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Langer, Rudolph Ernest (b. 1894 d. 1968)

Author ID: langer.rudolph-ernest Recent zbMATH articles by "Langer, Rudolph Ernest"
Published as: Langer, R. E.; Langer, Rudolph E.; Langer, R.; Langer, Rudolph Ernest; Langer, Rudolf E.; Langer, Rudolph
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 96 Publications since 1904, including 1 Book
7 Contributions as Editor · 1 Further Contribution
Biographic References: 1 Publication
Co-Authors: 7 Co-Authors with 13 Joint Publications
124 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 420 times in 331 Documents Cited by Year
On the connection formulas and the solutions of the wave equation. Zbl 0017.01705
Langer, Rudolf E.
88
1937
On the zeros of exponential sums and integrals. Zbl 0001.34403
Langer, R. E.
59
1931
The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to a turning point. Zbl 0041.05901
Langer, Rudolph E.
44
1949
On the asymptotic solutions of ordinary differential equations, with an application to the Bessel functions of large order. Zbl 0001.06003
Langer, Rudolph E.
30
1931
The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to the Stokes phenomenon. Zbl 0009.39703
Langer, R. E.
19
1934
The solutions of the differential equation \(v'''+\lambda^2zv'+3\mu\lambda^2v= 0\). Zbl 0068.06804
Langer, Rudolph E.
17
1955
The boundary problem of an ordinary linear differential system in the complex domain. Zbl 0022.34502
Langer, Rudolph E.
17
1939
On the asymptotic solutions of ordinary differential equations, with reference to the Stokes’ phenomenon about a singular point. Zbl 0011.30101
Langer, Rudolph E.
16
1935
On the asymptotic solutions of differential equations, with an application to the Bessel functions of large complex order. Zbl 0005.15801
Langer, Rudolph E.
14
1932
An inverse problem in differential equations. Zbl 0008.04603
Langer, R. E.
11
1933
A problem in diffusion or in the flow of heat for a solid in contact with a fluid. Zbl 0005.09604
Langer, Rudolph E.
10
1932
The asymptotic solutions of a linear differential equation of the second order with two turning points. Zbl 0102.07401
Langer, Rudolph E.
9
1959
On the asymptotic forms of the solutions of ordinary linear differential equations of the third order in a region containing a turning point. Zbl 0065.31703
Langer, Rudolph E.
8
1955
On the asymptotic solutions of a class of ordinary differential equations of the fourth order, with special reference to an equation of hydrodynamics. Zbl 0077.08801
Langer, Rudolph E.
8
1957
Turning points in linear asymptotic theory. Zbl 0143.31401
Langer, R. E.
7
1960
The solutions of a class of ordinary linear differential equations of the third order in a region containing a multiple turning point. Zbl 0073.30905
Langer, Rudolph E.
7
1956
The asymptotic solutions of certain linear ordinary differential equations of the second order. Zbl 0008.31205
Langer, Rudolph E.
6
1934
A note on the theory of vibration-rotation interaction. Zbl 0040.28201
Langer, Rudolph E.
6
1949
Formal solutions and a related equation for a class of fourth order differential equations of a hydrodynamic type. Zbl 0086.28603
Langer, Rudolph E.
5
1959
Boundary problems in differential equations. Proceedings of a symposium conducted by the Mathematics Research Center at the University of Wisconsin, Madison, April 20-22, 1959. Zbl 0100.04502
4
1960
Nonlinear problems. Proceedings of a symposium conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, April 30 – May 2, 1962. Zbl 0111.25502
4
1963
Algebraic principles for the analysis of the biochemical system. Zbl 0203.02301
Krohn, K.; Langer, R.; Rhodes, J.
3
1967
Asymptotic solutions of a differential equation in the theory of microwave propagation. Zbl 0041.06001
Langer, Rudolph E.
3
1950
On numerical approximation. Proceedings of a symposium conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, April 21-23, 1958. Zbl 0084.34402
3
1959
Asymptotic theories for linear ordinary differential equations depending upon a parameter. Zbl 0093.08604
Langer, Rudolph E.
3
1959
Electromagnetic waves. Proceedings of a symposium conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, April 10-12, 1961. Zbl 0108.21101
3
1962
A first course in ordinary differential equations. Zbl 0055.07902
Langer, R. E.
2
1954
A theory for ordinary differential boundary problems of the second order and of the highly irregular type. Zbl 0061.18201
Langer, Rudolph E.
2
1943
On the construction of related differential equations. Zbl 0071.08103
Langer, Rudolph E.
2
1956
An excerpt from the works of Euler. Zbl 0088.24305
Langer, Rudolph E.
2
1957
The solutions of the Mathieu equation with a complex variable and at least one parameter large. Zbl 0010.02104
Langer, Rudolph E.
1
1934
On the determination of earth conductivity from observed surface potentials. Zbl 0015.19101
Langer, R. E.
1
1936
On the wave equation with small quantum numbers. Zbl 0033.32304
Langer, R. E.
1
1949
Alexandria-shrine of mathematics. Zbl 0060.00514
Langer, R. E.
1
1941
Partial differential equations and continuum mechanics. Proceedings of an international conference conducted by the Mathematics Research Center at the University of Wisconsin, Madison, June 7-15, 1960. Zbl 0111.09008
1
1961
On the construction of related equations for the asymptotic theory of linear ordinary differential equations about a turning point. Zbl 0115.07101
Langer, R. E.
1
1962
The life of Leonard Euler. Zbl 0011.19308
Langer, Rudolph E.
1
1935
A correction to ”The boundary problem of an ordinary linear differential system in the complex domain”. Zbl 0022.34701
Langer, Rudolph E.
1
1939
Algebraic principles for the analysis of the biochemical system. Zbl 0203.02301
Krohn, K.; Langer, R.; Rhodes, J.
3
1967
Nonlinear problems. Proceedings of a symposium conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, April 30 – May 2, 1962. Zbl 0111.25502
4
1963
Electromagnetic waves. Proceedings of a symposium conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, April 10-12, 1961. Zbl 0108.21101
3
1962
On the construction of related equations for the asymptotic theory of linear ordinary differential equations about a turning point. Zbl 0115.07101
Langer, R. E.
1
1962
Partial differential equations and continuum mechanics. Proceedings of an international conference conducted by the Mathematics Research Center at the University of Wisconsin, Madison, June 7-15, 1960. Zbl 0111.09008
1
1961
Turning points in linear asymptotic theory. Zbl 0143.31401
Langer, R. E.
7
1960
Boundary problems in differential equations. Proceedings of a symposium conducted by the Mathematics Research Center at the University of Wisconsin, Madison, April 20-22, 1959. Zbl 0100.04502
4
1960
The asymptotic solutions of a linear differential equation of the second order with two turning points. Zbl 0102.07401
Langer, Rudolph E.
9
1959
Formal solutions and a related equation for a class of fourth order differential equations of a hydrodynamic type. Zbl 0086.28603
Langer, Rudolph E.
5
1959
On numerical approximation. Proceedings of a symposium conducted by the Mathematics Research Center, United States Army, at the University of Wisconsin, Madison, April 21-23, 1958. Zbl 0084.34402
3
1959
Asymptotic theories for linear ordinary differential equations depending upon a parameter. Zbl 0093.08604
Langer, Rudolph E.
3
1959
On the asymptotic solutions of a class of ordinary differential equations of the fourth order, with special reference to an equation of hydrodynamics. Zbl 0077.08801
Langer, Rudolph E.
8
1957
An excerpt from the works of Euler. Zbl 0088.24305
Langer, Rudolph E.
2
1957
The solutions of a class of ordinary linear differential equations of the third order in a region containing a multiple turning point. Zbl 0073.30905
Langer, Rudolph E.
7
1956
On the construction of related differential equations. Zbl 0071.08103
Langer, Rudolph E.
2
1956
The solutions of the differential equation \(v'''+\lambda^2zv'+3\mu\lambda^2v= 0\). Zbl 0068.06804
Langer, Rudolph E.
17
1955
On the asymptotic forms of the solutions of ordinary linear differential equations of the third order in a region containing a turning point. Zbl 0065.31703
Langer, Rudolph E.
8
1955
A first course in ordinary differential equations. Zbl 0055.07902
Langer, R. E.
2
1954
Asymptotic solutions of a differential equation in the theory of microwave propagation. Zbl 0041.06001
Langer, Rudolph E.
3
1950
The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to a turning point. Zbl 0041.05901
Langer, Rudolph E.
44
1949
A note on the theory of vibration-rotation interaction. Zbl 0040.28201
Langer, Rudolph E.
6
1949
On the wave equation with small quantum numbers. Zbl 0033.32304
Langer, R. E.
1
1949
A theory for ordinary differential boundary problems of the second order and of the highly irregular type. Zbl 0061.18201
Langer, Rudolph E.
2
1943
Alexandria-shrine of mathematics. Zbl 0060.00514
Langer, R. E.
1
1941
The boundary problem of an ordinary linear differential system in the complex domain. Zbl 0022.34502
Langer, Rudolph E.
17
1939
A correction to ”The boundary problem of an ordinary linear differential system in the complex domain”. Zbl 0022.34701
Langer, Rudolph E.
1
1939
On the connection formulas and the solutions of the wave equation. Zbl 0017.01705
Langer, Rudolf E.
88
1937
On the determination of earth conductivity from observed surface potentials. Zbl 0015.19101
Langer, R. E.
1
1936
On the asymptotic solutions of ordinary differential equations, with reference to the Stokes’ phenomenon about a singular point. Zbl 0011.30101
Langer, Rudolph E.
16
1935
The life of Leonard Euler. Zbl 0011.19308
Langer, Rudolph E.
1
1935
The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to the Stokes phenomenon. Zbl 0009.39703
Langer, R. E.
19
1934
The asymptotic solutions of certain linear ordinary differential equations of the second order. Zbl 0008.31205
Langer, Rudolph E.
6
1934
The solutions of the Mathieu equation with a complex variable and at least one parameter large. Zbl 0010.02104
Langer, Rudolph E.
1
1934
An inverse problem in differential equations. Zbl 0008.04603
Langer, R. E.
11
1933
On the asymptotic solutions of differential equations, with an application to the Bessel functions of large complex order. Zbl 0005.15801
Langer, Rudolph E.
14
1932
A problem in diffusion or in the flow of heat for a solid in contact with a fluid. Zbl 0005.09604
Langer, Rudolph E.
10
1932
On the zeros of exponential sums and integrals. Zbl 0001.34403
Langer, R. E.
59
1931
On the asymptotic solutions of ordinary differential equations, with an application to the Bessel functions of large order. Zbl 0001.06003
Langer, Rudolph E.
30
1931
all top 5

Cited by 462 Authors

8 Freiling, Gerhard
8 Wang, Junmin
5 Langer, Rudolph Ernest
5 Zauderer, Erich
4 Heittokangas, Janne M.
4 Kazarinoff, Nicholas D.
4 Krall, Allan M.
4 Meyer, Richard Ernst
4 Wen, Zhitao
3 Chorfi, Salah-Eddine
3 Fröman, Per Olof
3 Good, R. H. jun.
3 Guo, Bao-Zhu
3 Ishkin, Khabir Kabirovich
3 Maniar, Lahcen
3 Painter, Jeffrey F.
3 Roy, Arindam
3 Sheils, Natalie E.
3 Sibuya, Yasutaka
3 Tretter, Christiane
3 Zhao, Dongxia
2 Alberto, Pedro
2 Castro, Luis B.
2 Chen, Jeng-Tzong
2 Chen, Lung-Hui
2 Coman, Ciprian D.
2 Deconinck, Bernard
2 Devinatz, Allen
2 Dobrokhotov, Sergei Yurievich
2 Dorey, Patrick E.
2 El Guermai, Ghita
2 Fröman, Nanny
2 Garcia, Marcelo G.
2 Germain, Paul
2 Green, Gary Brian
2 Gu, Xiaoyan
2 Havelka, Jan
2 Hlawka, Edmund
2 Ishizaki, Katsuya
2 Kao, Shing-Kai
2 Klyuchnyk, I. H.
2 Krivec, Rajmund
2 Li, Junxian
2 McKelvey, Robert W.
2 Mora, Gaspar
2 Mostafazadeh, Ali
2 Mukanova, Balgaisha
2 Nazaikinskii, Vladimir E.
2 Nishimoto, Toshihiko
2 Rabenstein, Albert L.
2 Rejto, Peter
2 Ritt, Robert K.
2 Samoĭlenko, Anatoliĭ Mykhaĭlovych
2 Samusenko, Petro F.
2 Schultze, Bernd
2 Seifert, Herbert
2 Sepulcre, Juan Matias
2 Smith, David Andrew
2 Somersalo, Erkki
2 Sýkora, Jan
2 Tateo, Roberto
2 Tohge, Kazuya
2 Zaharescu, Alexandru
2 Zouhair, Walid
1 Adachi, Satoshi
1 Adam, John A.
1 Adamou, Alexander T. I.
1 Agmon, Shmuel
1 Ahmed, Syed A. S.
1 Aitzhan, Sultan
1 Akbarfam, Aliasghar Jodayree
1 Alber, Hans-Dieter
1 Alenitsyn, Alexander G.
1 Allgower, Eugene L.
1 Almansa, Julio
1 Álvarez, Gabriel
1 Ammar-Khodja, Farid
1 Anderson, Clifford H.
1 Anderson, Ian M.
1 Anikin, A. Yu.
1 Anyanwu, Donatus Uzodinma
1 Arnold, Anton
1 Attree, R. W.
1 Augustin, Toure Kidjegbo
1 Bader, Roger
1 Bajc, Borut
1 Bakke, Knut
1 Baños, Alfredo jun.
1 Bao, Carmen
1 Barbeau, Edward J.
1 Barceló, Juan Antonio
1 Barclay, David T.
1 Barkatou, Moulay A.
1 Barlett, R. H.
1 Bartlett, James H. jun.
1 Bartlett, Warren K.
1 Bassom, Andrew P.
1 Beims, Marcus Werner
1 Ait Ben Hassi, El Mustapha
1 Benzinger, Harold E.
...and 362 more Authors
all top 5

Cited in 135 Serials

19 Journal of Mathematical Physics
15 Journal of Mathematical Analysis and Applications
15 Transactions of the American Mathematical Society
15 Physical Review, II. Series
11 Physics Letters. A
11 Annals of Physics
10 Journal of Differential Equations
8 Archive for Rational Mechanics and Analysis
8 Mathematische Zeitschrift
7 Proceedings of the American Mathematical Society
7 Results in Mathematics
6 Journal of High Energy Physics
5 Nuclear Physics. B
5 Ukrainian Mathematical Journal
5 Studies in Applied Mathematics
4 International Journal of Engineering Science
4 Journal of Computational Physics
4 Journal of Fluid Mechanics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Applied Mathematics and Computation
4 Journal of Mathematical Sciences (New York)
3 Computers & Mathematics with Applications
3 International Journal of Theoretical Physics
3 Mathematical Methods in the Applied Sciences
3 Advances in Mathematics
3 Journal of Computational and Applied Mathematics
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of Dynamical and Control Systems
3 Journal of Applied Physics
3 Kodai Mathematical Seminar Reports
2 Communications in Mathematical Physics
2 Computer Physics Communications
2 Journal of Engineering Mathematics
2 Mathematical Notes
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Physics Reports
2 Theoretical and Mathematical Physics
2 Acta Mathematica
2 Integral Equations and Operator Theory
2 Journal of Functional Analysis
2 Monatshefte für Mathematik
2 Journal of Elasticity
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Bulletin of the American Mathematical Society. New Series
2 St. Petersburg Mathematical Journal
2 Engineering Analysis with Boundary Elements
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 New Journal of Physics
2 Physical Review Letters
2 Journal of the Australian Mathematical Society
2 Inverse Problems in Science and Engineering
2 Monatshefte für Mathematik und Physik
2 Il Nuovo Cimento, X. Series
2 PMM, Journal of Applied Mathematics and Mechanics
2 Proceedings of the Japan Academy
2 Nonlinear Oscillations
2 Ufimskiĭ Matematicheskiĭ Zhurnal
2 Physics
1 Modern Physics Letters A
1 Modern Physics Letters B
1 Acta Mechanica
1 American Mathematical Monthly
1 Applicable Analysis
1 Archive for History of Exact Sciences
1 Communications on Pure and Applied Mathematics
1 Discrete Applied Mathematics
1 Fluid Dynamics
1 International Journal of Control
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Applied Mathematics and Optimization
1 Automatica
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Calcolo
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Mathematical Psychology
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Mathematika
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Quarterly of Applied Mathematics
1 Tôhoku Mathematical Journal. Second Series
1 Advances in Applied Mathematics
1 Systems & Control Letters
1 Zeitschrift für Analysis und ihre Anwendungen
1 Acta Applicandae Mathematicae
1 Journal of Symbolic Computation
1 MCSS. Mathematics of Control, Signals, and Systems
1 Science in China. Series A
1 European Journal of Applied Mathematics
1 Aequationes Mathematicae
1 Applied Mathematical Modelling
...and 35 more Serials
all top 5

Cited in 47 Fields

93 Ordinary differential equations (34-XX)
64 Quantum theory (81-XX)
57 Partial differential equations (35-XX)
23 Numerical analysis (65-XX)
18 Operator theory (47-XX)
16 Functions of a complex variable (30-XX)
15 Systems theory; control (93-XX)
14 Special functions (33-XX)
14 Mechanics of deformable solids (74-XX)
11 Fluid mechanics (76-XX)
10 Optics, electromagnetic theory (78-XX)
9 Mechanics of particles and systems (70-XX)
7 Relativity and gravitational theory (83-XX)
6 Number theory (11-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
5 Approximations and expansions (41-XX)
5 Integral equations (45-XX)
4 Differential geometry (53-XX)
4 Biology and other natural sciences (92-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Probability theory and stochastic processes (60-XX)
2 History and biography (01-XX)
2 Algebraic geometry (14-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Difference and functional equations (39-XX)
2 Computer science (68-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Geophysics (86-XX)
1 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 General algebraic systems (08-XX)
1 Commutative algebra (13-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Group theory and generalizations (20-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Statistics (62-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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