Edit Profile (opens in new tab) Miller, Kenneth S. Compute Distance To: Compute Author ID: miller.kenneth-s Published as: Miller, Kenneth S.; Miller, K. S.; Miller, Kenneth External Links: MGP Documents Indexed: 78 Publications since 1948, including 25 Books 1 Further Contribution Reviewing Activity: 103 Reviews Co-Authors: 19 Co-Authors with 35 Joint Publications 446 Co-Co-Authors all top 5 Co-Authors 43 single-authored 6 Rochwarger, Marvin M. 4 Murray, Francis Joseph 3 Blumenson, Leslie E. 3 Leskiw, Donald M. 3 Ross, Bertram 3 Samko, Stefan Grigorievich 2 Abramson, Lee R. 2 Bernstein, R. I. 2 Schiffer, Menahem Max 2 Schwarz, Ralph J. 2 Walsh, John Bradstreet 1 Babuška, Ivo 1 Bischoff, Dieter Ernst 1 Brand, G. F. 1 Coffignal, G. 1 de Arantes Oliveira, E. R. 1 Demkowicz, Leszek F. 1 Devloo, Philippe Remy Bernard 1 Gago, J. 1 Ismail, Mourad El-Houssieny 1 Kelly, Donald W. 1 Ladevèze, Pierre 1 Löhner, Rainald 1 Mitchell, Andrew Ronald 1 Oden, John Tinsley 1 Pelle, Jean-Pierre 1 Plank, Lothar 1 Prudnikov, Anatoliĭ Platonovich 1 Raghavan, Raghu 1 Rank, Ernst 1 Rheinboldt, C. 1 Sachdeva, Baldev K. 1 Sackrowitz, Harold B. 1 Salvadori, Mario G. 1 Shapiro, Harold Seymour 1 Stein, Erwin 1 Strouboulis, Theofanis 1 Zadeh, Lotfi Asker 1 Zienkiewicz, Olgierd Cecil all top 5 Serials 6 IEEE Transactions on Information Theory 5 Journal of Applied Physics 4 Proceedings of the American Mathematical Society 4 Quarterly of Applied Mathematics 4 Integral Transforms and Special Functions 3 Mathematics Magazine 3 Annals of Mathematical Statistics 2 International Journal of Engineering Science 2 Biometrika 2 Industrial Mathematics 2 SIAM Review 1 American Mathematical Monthly 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Information Sciences 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Real Analysis Exchange 1 Transactions of the American Mathematical Society 1 Journal of Information & Optimization Sciences 1 SIAM Journal on Applied Mathematics 1 Journal of Fractional Calculus 1 International Journal of Mathematical and Statistical Sciences 1 Annals of Mathematics. Second Series 1 Journal of Mathematics and Physics all top 5 Fields 15 Statistics (62-XX) 8 Real functions (26-XX) 8 Probability theory and stochastic processes (60-XX) 7 Special functions (33-XX) 6 Ordinary differential equations (34-XX) 4 Numerical analysis (65-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Difference and functional equations (39-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 45 Publications have been cited 3,480 times in 3,410 Documents Cited by ▼ Year ▼ An introduction to the fractional calculus and fractional differential equations. Zbl 0789.26002Miller, Kenneth S.; Ross, Bertram 3,053 1993 Completely monotonic functions. Zbl 1035.26012Miller, K. S.; Samko, S. G. 124 2001 Linear difference equations. Zbl 0162.40201Miller, K. S. 37 1968 Accuracy estimates and adaptive refinements in finite element computations. Lectures presented at the international conference held in Lisbon, June 1984. Zbl 0663.65001 34 1986 On the inverse of the sum of matrices. Zbl 0462.15004Miller, Kenneth S. 23 1981 A note on the complete monotonicity of the generalized Mittag-Leffler function. Zbl 0964.33011Miller, Kenneth S.; Samko, Stefan G. 20 1998 On linear difference equations. Zbl 0162.13403Miller, K. S. 18 1968 Multidimensional Gaussian distributions. Zbl 0231.62066Miller, Kenneth S. 16 1964 Fractional difference calculus. Zbl 0693.39002Miller, Kenneth S.; Ross, Bertram 16 1989 Fractional differential equations. Zbl 0781.34006Miller, Kenneth S. 12 1993 Derivatives of noninteger order. Zbl 0837.26006Miller, Kenneth S. 11 1995 Distributions involving norms of correlated Gaussian vectors. Zbl 0158.37902Miller, K. S. 11 1964 Relationships between biased and unbiased Rayleigh distributions. Zbl 0158.37806Miller, K. S.; Sackrowitz, Harold 8 1967 Generalized Rayleigh processes. Zbl 0082.34503Miller, K. S.; Bernstein, R. I.; Blumenson, L. E. 8 1958 Complex stochastic processes. An introduction to theory and application. Zbl 0295.60021Miller, Kenneth S. 7 1974 An introduction to the calculus of finite differences and difference equations. Unabridged and corrected republication. Zbl 0141.27701Miller, K. S. 6 1966 Existence theorems for ordinary differential equations. Zbl 0056.31301Murray, F. J.; Miller, K. S. 6 1954 Properties of generalized Rayleigh distributions. Zbl 0115.36904Blumenson, L. E.; Miller, K. S. 6 1963 Existence theorems for ordinary differential equations. Reprint. Zbl 0347.34001Murray, Francis J.; Miller, Kenneth S. 6 1976 The Mittag-Leffler and related functions. Zbl 0824.33014Miller, Kenneth S. 5 1993 Complex Gaussian processes. Zbl 0234.60049Miller, K. S. 5 1969 An infinitely divisible distribution involving modified Bessel functions. Zbl 0501.33007Ismail, Mourad E. H.; Miller, Kenneth S. 5 1982 Fractional Green’s functions. Zbl 0745.34020Miller, Kenneth S.; Ross, Bertram 4 1991 Complex linear least squares. Zbl 0241.65009Miller, Kenneth S. 4 1973 On the linear independence of Laplace integral solutions of certain differential equations. Zbl 0104.30703Miller, K. S.; Shapiro, H. S. 3 1961 Nonstationary autoregressive processes. Zbl 0172.21202Miller, K. S. 3 1969 The onesided Green’s function. Zbl 0043.08801Miller, Kenneth S. 3 1951 An introduction to the calculus of finite differences and difference equations. Zbl 0089.29002Miller, Kenneth S. 3 1960 Some eclectic matrix theory. Zbl 0654.15002Miller, Kenneth S. 3 1987 Some multivariate density functions of products of Gaussian variates. Zbl 0223.62028Miller, K. S. 2 1965 A mathematical basis for an error analysis of differential analyzers. Zbl 0052.13405Miller, K. S.; Murray, F. J. 2 1953 Partial differential equations in engineering problems. Zbl 0053.26303Miller, K. S. 2 1953 Multivariate distributions. 2nd augmented ed. Zbl 0349.62032Miller, Kenneth S. 2 1975 Some simple representations of the generalized Mittag-Leffler functions. Zbl 0983.33010Miller, Kenneth S. 1 2001 Hypothesis testing with complex distributions. Zbl 0426.62031Miller, Kenneth S. 1 1980 Existence theorems for ordinary differential equations. Slightly corrected reprint of the 1954 original. Zbl 1141.34003Murray, Francis J.; Miller, Kenneth S. 1 2007 A note on stochastic difference equations. Zbl 0155.24004Miller, K. S. 1 1968 Minimum variance estimation and prediction theory. Zbl 0166.14601Abramson, L. R.; Miller, K. S. 1 1967 Estimation of spectral moments of time series. Zbl 0215.26802Miller, K. S.; Rochwarger, M. M. 1 1970 Analysis of a sampling servo mechanism. Zbl 0038.28502Miller, Kenneth S.; Schwarz, Ralph J. 1 1950 Self-adjoint differential systems. Zbl 0047.33104Miller, K. S. 1 1952 On the Green’s functions of ordinary differential systems. Zbl 0049.18802Miller, Kenneth S.; Schiffer, Menahem M. 1 1952 On the interference of pulse trains. Zbl 0051.43103Miller, K. S.; Schwarz, R. J. 1 1953 Elements of modern abstract algebra. Zbl 0082.01601Miller, Kenneth S. 1 1958 The Weyl fractional calculus. Zbl 0305.44004Miller, Kenneth S. 1 1975 Existence theorems for ordinary differential equations. Slightly corrected reprint of the 1954 original. Zbl 1141.34003Murray, Francis J.; Miller, Kenneth S. 1 2007 Completely monotonic functions. Zbl 1035.26012Miller, K. S.; Samko, S. G. 124 2001 Some simple representations of the generalized Mittag-Leffler functions. Zbl 0983.33010Miller, Kenneth S. 1 2001 A note on the complete monotonicity of the generalized Mittag-Leffler function. Zbl 0964.33011Miller, Kenneth S.; Samko, Stefan G. 20 1998 Derivatives of noninteger order. Zbl 0837.26006Miller, Kenneth S. 11 1995 An introduction to the fractional calculus and fractional differential equations. Zbl 0789.26002Miller, Kenneth S.; Ross, Bertram 3,053 1993 Fractional differential equations. Zbl 0781.34006Miller, Kenneth S. 12 1993 The Mittag-Leffler and related functions. Zbl 0824.33014Miller, Kenneth S. 5 1993 Fractional Green’s functions. Zbl 0745.34020Miller, Kenneth S.; Ross, Bertram 4 1991 Fractional difference calculus. Zbl 0693.39002Miller, Kenneth S.; Ross, Bertram 16 1989 Some eclectic matrix theory. Zbl 0654.15002Miller, Kenneth S. 3 1987 Accuracy estimates and adaptive refinements in finite element computations. Lectures presented at the international conference held in Lisbon, June 1984. Zbl 0663.65001 34 1986 An infinitely divisible distribution involving modified Bessel functions. Zbl 0501.33007Ismail, Mourad E. H.; Miller, Kenneth S. 5 1982 On the inverse of the sum of matrices. Zbl 0462.15004Miller, Kenneth S. 23 1981 Hypothesis testing with complex distributions. Zbl 0426.62031Miller, Kenneth S. 1 1980 Existence theorems for ordinary differential equations. Reprint. Zbl 0347.34001Murray, Francis J.; Miller, Kenneth S. 6 1976 Multivariate distributions. 2nd augmented ed. Zbl 0349.62032Miller, Kenneth S. 2 1975 The Weyl fractional calculus. Zbl 0305.44004Miller, Kenneth S. 1 1975 Complex stochastic processes. An introduction to theory and application. Zbl 0295.60021Miller, Kenneth S. 7 1974 Complex linear least squares. Zbl 0241.65009Miller, Kenneth S. 4 1973 Estimation of spectral moments of time series. Zbl 0215.26802Miller, K. S.; Rochwarger, M. M. 1 1970 Complex Gaussian processes. Zbl 0234.60049Miller, K. S. 5 1969 Nonstationary autoregressive processes. Zbl 0172.21202Miller, K. S. 3 1969 Linear difference equations. Zbl 0162.40201Miller, K. S. 37 1968 On linear difference equations. Zbl 0162.13403Miller, K. S. 18 1968 A note on stochastic difference equations. Zbl 0155.24004Miller, K. S. 1 1968 Relationships between biased and unbiased Rayleigh distributions. Zbl 0158.37806Miller, K. S.; Sackrowitz, Harold 8 1967 Minimum variance estimation and prediction theory. Zbl 0166.14601Abramson, L. R.; Miller, K. S. 1 1967 An introduction to the calculus of finite differences and difference equations. Unabridged and corrected republication. Zbl 0141.27701Miller, K. S. 6 1966 Some multivariate density functions of products of Gaussian variates. Zbl 0223.62028Miller, K. S. 2 1965 Multidimensional Gaussian distributions. Zbl 0231.62066Miller, Kenneth S. 16 1964 Distributions involving norms of correlated Gaussian vectors. Zbl 0158.37902Miller, K. S. 11 1964 Properties of generalized Rayleigh distributions. Zbl 0115.36904Blumenson, L. E.; Miller, K. S. 6 1963 On the linear independence of Laplace integral solutions of certain differential equations. Zbl 0104.30703Miller, K. S.; Shapiro, H. S. 3 1961 An introduction to the calculus of finite differences and difference equations. Zbl 0089.29002Miller, Kenneth S. 3 1960 Generalized Rayleigh processes. Zbl 0082.34503Miller, K. S.; Bernstein, R. I.; Blumenson, L. E. 8 1958 Elements of modern abstract algebra. Zbl 0082.01601Miller, Kenneth S. 1 1958 Existence theorems for ordinary differential equations. Zbl 0056.31301Murray, F. J.; Miller, K. S. 6 1954 A mathematical basis for an error analysis of differential analyzers. Zbl 0052.13405Miller, K. S.; Murray, F. J. 2 1953 Partial differential equations in engineering problems. Zbl 0053.26303Miller, K. S. 2 1953 On the interference of pulse trains. Zbl 0051.43103Miller, K. S.; Schwarz, R. J. 1 1953 Self-adjoint differential systems. Zbl 0047.33104Miller, K. S. 1 1952 On the Green’s functions of ordinary differential systems. Zbl 0049.18802Miller, Kenneth S.; Schiffer, Menahem M. 1 1952 The onesided Green’s function. Zbl 0043.08801Miller, Kenneth S. 3 1951 Analysis of a sampling servo mechanism. Zbl 0038.28502Miller, Kenneth S.; Schwarz, Ralph J. 1 1950 all cited Publications top 5 cited Publications all top 5 Cited by 3,925 Authors 102 Băleanu, Dumitru I. 65 Wang, Jinrong 48 Machado, José António Tenreiro 47 Shah, Kamal 46 Momani, Shaher M. 46 Zhou, Yong 40 Benchohra, Mouffak 40 Ntouyas, Sotiris K. 34 Odibat, Zaid M. 33 Srivastava, Hari Mohan 30 Liu, Lishan 29 Trujillo, Juan J. 27 Abdeljawad, Thabet 26 Agarwal, Ravi P. 26 Kumar, Devendra 26 Nieto Roig, Juan Jose 26 Pandey, Dwijendra Narain 25 Singh, Jagdev 25 Wu, Yonghong 24 Chen, Yangquan 24 Li, Changpin 22 Abbas, Said 22 Liu, Fawang 21 Balachandran, Krishnan 21 El-Sayed, Ahmed Mohamed Ahmed 21 Tariboon, Jessada 21 Torres, Delfim Fernando Marado 18 Atangana, Abdon 17 Agarwal, Praveen 17 Ahmad, Bashir 17 Deng, Weihua 17 Ibrahim, Rabha Waell 17 Jiang, Wei 17 Khan, Rahmat Ali 17 Liu, Yuji 17 Zhang, Xinguang 16 Chu, Yuming 16 Hilal, Khalid 16 Mathai, Arakaparampli Mathai 16 Meerschaert, Mark Marvin 15 Ponce, Rodrigo F. 14 Anh, Vo V. 14 Fečkan, Michal 14 Fernandez, Arran 14 Han, Zhenlai 14 O’Regan, Donal 14 Veeresha, Pundikala 13 Almeida, Ricardo 13 Chadha, Alka 13 Dehghan Takht Fooladi, Mehdi 13 Kumar, Sunil 13 Mainardi, Francesco 13 Prakasha, Doddabhadrappla Gowda 13 Saxena, Ram Kishore 13 Yıldırım, Ahmet 12 Grace, Said Rezk 12 Kiliçman, Adem 12 Rivero, Margarita 12 Sooppy Nisar, Kottakkaran 12 Sun, Shurong 12 Suthar, Daya Lal 12 Turner, Ian William 11 Agrawal, Om Prakash 11 Al-saedi, Ahmed Eid Salem 11 Jarad, Fahd 11 Melliani, Said 11 Ouahab, Abdelghani 11 Rao, Sabbavarapu Nageswara 11 Sarikaya, Mehmet Zeki 11 Tatar, Nasser-eddine 10 Al-Mdallal, Qasem M. 10 Bai, Chuanzhi 10 Budak, Hüseyin 10 El-Nabulsi, Rami Ahmad 10 Garrappa, Roberto 10 Li, Yongjin 10 Miana, Pedro J. 10 Oustaloup, Alain 10 Rashid, Saima 10 Sadarangani, Kishin B. 9 Abbas, Syed 9 Ahmed, Hamdy M. 9 Babakhani, Azizollah 9 Bai, Zhanbing 9 Bekir, Ahmet 9 Chen, Yi 9 Daftardar-Gejji, Varsha 9 Farid, Ghulam 9 Golmankhaneh, Alireza Khalili 9 Gómez-Aguilar, José Francisco 9 Haubold, Hans Joachim 9 Jafari, Hossein 9 Jiang, Weihua 9 Kadem, Abdelouahab 9 Kalla, Shyam Lal 9 Khalouta, Ali 9 Khan, Aziz 9 Lin, Shyder 9 Lopes, António M. 9 Rahman, Ghaus Ur ...and 3,825 more Authors all top 5 Cited in 464 Serials 217 Advances in Difference Equations 186 Applied Mathematics and Computation 138 Computers & Mathematics with Applications 116 Abstract and Applied Analysis 92 Chaos, Solitons and Fractals 76 Fractional Calculus & Applied Analysis 74 Communications in Nonlinear Science and Numerical Simulation 70 Journal of Mathematical Analysis and Applications 65 Nonlinear Dynamics 54 Boundary Value Problems 53 Journal of Applied Mathematics and Computing 52 Mathematical Problems in Engineering 50 Journal of Computational and Applied Mathematics 50 Journal of Function Spaces 42 Fractals 37 Applied Mathematics Letters 36 Journal of Computational Physics 36 Mediterranean Journal of Mathematics 36 International Journal of Applied and Computational Mathematics 35 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 33 Computational and Applied Mathematics 33 Advances in Mathematical Physics 33 AIMS Mathematics 32 Mathematical Methods in the Applied Sciences 31 Applied Mathematical Modelling 30 Physics Letters. A 29 International Journal of Differential Equations 25 International Journal of Computer Mathematics 25 Discrete Dynamics in Nature and Society 24 Applied Numerical Mathematics 24 International Journal of Nonlinear Sciences and Numerical Simulation 23 Integral Transforms and Special Functions 23 Journal of Inequalities and Applications 21 Differential Equations and Dynamical Systems 21 Journal of Nonlinear Science and Applications 21 Fractional Differential Calculus 18 Journal of Mathematical Physics 18 Physica A 18 Signal Processing 18 Journal of Vibration and Control 18 International Journal of Applied Mathematics and Computer Science 18 Journal of Mathematics 18 Computational Methods for Differential Equations 16 Automatica 16 Mathematics 15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 15 Nonlinear Analysis. Modelling and Control 15 Journal of Applied Mathematics 14 Journal of the Franklin Institute 14 Mathematics and Computers in Simulation 14 Numerical Algorithms 14 Complexity 14 Journal of Applied Analysis and Computation 13 Journal of Optimization Theory and Applications 13 Proceedings of the American Mathematical Society 13 Chaos 13 Open Mathematics 12 Journal of Multivariate Analysis 11 Mathematical and Computer Modelling 11 Journal of Integral Equations and Applications 11 Filomat 11 Discrete and Continuous Dynamical Systems. Series S 11 Tbilisi Mathematical Journal 10 Computer Methods in Applied Mechanics and Engineering 10 Nonlinear Analysis. Real World Applications 9 Acta Mechanica 9 Numerical Functional Analysis and Optimization 9 Statistics & Probability Letters 9 Circuits, Systems, and Signal Processing 9 Engineering Analysis with Boundary Elements 8 International Journal of Theoretical Physics 8 Results in Mathematics 8 Linear Algebra and its Applications 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 8 Hacettepe Journal of Mathematics and Statistics 8 Thai Journal of Mathematics 8 Mathematical Sciences 7 International Journal of Modern Physics B 7 Demonstratio Mathematica 7 Russian Journal of Mathematical Physics 7 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 7 Kragujevac Journal of Mathematics 7 Boletim da Sociedade Paranaense de Matemática. Terceira Série 7 International Journal of Geometric Methods in Modern Physics 7 Asian-European Journal of Mathematics 7 International Journal of Biomathematics 7 Afrika Matematika 6 Reports on Mathematical Physics 6 Rocky Mountain Journal of Mathematics 6 Journal of Differential Equations 6 Stochastic Analysis and Applications 6 Communications in Statistics. Theory and Methods 6 Stochastic Processes and their Applications 6 International Journal of Numerical Methods for Heat & Fluid Flow 6 Entropy 6 Journal of Function Spaces and Applications 6 Bulletin of Mathematical Analysis and Applications 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 Symmetry 5 Applicable Analysis ...and 364 more Serials all top 5 Cited in 55 Fields 1,576 Ordinary differential equations (34-XX) 1,117 Real functions (26-XX) 783 Partial differential equations (35-XX) 658 Numerical analysis (65-XX) 447 Operator theory (47-XX) 294 Integral equations (45-XX) 294 Systems theory; control (93-XX) 245 Special functions (33-XX) 131 Probability theory and stochastic processes (60-XX) 123 Biology and other natural sciences (92-XX) 121 Dynamical systems and ergodic theory (37-XX) 115 Calculus of variations and optimal control; optimization (49-XX) 105 Difference and functional equations (39-XX) 95 Integral transforms, operational calculus (44-XX) 85 Statistics (62-XX) 85 Fluid mechanics (76-XX) 79 Mechanics of deformable solids (74-XX) 77 Information and communication theory, circuits (94-XX) 57 Mechanics of particles and systems (70-XX) 56 Statistical mechanics, structure of matter (82-XX) 48 Quantum theory (81-XX) 39 Global analysis, analysis on manifolds (58-XX) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 35 Approximations and expansions (41-XX) 34 Measure and integration (28-XX) 33 Computer science (68-XX) 31 Functions of a complex variable (30-XX) 29 Operations research, mathematical programming (90-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 24 Functional analysis (46-XX) 23 Optics, electromagnetic theory (78-XX) 20 Classical thermodynamics, heat transfer (80-XX) 19 Number theory (11-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 Combinatorics (05-XX) 12 Sequences, series, summability (40-XX) 12 Relativity and gravitational theory (83-XX) 9 Topological groups, Lie groups (22-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Abstract harmonic analysis (43-XX) 7 Geophysics (86-XX) 5 Differential geometry (53-XX) 5 General topology (54-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Nonassociative rings and algebras (17-XX) 3 Potential theory (31-XX) 3 Astronomy and astrophysics (85-XX) 3 Mathematics education (97-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year