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Van der Pol, Balthasar (b. 1889 d. 1959)

Author ID: van-der-pol.balthasar Recent zbMATH articles by "Van der Pol, Balthasar"
Published as: van der Pol, Balth.; Van der Pol, B.; Van der Pol, Balth.; van der Pol, B.; van der Pol, Balthasar; Van der Pol, B. jun.; van der Pol, Balth; Van der Pol, Balth
Further Spellings: Pol, Balthasar van der
External Links: MacTutor · MGP · Wikidata · GND · IdRef
Documents Indexed: 61 Publications since 1925, including 6 Books
1 Contribution as Editor · 2 Further Contributions
Biographic References: 7 Publications
Co-Authors: 13 Co-Authors with 27 Joint Publications
38 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

28 Publications have been cited 245 times in 227 Documents Cited by Year
Probability and related topics in physical sciences. With special lectures by G. E. Uhlenbeck, A. R. Hibbs and Balth. van der Pol. Zbl 0087.33003
Kac, Mark
246
1959
Operational calculus based on the two-sided Laplace integral. Zbl 0040.20403
van der Pol, Balth.; Bremmer, H.
54
1950
The nonlinear theory of electric oscillations. Zbl 0009.42107
Van der Pol, Balth.
35
1934
Operational calculus based on the twosided Laplace integral. 2nd ed. Zbl 0066.09101
van der Pol, Balth.; Bremmer, H.
27
1955
Operational calculus based on the two-sided Laplace integral. Zbl 0132.08402
van der Pol, B.; Bremmer, H.
25
1964
On the stability of the solutions of Mathieu’s equation. JFM 54.0469.02
Van der Pol, B.; Strutt, M. J. O.
24
1928
On a nonlinear partial differential equation satisfied by the logarithm of the jacobian theta-functions, with arithmetical applications. I, II. Zbl 0042.27301
van der Pol, Balth.
16
1951
Selected scientific papers. Vol. I, II. Zbl 0100.39405
van der Pol, Balthasar
8
1960
Operational calculus based on the two-sided Laplace integral. 3rd ed. Zbl 0636.44004
van der Pol, Balth.; Bremmer, H.
6
1987
On the operational solution of linear differential equations and an investigation of the properties of these solutions. JFM 55.0255.04
Van der Pol, B.
6
1929
On simultaneous operational calculus. Zbl 0001.13401
Van der Pol, Balth.; Niessen, K. F.
5
1931
Theory of the reflection of the light from a point source by a finitely conducting flat mirror, with an application to radiotelegraphy. Zbl 0012.18904
van der Pol, Balth.
5
1935
An electromechanical investigation of the Riemann zeta function in the critical strip. Zbl 0032.21602
van der Pol, Balth.
5
1947
Symbolic calculus. Zbl 0004.10701
Van der Pol, Balth; Niessen, K. F.
4
1932
A simple proof and an extension of Heaviside’s operational calculus for invariable systems. JFM 55.0487.06
Van der Pol, B.
3
1929
On a generalisation of the non-linear differential equation \(d^2u/dt^2 - \varepsilon (1 - u^2) du/dt + u = 0\). Zbl 0084.29903
van der Pol, Balth.
3
1957
The diffraction of electromagnetic waves from an electrical point source round a finitely conducting sphere, with applications to radiotelegraphy and the theory of the rainbow. I, II. JFM 63.1051.01
Van der Pol, B.; Bremmer, H.
2
1937
Theory of the reflection of the light from a point source by a finitely conducting flat mirror, with an application to radio telegraphy. JFM 61.1280.03
Van der Pol, B.
2
1935
Note on the gamma function. Zbl 0058.05702
van der Pol, B.
2
1954
The representation of numbers as sums of eight, sixteen and twenty-four squares. Zbl 0055.27203
van der Pol, Balth.
2
1954
Tchebycheff polynomials and their relation to circular functions, Besselfunctions and Lissajous-figures. Zbl 0008.07004
Van der Pol, Balth.; Weijers, Th. J.
2
1933
A generalization of Maxwell’s definition of solid harmonics to waves in \(n\) dimensions. Zbl 0014.11403
van der Pol, Balth.
2
1936
The diffraction of electromagnetic waves from an electrical point source round a finitely conducting sphere, with applications to radiotelegraphy and the theory of the rainbow. I. Zbl 0017.16703
van der Pol, Balth.; Bremmer, H.
2
1937
Application of the operational or symbolic calculus to the theory of prime numbers. JFM 64.0981.03
Van der Pol, B.
1
1938
Equations différentielles linéaires verifiees par certaines fonctions modulaires elliptiques. Zbl 0072.30102
Touchard, J.; van der Pol, Balth.
1
1956
Analytic treatment of real functions given in discrete points only. Zbl 0136.13501
van der Pol, B.
1
1959
Über die Ausbreitung elektromagnetischer Wellen. Zbl 0001.29503
Van der Pol, Balth.
1
1931
The diffraction of electromagnetic waves from an electrical point source round a finitely conducting sphere, with applications to radiotelegraphy and the theory of the rainbow. II. Zbl 0018.33401
van der Pol, Balth.; Bremmer, H.
1
1937
Operational calculus based on the two-sided Laplace integral. 3rd ed. Zbl 0636.44004
van der Pol, Balth.; Bremmer, H.
6
1987
Operational calculus based on the two-sided Laplace integral. Zbl 0132.08402
van der Pol, B.; Bremmer, H.
25
1964
Selected scientific papers. Vol. I, II. Zbl 0100.39405
van der Pol, Balthasar
8
1960
Probability and related topics in physical sciences. With special lectures by G. E. Uhlenbeck, A. R. Hibbs and Balth. van der Pol. Zbl 0087.33003
Kac, Mark
246
1959
Analytic treatment of real functions given in discrete points only. Zbl 0136.13501
van der Pol, B.
1
1959
On a generalisation of the non-linear differential equation \(d^2u/dt^2 - \varepsilon (1 - u^2) du/dt + u = 0\). Zbl 0084.29903
van der Pol, Balth.
3
1957
Equations différentielles linéaires verifiees par certaines fonctions modulaires elliptiques. Zbl 0072.30102
Touchard, J.; van der Pol, Balth.
1
1956
Operational calculus based on the twosided Laplace integral. 2nd ed. Zbl 0066.09101
van der Pol, Balth.; Bremmer, H.
27
1955
Note on the gamma function. Zbl 0058.05702
van der Pol, B.
2
1954
The representation of numbers as sums of eight, sixteen and twenty-four squares. Zbl 0055.27203
van der Pol, Balth.
2
1954
On a nonlinear partial differential equation satisfied by the logarithm of the jacobian theta-functions, with arithmetical applications. I, II. Zbl 0042.27301
van der Pol, Balth.
16
1951
Operational calculus based on the two-sided Laplace integral. Zbl 0040.20403
van der Pol, Balth.; Bremmer, H.
54
1950
An electromechanical investigation of the Riemann zeta function in the critical strip. Zbl 0032.21602
van der Pol, Balth.
5
1947
Application of the operational or symbolic calculus to the theory of prime numbers. JFM 64.0981.03
Van der Pol, B.
1
1938
The diffraction of electromagnetic waves from an electrical point source round a finitely conducting sphere, with applications to radiotelegraphy and the theory of the rainbow. I, II. JFM 63.1051.01
Van der Pol, B.; Bremmer, H.
2
1937
The diffraction of electromagnetic waves from an electrical point source round a finitely conducting sphere, with applications to radiotelegraphy and the theory of the rainbow. I. Zbl 0017.16703
van der Pol, Balth.; Bremmer, H.
2
1937
The diffraction of electromagnetic waves from an electrical point source round a finitely conducting sphere, with applications to radiotelegraphy and the theory of the rainbow. II. Zbl 0018.33401
van der Pol, Balth.; Bremmer, H.
1
1937
A generalization of Maxwell’s definition of solid harmonics to waves in \(n\) dimensions. Zbl 0014.11403
van der Pol, Balth.
2
1936
Theory of the reflection of the light from a point source by a finitely conducting flat mirror, with an application to radiotelegraphy. Zbl 0012.18904
van der Pol, Balth.
5
1935
Theory of the reflection of the light from a point source by a finitely conducting flat mirror, with an application to radio telegraphy. JFM 61.1280.03
Van der Pol, B.
2
1935
The nonlinear theory of electric oscillations. Zbl 0009.42107
Van der Pol, Balth.
35
1934
Tchebycheff polynomials and their relation to circular functions, Besselfunctions and Lissajous-figures. Zbl 0008.07004
Van der Pol, Balth.; Weijers, Th. J.
2
1933
Symbolic calculus. Zbl 0004.10701
Van der Pol, Balth; Niessen, K. F.
4
1932
On simultaneous operational calculus. Zbl 0001.13401
Van der Pol, Balth.; Niessen, K. F.
5
1931
Über die Ausbreitung elektromagnetischer Wellen. Zbl 0001.29503
Van der Pol, Balth.
1
1931
On the operational solution of linear differential equations and an investigation of the properties of these solutions. JFM 55.0255.04
Van der Pol, B.
6
1929
A simple proof and an extension of Heaviside’s operational calculus for invariable systems. JFM 55.0487.06
Van der Pol, B.
3
1929
On the stability of the solutions of Mathieu’s equation. JFM 54.0469.02
Van der Pol, B.; Strutt, M. J. O.
24
1928
all top 5

Cited by 297 Authors

9 Georgiadis, H. G.
7 Brock, Louis M.
7 Broer, Henk W.
6 Hijjawi, Raed S.
6 Khalifeh, J. M.
4 Asad, Jihad H.
4 Erdélyi, Arthur
4 Hillion, Pierre T. M.
4 Nazemi, Alireza
3 Anagnostou, D. S.
3 Deakin, Michael A. B.
3 Giné, Jaume
3 Gourgiotis, Panos A.
3 Hoveijn, Igor
3 Lampe, Bernhard P.
3 Longman, I. M.
3 Ludkovsky, Sergey Victor
3 O’Neil, Michael
3 Rosenwasser, Efim N.
3 Sakaji, A. J.
3 Sebbar, Ahmed
2 Belley, Jean-Marc
2 Chen, Hebai
2 Choi, Jae Gil
2 de Hoop, Adrianus T.
2 Devaraj, Ponnaian
2 Ferčec, Brigita
2 Fliess, Michel
2 Gerard, Alain
2 Greengard, Leslie F.
2 Gupta, Suresh C.
2 Handelsman, Richard A.
2 Hosseinpour, Soleiman
2 Insperger, Tamás
2 Ku, Yu-Hsiung
2 Kühn, Christian
2 Levi, Mark L.
2 Lew, John S.
2 Maslov, Viktor Pavlovich
2 Matsuda, Kazuhide
2 Mitri, F. G.
2 Owaidat, M. Q.
2 Rajpoot, Manoj K.
2 Resnikoff, Howard L.
2 Sanjuán, Miguel A. F.
2 Sartori, Rinaldo
2 Simó, Carles
2 Srivastava, Hari Mohan
2 Stépán, Gábor
2 Tang, Yilei
2 Tohidi, Emran
2 van Noort, Martijn
2 Vegter, Gert
1 Abate, Joseph
1 Ablowitz, Mark Jay
1 Adam, John A.
1 Adawi, I.
1 Adolfsson, Klas
1 Agarwalla, Snigdha
1 Alaca, Ayşe
1 Alaca, Şaban
1 Allwright, D. J.
1 Bacigalupo, Andrea
1 Bahar, Leon Y.
1 Baltanás, José P.
1 Barakat, Richard
1 Bayan, Nima
1 Bendiksen, Oddvar O.
1 Bereanu, Bernard
1 Berg, Jordan M.
1 Berglund, Nils
1 Bhumkar, Yogesh G.
1 Bobrenkov, Oleg A.
1 Boichuk, I. A.
1 Bondo, É.
1 Booker, John Robert
1 Boreale, Michele
1 Borwein, Jonathan Michael
1 Bradley, David M.
1 Brainard, J. G.
1 Brillouin, Leon
1 Brimacombe, Chris
1 Buschman, Robert George
1 Butcher, Eric A.
1 Canale, Eduardo A.
1 Canıvar, Aynur
1 Cervigni, Italo
1 Chabi Orou, Jean B.
1 Chakravarty, Sarbarish
1 Chandhuri, J.
1 Chang, Seung Jun
1 Chen, Lijuan
1 Chen, Zhanbo
1 Chowla, Sarvadaman
1 Chuĭko, Sergeĭ Mikhaĭlovich
1 Collado, M. Joaquin
1 Collodi, Luisa
1 Corless, Robert Malcolm
1 Crandall, Richard E.
1 Czachor, Marek
...and 197 more Authors
all top 5

Cited in 123 Serials

9 Wave Motion
7 Journal of the Franklin Institute
6 Journal of Mathematical Analysis and Applications
5 Acta Mechanica
5 International Journal of Engineering Science
5 Journal of Computational and Applied Mathematics
5 Mathematische Zeitschrift
4 Archive for History of Exact Sciences
4 Journal of Mathematical Physics
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Journal of Differential Equations
4 Mathematics and Mechanics of Solids
4 Nonlinear Dynamics
4 Communications in Nonlinear Science and Numerical Simulation
3 Archive for Rational Mechanics and Analysis
3 International Journal of Theoretical Physics
3 Physics Reports
3 Chaos, Solitons and Fractals
3 Applied Mathematics and Computation
3 Compositio Mathematica
3 Annals of Physics
3 Journal of Elasticity
3 Journal of Mathematical Sciences (New York)
3 Integral Transforms and Special Functions
3 European Journal of Control
3 The Ramanujan Journal
3 Discrete and Continuous Dynamical Systems. Series B
2 Modern Physics Letters B
2 International Journal of Modern Physics B
2 Computers and Fluids
2 Fluid Dynamics
2 Mathematics of Computation
2 Automatica
2 Mathematische Annalen
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Rendiconti del Seminario Matemàtico e Fisico di Milano
2 Physica D
2 SIAM Journal on Applied Mathematics
2 SIAM Review
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Journal of Statistical Mechanics: Theory and Experiment
2 Bulletin of the American Mathematical Society
2 Monatshefte für Mathematik und Physik
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 Ingenieur-Archiv
1 International Journal of Mathematical Education in Science and Technology
1 International Journal of Systems Science
1 Journal of Applied Mathematics and Mechanics
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Journal of the Mechanics and Physics of Solids
1 Journal of Statistical Physics
1 Lithuanian Mathematical Journal
1 The Mathematical Gazette
1 Reports on Mathematical Physics
1 Theoretical and Mathematical Physics
1 Journal of Geometry and Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Aplikace Matematiky
1 International Journal of Circuit Theory and Applications
1 International Journal for Numerical Methods in Engineering
1 Inventiones Mathematicae
1 Journal of Number Theory
1 Manuscripta Mathematica
1 Osaka Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Studies in Applied Mathematics
1 Transactions of the American Mathematical Society
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 Statistics
1 Japan Journal of Applied Mathematics
1 Applied Mathematics Letters
1 Queueing Systems
1 Forum Mathematicum
1 Applied Mathematical Modelling
1 Historia Mathematica
1 Computers and Mathematics with Applications. Part B
1 Celestial Mechanics and Dynamical Astronomy
1 Journal of Dynamics and Differential Equations
1 Indagationes Mathematicae. New Series
1 Applicable Algebra in Engineering, Communication and Computing
1 Archive of Applied Mechanics
1 Cybernetics and Systems Analysis
1 The Journal of Analysis
1 Russian Journal of Mathematical Physics
1 Applied and Computational Harmonic Analysis
1 Computational and Applied Mathematics
1 Science in China. Series E
1 Mathematical Problems in Engineering
1 Doklady Mathematics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
...and 23 more Serials
all top 5

Cited in 40 Fields

52 Ordinary differential equations (34-XX)
31 Mechanics of deformable solids (74-XX)
24 Numerical analysis (65-XX)
23 Partial differential equations (35-XX)
20 Integral transforms, operational calculus (44-XX)
18 Number theory (11-XX)
17 Mechanics of particles and systems (70-XX)
15 Dynamical systems and ergodic theory (37-XX)
14 Systems theory; control (93-XX)
12 Fluid mechanics (76-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
10 Optics, electromagnetic theory (78-XX)
9 Functions of a complex variable (30-XX)
9 Probability theory and stochastic processes (60-XX)
9 Information and communication theory, circuits (94-XX)
8 History and biography (01-XX)
8 Special functions (33-XX)
7 Classical thermodynamics, heat transfer (80-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Functional analysis (46-XX)
5 Quantum theory (81-XX)
4 Approximations and expansions (41-XX)
3 Combinatorics (05-XX)
3 Field theory and polynomials (12-XX)
3 Measure and integration (28-XX)
3 Difference and functional equations (39-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Computer science (68-XX)
2 Algebraic geometry (14-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 Statistics (62-XX)
1 General and overarching topics; collections (00-XX)
1 Nonassociative rings and algebras (17-XX)
1 Integral equations (45-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Relativity and gravitational theory (83-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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