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## Duffin, Richard James

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 Author ID: duffin.richard-j Published as: Duffin, R. J.; Duffin, Richard J.; Duffin, R.; Duffin, Richard External Links: MGP · Wikidata · GND
 Documents Indexed: 169 Publications since 1935, including 2 Books Biographic References: 2 Publications
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#### Co-Authors

 78 single-authored 15 Schaeffer, Albert Charles 9 Peterson, Elmor L. 7 Bourgin, David Gordon 5 Anderson, William N. jun. 5 Bhargava, S. 5 Coffman, Charles V. 5 Karlovitz, Les Andrew 5 Trapp, George E. jun. 4 Hazony, Dov 4 Morley, Thomas D. 3 Coleman, Bernard David 3 Jeroslow, Robert G. 3 Mizel, Victor J. 3 Zener, Clarence 2 Duris, Charles S. 2 Knowles, Gregory P. 2 McWhirter, J. H. 2 Morrison, Norman 2 Shaffer, D. H. 2 Weinberger, Hans Felix 1 Barnsley, Michael Fielding 1 Blair, Charles E. 1 Bott, Raoul Harry 1 Burke, V. M. 1 Chou, Weiren 1 Eachus, Joseph J. 1 Karney, Dennis F. 1 Keitzer, Elsa 1 McLain, D. K. 1 Nehari, Zeev 1 Noll, Walter 1 Pate, Robert Sewell 1 Prisman, Eliezer Z. 1 Rohrer, J. 1 Schmidt, Th. W. 1 Serbyn, W. D. 1 Shelly, E. P. 1 Whidden, Ph.
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#### Serials

 21 Bulletin of the American Mathematical Society 14 Journal of Mathematical Analysis and Applications 13 Duke Mathematical Journal 10 Archive for Rational Mechanics and Analysis 9 Proceedings of the National Academy of Sciences of the United States of America 7 Proceedings of the American Mathematical Society 6 SIAM Journal on Applied Mathematics 5 Transactions of the American Mathematical Society 5 Journal of Mathematics and Mechanics 4 Quarterly of Applied Mathematics 4 Advances in Applied Mathematics 4 Physical Review, II. Series 4 Journal of Mathematics and Physics 3 Journal of the Franklin Institute 3 American Journal of Mathematics 2 American Mathematical Monthly 2 Applicable Analysis 2 Journal of Optimization Theory and Applications 2 Mathematical Programming 2 SIAM Review 2 Journal of Combinatorial Theory 2 Journal of the Society for Industrial & Applied Mathematics 2 Journal of Rational Mechanics and Analysis 1 Houston Journal of Mathematics 1 Journal of the Australian Mathematical Society, Series B 1 The Mathematical Intelligencer 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 IEEE Transactions on Circuits and Systems 1 Indiana University Mathematics Journal 1 Mathematical Programming Study 1 Networks 1 Operations Research 1 Opsearch 1 Pacific Journal of Mathematics 1 Operations Research Letters 1 Circuits, Systems, and Signal Processing 1 The Journal of Fourier Analysis and Applications 1 Annals of Mathematics. Second Series 1 Journal of the Aerospace Sciences 1 Journal of Applied Physics 1 Management Science. Ser. A, Theory Series 1 SIAM Journal on Control 1 Istituto Lombardo, Accademia di Scienze e Lettere, Rendiconti, Sezione A 1 Annals of Mathematics Studies 1 Science
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#### Fields

 26 Operations research, mathematical programming (90-XX) 12 Information and communication theory, circuits (94-XX) 11 Partial differential equations (35-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Numerical analysis (65-XX) 7 Potential theory (31-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of deformable solids (74-XX) 4 Ordinary differential equations (34-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

136 Publications have been cited 2,684 times in 2,284 Documents Cited by Year
A class of nonharmonic Fourier series. Zbl 0049.32401
Duffin, R. J.; Schaeffer, A. C.
1952
Geometric programming. Theory and application. Zbl 0171.17601
Duffin, Richard J.; Peterson, Elmor L.; Zener, Clarence
1967
Topology of series-parallel networks. Zbl 0128.37002
Duffin, R. J.
1965
Series and parallel addition of matrices. Zbl 0177.04904
Anderson, W. N. jun.; Duffin, R. J.
1969
Basic properties of discrete analytic functions. Zbl 0070.30503
Duffin, R. J.
1956
On the characteristic matrices of covariant systems. Zbl 0020.09006
Duffin, R. J.
1938
Infinite programs. Zbl 0072.37603
Duffin, R. J.
1956
Instability, uniqueness, and nonexistence theorems for the equation $$u_t=u_{xx}-u_{xtx}$$ on a strip. Zbl 0292.35016
Coleman, Bernard D.; Duffin, Richard J.; Mizel, Victor J.
1965
A minimax theory for overdamped networks. Zbl 0068.20904
Duffin, R. J.
1955
The extremal length of a network. Zbl 0107.43604
Duffin, R. J.
1962
Khintchine’s problem in metric diophantine approximation. Zbl 0025.11002
Duffin, R. J.; Schaeffer, A. C.
1941
Geometric programming with signomials. Zbl 0238.90069
Duffin, R. J.; Peterson, E. L.
1973
The Dirichlet problem for the vibrating string equation. Zbl 0023.04201
Bourgin, D. G.; Duffin, R.
1939
An infinite linear program with a duality gap. Zbl 0133.42604
Duffin, R. J.; Karlovitz, L. A.
1965
On the algebra of networks. Zbl 0050.25104
Bott, Raoul; Duffin, R. J.
1953
Discrete potential theory. Zbl 0051.07203
Duffin, R. J.
1953
Potential theory on a rhombic lattice. Zbl 0247.31003
Duffin, R. J.
1968
Linearizing geometric programs. Zbl 0229.90047
Duffin, R. J.
1970
A refinement of an inequality of the brothers Markoff. Zbl 0025.31403
Duffin, R. J.; Schaeffer, A. C.
1941
Continuation of biharmonic functions by reflection. Zbl 0064.35201
Duffin, R. J.
1955
On a question of Hadamard concerning superbiharmonic functions. Zbl 0033.06402
Duffin, R. J.
1949
Power series with bounded coefficients. Zbl 0060.20903
Duffin, R. J.; Schaeffer, A. C.
1945
Some notes on an expansion theorem of Paley and Wiener. Zbl 0061.13405
Duffin, R. J.; Eachus, J. J.
1942
Distributed and lumped networks. Zbl 0092.20501
Duffin, R. J.
1959
On the structure of biharmonic functions satisfying the clamped plate conditions on a right angle. Zbl 0452.35002
Coffman, C. V.; Duffin, R. J.
1980
Some properties of functions of exponential type. Zbl 0018.40901
Duffin, Richard; Schaeffer, A. C.
1938
The Rayleigh-Ritz method for dissipative or gyroscopic systems. Zbl 0102.39103
Duffin, R. J.
1960
A convolution product for discrete function theory. Zbl 0126.29505
Duffin, R.; Duris, C.
1964
Algorithms for classical stability problems. Zbl 0175.09801
Duffin, R. J.
1969
The fundamental mode of vibration of a clamped annular plate is not of one sign. Zbl 0475.73049
Coffman, C. V.; Duffin, R. J.; Shaffer, D. H.
1979
Duality theory for geometric programming. Zbl 0203.21902
Duffin, R. J.; Peterson, E. L.
1966
Equipartition of energy in wave motion. Zbl 0223.35055
Duffin, R. J.
1970
Convex analysis treated by linear programming. Zbl 0259.90032
Duffin, R. J.
1973
On the fundamental eigenfunctions of a clamped punctured disk. Zbl 0762.35073
Coffman, Charles V.; Duffin, Richard J.
1992
Yukawan potential theory. Zbl 0214.36501
Duffin, R. J.
1971
Duality in semi-infinite linear programming. Zbl 0517.49026
Duffin, R. J.; Jeroslow, R. G.; Karlovitz, L. A.
1983
Almost definite operators and electro-mechanical systems. Zbl 0387.47011
Duffin, R. J.; Morley, T. D.
1978
Formulation of linear programs in analysis. I: Approximation theory. Zbl 0186.11002
Duffin, R. J.; Karlovitz, L. A.
1968
Nonlinear networks. IIa. Zbl 0032.22906
Duffin, R. J.
1947
Analytic continuation in elasticity. Zbl 0072.18901
Duffin, R. J.
1956
On the characteristic matrices of covariant systems. JFM 64.1489.03
Duffin, R. J.
1938
Parallel subtraction of matrices. Zbl 0348.15007
Anderson, W. N. jun.; Duffin, R. J.; Trapp, G. E.
1972
Matrix operations induced by network connections. Zbl 0269.94015
Anderson, William N. jun.; Duffin, Richard J.; Trapp, George E.
1975
Difference equations of polyharmonic type. Zbl 0082.08701
Duffin, R. J.; Shelly, E. P.
1958
Network synthesis through hybrid matrices. Zbl 0161.13303
Duffin, R. J.; Hazony, D.; Morrison, N.
1966
Some inequalities concerning functions of exponential type. Zbl 0017.36303
Duffin, R. J.; Schaeffer, A. C.
1937
A variational problem relating to cooling fins. Zbl 0087.09901
Duffin, R. J.
1959
On exterior boundary value problems in linear elasticity. Zbl 0088.16402
Duffin, R. J.; Noll, Walter
1958
The maximum principle and biharmonic functions. Zbl 0109.32704
Duffin, R. J.
1961
Positivity of weak solutions of non-uniformly elliptic equations. Zbl 0302.35040
Coffman, C. V.; Duffin, R. J.; Mizel, V. J.
1975
On Fourier’s analysis of linear inequality systems. Zbl 0357.90032
Duffin, R. J.
1974
An additive eigenvalue problem of physics related to linear programming. Zbl 0639.65033
Chou, Weiren; Duffin, R. J.
1987
A refinement of an inequality of the brothers Markoff. JFM 67.0213.02
Duffin, R. J.; Schaeffer, A. C.
1941
Reversed geometric programs treated by harmonic means. Zbl 0246.90044
Duffin, R. J.; Peterson, Elmor L.
1972
Nodal lines of a vibrating plate. Zbl 0050.19006
Duffin, R. J.
1953
Clark’s theorem on linear programs holds for convex programs. Zbl 0375.90059
Duffin, R. J.
1978
The Dirichlet problem for the vibrating string equation. JFM 65.0438.01
Bourgin, D. G.; Duffin, R.
1939
The degree of a rational matrix function. Zbl 0152.01502
Duffin, R. J.; Hazony, D.
1963
A convolution product for the solutions of partial difference equations. Zbl 0179.42202
Duffin, R. J.; Rohrer, J.
1968
Hybrid addition of matrices - network theory concept. Zbl 0268.15010
Duffin, R. J.; Trapp, G. E.
1972
Asymptotic expansion of double Fourier transforms. Zbl 0096.31001
Duffin, R. J.; Shaffer, D. H.
1960
Khintchine’s problem in metric diophantine approximation. JFM 67.0145.03
Duffin, R. J.; Schaeffer, A. C.
1941
Chrystal’s theorem on differential equation systems. Zbl 0125.04701
Duffin, R. J.
1964
Lagrangean functions and affine minorants. Zbl 0448.90064
Duffin, R. J.; Jeroslow, R. G.
1981
Geometric programs treated with slack variables. Zbl 0266.90055
Duffin, R. J.; Peterson, Elmor L.
1972
On some inequalities of S. Bernstein and W. Markoff for derivatives of polynomials. Zbl 0018.39503
Schaeffer, A. C.; Duffin, R. J.
1938
An extrapolator and scrutator. Zbl 0096.34401
Duffin, R. J.; Schmidt, Th. W.
1960
An analysis of the Wang algebra of networks. Zbl 0114.06503
Duffin, R. J.
1959
An exponomial extrapolator. Zbl 0123.12103
Duffin, R. J.; Whidden, Ph.
1961
Cost minimization problems treated by geometric means. Zbl 0118.14904
Duffin, R. J.
1962
Nonlinear networks. IIb. Zbl 0032.23001
Duffin, R. J.
1948
Representation of Fourier integrals as sums. II. Zbl 0037.19802
Duffin, R. J.
1950
Nonlinear networks. I. Zbl 0063.01176
Duffin, R. J.
1946
Note on polyharmonic functions. Zbl 0097.08504
Duffin, R. J.; Nehari, Zeev
1961
Dual programs and minimum cost. Zbl 0106.13905
Duffin, R. J.
1962
A limiting infisup theorem. Zbl 0458.90061
Blair, C. E.; Duffin, R. J.; Jeroslow, R. G.
1982
Discrete analytic continuation of solutions of difference equations. Zbl 0144.08401
Duffin, R. J.; Duris, C. S.
1964
The discrete analogue of a class of entire functions. Zbl 0159.37302
Duffin, R. J.; Peterson, E. L.
1968
Extrapolating time series by discounted least squares. Zbl 0161.38304
Duffin, R. J.
1967
Stability of systems with nonlinear damping. Zbl 0167.37701
Duffin, R. J.
1968
Hilbert transforms in Yukawan potential theory. Zbl 0243.31003
Duffin, R. J.
1972
Nonlinear networks. III. Zbl 0032.23002
Duffin, R. J.
1949
Nonlinear networks. IV. Zbl 0036.41601
Duffin, R. J.
1950
Representation of Fourier integrals as sums. I. Zbl 0060.25606
Duffin, R. J.
1945
Impossible behavior of nonlinear networks. Zbl 0068.20901
Duffin, R. J.
1955
Representation of Fourier integrals as sums. III. Zbl 0078.09804
Duffin, R. J.
1957
Pseudo-Hamiltonian mechanics. Zbl 0106.37402
Duffin, R. J.
1962
Free suspension and Earnshaw’s theorem. Zbl 0123.23703
Duffin, R. J.
1963
On dualizing a multivariable Poisson summation formula. Zbl 0892.42002
Duffin, Richard J.; Weinberger, Hans F.
1997
Rubel’s universal differential equation. Zbl 0463.41012
Duffin, R. J.
1981
Optimum shape of a cooling fin on a convex cylinder. Zbl 0153.15701
Duffin, R. J.; McLain, D. K.
1968
Optimum heat transfer and network programming. Zbl 0153.15801
Duffin, R. J.
1968
Reversed geometric programs treated by harmonic means. Zbl 0234.90062
Duffin, R. J.; Peterson, Elmor L.
1972
Network models. Zbl 0239.94031
Duffin, R. J.
1971
Network models for maximization of heat transfer under weight constraints. Zbl 0258.90020
Bhargava, S.; Duffin, R. J.
1972
Some problems o f mathematics and science. Zbl 0302.35059
Duffin, R. J.
1974
Electrical network models. Zbl 0327.94027
Duffin, R. J.
1975
Convex programs having some linear constraints. Zbl 0348.90097
Duffin, R. J.
1977
Dualizing the Poisson summation formula. Zbl 0771.42001
Duffin, Richard J.; Weinberger, Hans F.
1991
The potential energy of an electric charge. Zbl 0119.08804
Duffin, R. J.
1964
On dualizing a multivariable Poisson summation formula. Zbl 0892.42002
Duffin, Richard J.; Weinberger, Hans F.
1997
On the fundamental eigenfunctions of a clamped punctured disk. Zbl 0762.35073
Coffman, Charles V.; Duffin, Richard J.
1992
Dualizing the Poisson summation formula. Zbl 0771.42001
Duffin, Richard J.; Weinberger, Hans F.
1991
Lines of best fit by graphics and the Wald line. Zbl 0800.62011
Duffin, R. J.
1991
An additive eigenvalue problem of physics related to linear programming. Zbl 0639.65033
Chou, Weiren; Duffin, R. J.
1987
The Markoff-Duffin-Schaeffer inequalities abstracted. Zbl 0563.41016
Duffin, R. J.; Karlovitz, L. A.
1985
Duality in semi-infinite linear programming. Zbl 0517.49026
Duffin, R. J.; Jeroslow, R. G.; Karlovitz, L. A.
1983
Numerical estimation of optima by use of duality inequalities. Zbl 0521.90084
Duffin, R. J.
1983
A limiting infisup theorem. Zbl 0458.90061
Blair, C. E.; Duffin, R. J.; Jeroslow, R. G.
1982
Inequalities induced by network connections. Zbl 0494.94017
Duffin, R. J.; Morley, T. D.
1982
Lagrangean functions and affine minorants. Zbl 0448.90064
Duffin, R. J.; Jeroslow, R. G.
1981
Rubel’s universal differential equation. Zbl 0463.41012
Duffin, R. J.
1981
Transformations that aid numerical solution of nonlinear programs. Zbl 0475.90073
Duffin, R. J.
1981
On the structure of biharmonic functions satisfying the clamped plate conditions on a right angle. Zbl 0452.35002
Coffman, C. V.; Duffin, R. J.
1980
Bounds for the rth characteristic frequency of a beaded string or of an electrical filter. Zbl 0435.15009
Barnsley, Michael F.; Duffin, Richard J.
1980
The fundamental mode of vibration of a clamped annular plate is not of one sign. Zbl 0475.73049
Coffman, C. V.; Duffin, R. J.; Shaffer, D. H.
1979
Some problems arising from mathematical models. Zbl 0444.93002
Duffin, R. J.
1979
Almost definite operators and electro-mechanical systems. Zbl 0387.47011
Duffin, R. J.; Morley, T. D.
1978
Clark’s theorem on linear programs holds for convex programs. Zbl 0375.90059
Duffin, R. J.
1978
Algorithms for localizing roots of a polynomial and the Pisot Vijayaraghavan numbers. Zbl 0381.12001
Duffin, R. J.
1978
Wang algebra and matroids. Zbl 0392.94015
Duffin, Richard J.; Morley, T. D.
1978
Convex programs having some linear constraints. Zbl 0348.90097
Duffin, R. J.
1977
Distortionless wave propagation in inhomogeneous media and transmission lines. Zbl 0334.35045
Burke, V.; Duffin, R. J.; Hazony, D.
1976
Matrix operations induced by network connections. Zbl 0269.94015
Anderson, William N. jun.; Duffin, Richard J.; Trapp, George E.
1975
Positivity of weak solutions of non-uniformly elliptic equations. Zbl 0302.35040
Coffman, C. V.; Duffin, R. J.; Mizel, V. J.
1975
Electrical network models. Zbl 0327.94027
Duffin, R. J.
1975
On Fourier’s analysis of linear inequality systems. Zbl 0357.90032
Duffin, R. J.
1974
Some problems o f mathematics and science. Zbl 0302.35059
Duffin, R. J.
1974
Vibration of a beaded string analyzed topologically. Zbl 0297.70021
Duffin, R. J.
1974
An integral equation formulation of Maxwell’s equations. Zbl 0321.45003
Duffin, R. J.; McWhirter, J. H.
1974
Geometric programming with signomials. Zbl 0238.90069
Duffin, R. J.; Peterson, E. L.
1973
Convex analysis treated by linear programming. Zbl 0259.90032
Duffin, R. J.
1973
Dual extremum principles relating to optimum beam design. Zbl 0261.73035
Bhargava, S.; Duffin, R. J.
1973
Dual extremum principles relating to cooling fins. Zbl 0261.49011
Bhargava, S.; Duffin, R. J.
1973
On the nonlinear method of Wilkins for cooling fin optimization. Zbl 0256.34021
Bhargava, S.; Duffin, R. J.
1973
Parallel subtraction of matrices. Zbl 0348.15007
Anderson, W. N. jun.; Duffin, R. J.; Trapp, G. E.
1972
Reversed geometric programs treated by harmonic means. Zbl 0246.90044
Duffin, R. J.; Peterson, Elmor L.
1972
Hybrid addition of matrices - network theory concept. Zbl 0268.15010
Duffin, R. J.; Trapp, G. E.
1972
Geometric programs treated with slack variables. Zbl 0266.90055
Duffin, R. J.; Peterson, Elmor L.
1972
Hilbert transforms in Yukawan potential theory. Zbl 0243.31003
Duffin, R. J.
1972
Reversed geometric programs treated by harmonic means. Zbl 0234.90062
Duffin, R. J.; Peterson, Elmor L.
1972
Network models for maximization of heat transfer under weight constraints. Zbl 0258.90020
Bhargava, S.; Duffin, R. J.
1972
Geometric programming – theory and application. Übersetzung aus dem Englischen von D. A. Babaev. (Геометрическое программирование.) Zbl 0236.90062
Duffin, Richard J.; Peterson, Elmor L.; Zener, Clarence
1972
The proximity of (algebraic) geometric programming to linear programming. Zbl 0245.90016
Duffin, R. J.; Peterson, Elmor L.
1972
Yukawan potential theory. Zbl 0214.36501
Duffin, R. J.
1971
Network models. Zbl 0239.94031
Duffin, R. J.
1971
Linearizing geometric programs. Zbl 0229.90047
Duffin, R. J.
1970
Equipartition of energy in wave motion. Zbl 0223.35055
Duffin, R. J.
1970
Duality inequalities of mathematics and science. Zbl 0227.90052
Duffin, R. J.
1970
Series and parallel addition of matrices. Zbl 0177.04904
Anderson, W. N. jun.; Duffin, R. J.
1969
Algorithms for classical stability problems. Zbl 0175.09801
Duffin, R. J.
1969
Geometric programming, chemical equilibrium, and the antientropy function. Zbl 0182.53103
Duffin, R. J.; Zener, C.
1969
Potential theory on a rhombic lattice. Zbl 0247.31003
Duffin, R. J.
1968
Formulation of linear programs in analysis. I: Approximation theory. Zbl 0186.11002
Duffin, R. J.; Karlovitz, L. A.
1968
A convolution product for the solutions of partial difference equations. Zbl 0179.42202
Duffin, R. J.; Rohrer, J.
1968
The discrete analogue of a class of entire functions. Zbl 0159.37302
Duffin, R. J.; Peterson, E. L.
1968
Stability of systems with nonlinear damping. Zbl 0167.37701
Duffin, R. J.
1968
Optimum shape of a cooling fin on a convex cylinder. Zbl 0153.15701
Duffin, R. J.; McLain, D. K.
1968
Optimum heat transfer and network programming. Zbl 0153.15801
Duffin, R. J.
1968
Estimating Dirichlet’s integral and electrical conductance for systems which are not self-adjoint. Zbl 0159.40604
Duffin, R. J.
1968
Geometric programming. Theory and application. Zbl 0171.17601
Duffin, Richard J.; Peterson, Elmor L.; Zener, Clarence
1967
Extrapolating time series by discounted least squares. Zbl 0161.38304
Duffin, R. J.
1967
An orthogonality theorem of Dines related to moment problems and linear programming. Zbl 0168.18204
Duffin, R. J.
1967
The potential energy of an electric charge is a superharmonic function. Zbl 0152.11605
Duffin, R. J.; Schild, A.
1967
Duality theory for geometric programming. Zbl 0203.21902
Duffin, R. J.; Peterson, E. L.
1966
Network synthesis through hybrid matrices. Zbl 0161.13303
Duffin, R. J.; Hazony, D.; Morrison, N.
1966
Network synthesis using the gyration operator. Zbl 0171.37901
Duffin, R. J.; Hazony, D.; Morrison, N.
1966
Topology of series-parallel networks. Zbl 0128.37002
Duffin, R. J.
1965
Instability, uniqueness, and nonexistence theorems for the equation $$u_t=u_{xx}-u_{xtx}$$ on a strip. Zbl 0292.35016
Coleman, Bernard D.; Duffin, Richard J.; Mizel, Victor J.
1965
An infinite linear program with a duality gap. Zbl 0133.42604
Duffin, R. J.; Karlovitz, L. A.
1965
A convolution product for discrete function theory. Zbl 0126.29505
Duffin, R.; Duris, C.
1964
Chrystal’s theorem on differential equation systems. Zbl 0125.04701
Duffin, R. J.
1964
Discrete analytic continuation of solutions of difference equations. Zbl 0144.08401
Duffin, R. J.; Duris, C. S.
1964
The potential energy of an electric charge. Zbl 0119.08804
Duffin, R. J.
1964
The degree of a rational matrix function. Zbl 0152.01502
Duffin, R. J.; Hazony, D.
1963
Free suspension and Earnshaw’s theorem. Zbl 0123.23703
Duffin, R. J.
1963
The extremal length of a network. Zbl 0107.43604
Duffin, R. J.
1962
Cost minimization problems treated by geometric means. Zbl 0118.14904
Duffin, R. J.
1962
Dual programs and minimum cost. Zbl 0106.13905
Duffin, R. J.
1962
Pseudo-Hamiltonian mechanics. Zbl 0106.37402
Duffin, R. J.
1962
The maximum principle and biharmonic functions. Zbl 0109.32704
Duffin, R. J.
1961
An exponomial extrapolator. Zbl 0123.12103
Duffin, R. J.; Whidden, Ph.
1961
Note on polyharmonic functions. Zbl 0097.08504
Duffin, R. J.; Nehari, Zeev
1961
Orthogonal saw-tooth functions. Zbl 0101.29501
Duffin, R. J.
1961
The Rayleigh-Ritz method for dissipative or gyroscopic systems. Zbl 0102.39103
Duffin, R. J.
1960
Asymptotic expansion of double Fourier transforms. Zbl 0096.31001
Duffin, R. J.; Shaffer, D. H.
1960
An extrapolator and scrutator. Zbl 0096.34401
Duffin, R. J.; Schmidt, Th. W.
1960
Distributed and lumped networks. Zbl 0092.20501
Duffin, R. J.
1959
A variational problem relating to cooling fins. Zbl 0087.09901
Duffin, R. J.
1959
An analysis of the Wang algebra of networks. Zbl 0114.06503
Duffin, R. J.
1959
Difference equations of polyharmonic type. Zbl 0082.08701
Duffin, R. J.; Shelly, E. P.
1958
On exterior boundary value problems in linear elasticity. Zbl 0088.16402
Duffin, R. J.; Noll, Walter
1958
Representation of Fourier integrals as sums. III. Zbl 0078.09804
Duffin, R. J.
1957
Exponential decay in nonlinear networks. Zbl 0077.08905
Duffin, R. J.
1957
A note on Poisson’s integral. Zbl 0079.12202
Duffin, R. J.
1957
Two-dimensional Hilbert transforms. Zbl 0077.30605
Duffin, R. J.
1957
Basic properties of discrete analytic functions. Zbl 0070.30503
Duffin, R. J.
1956
Infinite programs. Zbl 0072.37603
Duffin, R. J.
1956
Analytic continuation in elasticity. Zbl 0072.18901
Duffin, R. J.
1956
Formulae relating some equivalent networks. Zbl 0071.41501
Duffin, R. J.; Keitzer, Elsa
1956
...and 36 more Documents
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#### Cited in 480 Serials

 153 Journal of Mathematical Analysis and Applications 94 Linear Algebra and its Applications 61 Journal of Optimization Theory and Applications 40 Proceedings of the American Mathematical Society 40 European Journal of Operational Research 40 Applied and Computational Harmonic Analysis 37 Mathematical Programming 37 The Journal of Fourier Analysis and Applications 36 Archive for Rational Mechanics and Analysis 36 Discrete Applied Mathematics 34 Transactions of the American Mathematical Society 30 Journal of Approximation Theory 30 Journal of Functional Analysis 24 Applied Mathematics and Computation 21 Journal of Computational and Applied Mathematics 20 Results in Mathematics 20 Advances in Applied Mathematics 20 Mathematical Programming. Series A. Series B 19 International Journal of Wavelets, Multiresolution and Information Processing 18 Applicable Analysis 18 Discrete Mathematics 18 Journal of Mathematical Physics 18 Advances in Computational Mathematics 17 Linear and Multilinear Algebra 17 Advances in Mathematics 16 Journal of the Franklin Institute 16 Journal of Differential Equations 16 Complex Analysis and Operator Theory 16 Sahand Communications in Mathematical Analysis 15 Acta Mathematica Sinica. English Series 13 International Journal of Theoretical Physics 13 Annali di Matematica Pura ed Applicata. Serie Quarta 13 Integral Equations and Operator Theory 13 Circuits, Systems, and Signal Processing 13 Optimization 13 Journal of Mathematical Sciences (New York) 12 Journal d’Analyse Mathématique 12 Mathematische Zeitschrift 11 Israel Journal of Mathematics 11 Mathematical Notes 11 Mathematics of Computation 11 Journal of Combinatorial Theory. Series B 11 Mathematika 11 SIAM Journal on Algebraic and Discrete Methods 10 Applied Mathematical Modelling 10 Advances in Applied Clifford Algebras 10 Physical Review, II. Series 9 Bulletin of the Australian Mathematical Society 9 Computers & Mathematics with Applications 9 Journal of Geometry and Physics 9 Mathematische Annalen 9 Numerical Functional Analysis and Optimization 9 Numerische Mathematik 9 Mediterranean Journal of Mathematics 9 Bulletin of the American Mathematical Society 9 Advances in High Energy Physics 8 Rocky Mountain Journal of Mathematics 8 Operations Research Letters 8 Acta Mathematica Hungarica 8 Acta Applicandae Mathematicae 8 Abstract and Applied Analysis 8 Positivity 8 Proceedings of the Steklov Institute of Mathematics 8 Banach Journal of Mathematical Analysis 8 Journal of Function Spaces 7 Chaos, Solitons and Fractals 7 Journal of Number Theory 7 Monatshefte für Mathematik 7 Siberian Mathematical Journal 7 Applied Numerical Mathematics 7 Journal of Inequalities and Applications 7 Journal of Linear and Topological Algebra 6 Modern Physics Letters A 6 Acta Mechanica 6 Communications in Mathematical Physics 6 Information Processing Letters 6 Journal of Computational Physics 6 Journal of Statistical Physics 6 Ukrainian Mathematical Journal 6 Duke Mathematical Journal 6 Inventiones Mathematicae 6 Theoretical Computer Science 6 Probability Theory and Related Fields 6 Constructive Approximation 6 Applied Mathematics Letters 6 Mathematical and Computer Modelling 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Optimization and Engineering 6 Nonlinear Analysis. Theory, Methods & Applications 5 Computer Methods in Applied Mechanics and Engineering 5 Indian Journal of Pure & Applied Mathematics 5 International Journal of Systems Science 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Archiv der Mathematik 5 Compositio Mathematica 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 European Journal of Combinatorics 5 Discrete & Computational Geometry 5 Annals of Operations Research ...and 380 more Serials
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#### Cited in 59 Fields

 541 Harmonic analysis on Euclidean spaces (42-XX) 417 Operations research, mathematical programming (90-XX) 237 Functional analysis (46-XX) 232 Partial differential equations (35-XX) 218 Numerical analysis (65-XX) 210 Operator theory (47-XX) 167 Linear and multilinear algebra; matrix theory (15-XX) 157 Combinatorics (05-XX) 138 Information and communication theory, circuits (94-XX) 130 Approximations and expansions (41-XX) 127 Functions of a complex variable (30-XX) 84 Quantum theory (81-XX) 80 Number theory (11-XX) 79 Calculus of variations and optimal control; optimization (49-XX) 65 Potential theory (31-XX) 62 Computer science (68-XX) 59 Mechanics of deformable solids (74-XX) 58 Ordinary differential equations (34-XX) 57 Probability theory and stochastic processes (60-XX) 52 Convex and discrete geometry (52-XX) 44 Fluid mechanics (76-XX) 40 Systems theory; control (93-XX) 38 Real functions (26-XX) 38 Statistical mechanics, structure of matter (82-XX) 34 Difference and functional equations (39-XX) 33 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Measure and integration (28-XX) 29 Abstract harmonic analysis (43-XX) 29 Statistics (62-XX) 28 Dynamical systems and ergodic theory (37-XX) 26 Mechanics of particles and systems (70-XX) 24 Differential geometry (53-XX) 19 Global analysis, analysis on manifolds (58-XX) 17 Relativity and gravitational theory (83-XX) 15 Associative rings and algebras (16-XX) 15 Special functions (33-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 13 Several complex variables and analytic spaces (32-XX) 12 Algebraic geometry (14-XX) 12 Integral transforms, operational calculus (44-XX) 12 Manifolds and cell complexes (57-XX) 11 Topological groups, Lie groups (22-XX) 11 Integral equations (45-XX) 10 Biology and other natural sciences (92-XX) 9 Optics, electromagnetic theory (78-XX) 8 Mathematical logic and foundations (03-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 History and biography (01-XX) 7 Field theory and polynomials (12-XX) 6 General topology (54-XX) 5 Group theory and generalizations (20-XX) 4 General and overarching topics; collections (00-XX) 4 Sequences, series, summability (40-XX) 4 Geometry (51-XX) 3 Commutative algebra (13-XX) 3 Nonassociative rings and algebras (17-XX) 3 Geophysics (86-XX) 2 Mathematics education (97-XX) 1 Category theory; homological algebra (18-XX)

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