronomy and astrophysics (85-XX) 64 Potential theory (31-XX) 40 Algebraic geometry (14-XX) 37 Abstract harmonic analysis (43-XX) 37 Convex and discrete geometry (52-XX) 34 Topological groups, Lie groups (22-XX) 32 Measure and integration (28-XX) 24 Several complex variables and analytic spaces (32-XX) 20 Group theory and generalizations (20-XX) 19 Nonassociative rings and algebras (17-XX) 19 Geometry (51-XX) 17 Field theory and polynomials (12-XX) 17 Manifolds and cell complexes (57-XX) 16 General and overarching topics; collections (00-XX) 10 History and biography (01-XX) 10 Associative rings and algebras (16-XX) 8 Mathematical logic and foundations (03-XX) 5 Commutative algebra (13-XX) 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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