Edit Profile (opens in new tab) Bergman, Stefan Compute Distance To: Compute Author ID: bergman.stefan Published as: Bergman, Stefan; Bergmann, S.; Bergman, S.; Bergmann, Stefan; Bergmann, St. more...less External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 253 Publications since 1922, including 17 Books Biographic References: 4 Publications Co-Authors: 19 Co-Authors with 37 Joint Publications 352 Co-Co-Authors all top 5 Co-Authors 215 single-authored 17 Schiffer, Menahem Max 4 Herriot, John G. 4 Marcinkiewicz, Józef 2 Bojanic, Ranko 2 Duda, Roman 2 Knaster, Bronisław 2 Martin, William Ted 2 Mycielski, Jan 2 Schinzel, Andrzej 2 Spencer, Donald Clayton 1 Chalmers, Bruce Longworthy 1 Epstein, Bernard 1 Gilbarg, David 1 Greenstone, Leonard 1 Hahn, Kyong Taik 1 Loewner, Charles 1 Neyman, Jerzy 1 Solomon, Herbert 1 Szegő, Gábor all top 5 Serials 17 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 14 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 13 Mathematische Zeitschrift 11 Duke Mathematical Journal 11 Mathematische Annalen 11 Transactions of the American Mathematical Society 9 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 8 American Journal of Mathematics 8 Recueil Mathématique. Nouvelle Série 7 Bulletin of the American Mathematical Society 7 Journal of Mathematics and Physics 6 Journal d’Analyse Mathématique 6 Compositio Mathematica 6 Proceedings of the National Academy of Sciences of the United States of America 5 Journal für die Reine und Angewandte Mathematik 4 Numerische Mathematik 4 Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, Nouvelle Série 4 Proceedings. Akadamie van Wetenschappen Amsterdam 3 Pacific Journal of Mathematics 3 Quarterly of Applied Mathematics 3 Scripta Mathematica 3 Ergebnisse der Mathematik und ihrer Grenzgebiete 3 Journal of Rational Mechanics and Analysis 3 Mathematical Surveys 2 Archive for Rational Mechanics and Analysis 2 Bulletin des Sciences Mathématiques. Deuxième Série 2 Bulletin de la Société des Sciences et des Lettres de Łódź 2 Atti della Accademia Nazionale dei Lincei, Rendiconti, VI. Serie 2 Journal of Mathematics and Mechanics 2 Annals of Mathematics Studies 2 Mathematica 2 Annales Academiae Scientiarum Fennicae. Series A I 1 American Mathematical Monthly 1 Communications on Pure and Applied Mathematics 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Prikladnaya Matematika i Mekhanika 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Colloquium Mathematicum 1 Fundamenta Mathematicae 1 Proceedings of the American Mathematical Society 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Mathematical Tables and other Aids to Computation 1 Die Naturwissenschaften 1 Rendiconti Di Matematica e Delle Sue Applicazioni, V. Serie 1 Revista de Ciencias, Lima 1 Applied Mathematics and Mechanics 1 Translations. Series 2. American Mathematical Society all top 5 Fields 21 Several complex variables and analytic spaces (32-XX) 9 Partial differential equations (35-XX) 6 Fluid mechanics (76-XX) 5 Functions of a complex variable (30-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 132 Publications have been cited 1,061 times in 692 Documents Cited by ▼ Year ▼ The kernel function and conformal mapping. Zbl 0040.19001Bergman, Stefan 159 1950 Kernel functions and elliptic differential equations in mathematical physics. Zbl 0053.39003Bergman, Stefan; Schiffer, M. 126 1953 The kernel function and conformal mapping. 2nd ed. Zbl 0208.34302Bergman, S. 122 1970 Kernel functions and conformal mapping. Zbl 0043.08403Bergman, S.; Schiffer, M. 63 1951 Integral operators in the theory of linear partial differential equations. Zbl 0093.28701Bergman, Stefan 44 1961 Über die Entwicklung der harmonischen Funktionen der Ebene und des Raumes nach Orthogonalfunktionen. JFM 48.1236.02Bergmann, St. 24 1922 Integral operators in the theory of linear partial differential equations. 2nd revised printing. Zbl 0176.08501Bergman, Stefan 21 1969 Über die Kernfunktion eines Bereiches und ihr Verhalten am Rande. JFM 58.0352.02Bergmann, S. 19 1932 Integral operators in the theory of linear partial differential equations. 3rd printing. Zbl 0209.40002Bergman, Stefan 18 1971 Zur Theorie der algebraischen Potentialfunktionen des dreidimensionalen Raumes. I, II. JFM 54.0514.02Bergmann, St. 16 1928 The kernel function and conformal mapping. Reprint. Zbl 0473.30006Bergman, Stefan 15 1980 Sur les fonctions orthogonales de plusieurs variables complexes avec les applications à la théorie des fonctions analytiques. Zbl 0036.05101Bergmann, Stefan 14 1947 A representation of Green’s and Neumann’s functions in the theory of partial differential equations of second order. Zbl 0029.39901Bergman, S.; Schiffer, M. 13 1947 Kernel functions in the theory of partial differential equations of elliptic type. Zbl 0030.25503Bergman, S.; Schiffer, M. 13 1948 Zur Theorie der Funktionen, die eine lineare partielle Differentialgleichung befriedigen. I. JFM 63.0463.01Bergmann, S. 10 1937 Zur Theorie der ein- und mehrwertigen harmonischen Funktionen des dreidimensionalen Raumes. JFM 52.0487.03Bergmann, S. 10 1926 Über eine in gewissen Bereichen mit Maximumfläche gültige Integraldarstellung der Funktionen zweier komplexer Variabler. I. Zbl 0009.26202Bergmann, Stefan 10 1934 Some linear operators in the theory of partial differential equations. Zbl 0039.31903Bergman, S.; Schiffer, M. 10 1950 Linear operators in the theory of partial differential equations. Zbl 0063.00310Bergman, Stefan 10 1943 Über die Existenz von Repräsentantenbereichen in der Theorie der Abbildung durch Paare von Funktionen zweier komplexen Veränderlichen. JFM 55.0786.02Bergmann, St. 9 1930 Functions of extended class in the theory of functions of several complex variables. Zbl 0034.05304Bergman, Stefan 9 1948 Classes of solutions of linear partial differential equations in three variables. Zbl 0063.00317Bergman, Stefan 9 1946 Über eine Integraldarstellung von Funktionen zweier komplexer Veränderlichen. JFM 62.1220.04Bergmann, S. 8 1936 On solutions with algebraic character of linear partial differential equations. Zbl 0038.23103Bergman, Stefan 8 1950 Residue theorems of harmonic functions of three variables. Zbl 0063.00308Bergman, Stefan 8 1943 A procedure for conformal mapping of triply-connected domains. Zbl 0154.41203Bergman, S.; Chalmers, B. 7 1967 Sur la fonction-noyau d’un domaine et ses applications dans la théorie des transformations pseudoconformes. Zbl 0036.05201Bergmann, Stefan 7 1948 Certain classes of analytic functions of two real variables and their properties. Zbl 0063.00314Bergman, Stefan 7 1945 Some properties of a harmonic function of three variables given by its series development. Zbl 0099.30603Bergman, Stefan 7 1961 Application of the method of the kernel function for solving boundary- value problems. Zbl 0106.10703Bergman, Stefan; Herriot, John G. 7 1961 Numerical solution of boundary-value problems by the method of integral operators. Zbl 0133.08903Bergman, Stefan; Herriot, John G. 7 1965 Zur Theorie der pseudokonformen Abbildungen. JFM 62.0400.02Bergmann, S. 6 1936 The approximation of functions satisfying a linear partial differential equation. Zbl 0023.31902Bergman, Stefan 6 1940 On solutions of linear partial differential equations of mixed type. Zbl 0046.32102Bergman, Stefan 6 1952 Solutions of linear partial differential equations of the fourth order. Zbl 0063.00312Bergman, Stefan 6 1944 A class of harmonic functions in three variables and their properties. Zbl 0063.00319Bergman, Stefan 6 1946 Zur Theorie von pseudokonformen Abbildungen. Zbl 0014.02603Bergmann, Stefan 5 1936 On Green’s and Neumann’s function in the theory of partial differential equations. Zbl 0032.35201Bergman, S.; Schiffer, M. 5 1947 Two-dimensional transonic flow patterns. Zbl 0035.06401Bergman, Stefan 5 1948 Essential singularities of solutions of a class of linear partial differential equations in three variables. Zbl 0057.08603Bergman, Stefan 5 1954 The behavior of the kernel function at boundary points of the second order. Zbl 0060.24203Bergman, Stefan 5 1943 Integral operators in the theory of linear partial differential equations. (Интегральные операторы в теории линейных уравнений с частными производными) (Translation from the English by L. A. Markushevich. Edited by I. I. Danilyuk.) Zbl 0121.07802Bergman, Stefan 5 1964 Interior distinguished points in the theory of functions of two complex variables. Zbl 0158.08302Bergman, Stefan 4 1967 Application of the kernel function for the computation of flows of compressible fluids. Zbl 0167.54902Bergman, S. 4 1968 Über Hermitesche unendliche Formen, die zu einem Bereiche gehören, nebst Anwendungen auf Fragen der Abbildung durch Funktionen von zwei komplexen Veränderlichen. JFM 55.0786.01Bergmann, St. 4 1929 Über ausgezeichnete Randflächen in der Theorie der Funktionen von zwei komplexen Veränderlichen. Zbl 0001.21502Bergmann, Stefan 4 1931 Mehrdeutige Lösungen bei Potentialströmungen mit freien Grenzen. Zbl 0004.31607Bergmann, Stefan 4 1932 Functions satisfying certain partial differential equations of elliptic type and their representation. Zbl 0029.39803Bergman, Stefan 4 1947 A formula for the stream function of certain flows. Zbl 0063.00309Bergman, Stefan 4 1943 Bounds for analysic functions in domains with a distinguished boundary surface. Zbl 0065.31204Bergman, Stefan 4 1955 Operators generating solutions of certain differential equations in three variables and their properties. Zbl 0106.07802Bergman, Stefan 4 1961 Distinguished sets of invariants in the theory of pseudo-conformal transformations. Zbl 0138.06202Bergman, Stefan 4 1964 Kernel functions and elliptic differential equations in mathematical physics. Reprint of the 1953 original published by Academic Press. Zbl 1204.35004Bergman, Stefan; Schiffer, Menahem 3 2005 Über das Verhalten der Funktionen von zwei komplexen Veränderlichen in Gebieten mit einer ausgezeichneten Randfläche. JFM 64.1081.04Bergmann, S. 3 1938 Value distribution of meromorphic functions of two complex variables. Zbl 0168.32803Bergman, S. 3 1962 On an initial value problem in the theory of two-dimensional transonic flow patterns. Zbl 0191.39803Bergman, S. 3 1970 The number of intersection points of two analytic surfaces in the space of two complex variables. Zbl 0192.18303Bergman, Stefan 3 1960 Sur quelques propriétés des transformations par un couple de fonctions de deux variables complexes. JFM 60.0276.01Bergmann, S. 3 1934 Über den Wertevorrat einer Funktion von zwei komplexen Veränderlichen. JFM 58.0352.01Bergmann, S. 3 1932 Über ausgezeichnete Randflächen in der Theorie der Funktionen von zwei komplexen Veränderlichen. JFM 57.0386.03Bergmann, S. 3 1931 Über Kurvenintegrale von Funktionen zweier komplexer Veränderlichen, die die Differentialgleichung \(\varDelta V+V=0\) befriedigen. JFM 56.0291.05Bergmann, S. 3 1930 Zur Theorie der algebraischen Potentialfunktionen des dreidimensionalen Raumes. II. JFM 55.0289.03Bergmann, St. 3 1929 Zwei Sätze über Funktionen von zwei komplexen Veränderlichen. JFM 54.0374.02Bergmann, St. 3 1928 Über die Bestimmung der Verzweigungspunkte eines hyperelliptischen Integrals aus seinen Periodizitätsmoduln mit Anwendungen auf die Theorie des Transformators. JFM 49.0269.01Bergmann, St. 3 1923 Zwei Sätze aus dem Ideenkreis des Schwarzschen Lemmas über die Funktionen von zwei komplexen Veränderlichen. Zbl 0008.21602Bergmann, Stefan 3 1934 Über meromorphe Funktionen von zwei komplexen Veränderlichen. Zbl 0020.37901Bergmann, Stefan 3 1939 Punch-card machine methods applied to the solution of the torsion problem. Zbl 0029.27302Bergman, Stefan 3 1947 Two dimensional subsonic flows of a compressible fluid and their singularities. Zbl 0032.22902Bergman, Stefan 3 1947 An initial value problem for a class of equations of mixed type. Zbl 0037.19204Bergman, Stefan 3 1949 Various kernels in the theory of partial differential equations. Zbl 0039.31902Bergman, S.; Schiffer, M. 3 1950 Properties of solutions of a system of partial differential equations. Zbl 0056.32003Bergman, Stefan; Schiffer, M. M. 3 1954 Bounded functions of two complex variables. Zbl 0060.24204Bergman, Stefan; Schiffer, Menahem 3 1944 Construction of a complete set of solutions of a linear partial differential equation in two variables, by use of punch card machines. Zbl 0061.29701Bergman, Stefan 3 1946 Bounds for solutions of a system of partial differential equations. Zbl 0073.08304Bergman, Stefan 3 1956 On the coefficient problem in the theory of a system of linear partial differential equations. Zbl 0119.08001Bergman, S. 3 1963 Integral operators in the study of an algebra and of a coefficient problem in the theory of three-dimensional harmonic functions. Zbl 0119.08803Bergman, S. 3 1963 On value distribution of an analytic function of two complex variables in a polyhedron. Zbl 0475.32003Bergman, Stefan 2 1978 Sur les fonctions orthogonales de plusieurs variables complexes avec les applications à la théorie des fonctions analytiques. JFM 67.0299.03Bergmann, S. 2 1941 Sur les fonctions analytiques de deux variables complexes. JFM 65.1245.01Bergmann, S.; Marcinkiewicz, J. 2 1945 Über eine Abschätzung von meromorphen Funktionen zweier Veränderlicher in Bereichen mit ausgezeichneter Randfläche. JFM 63.0310.01Bergmann, S. 2 1937 On pseudo-conformal images of circular domains. Zbl 0181.08802Bergman, S. 2 1969 On the kernel function of a domain and its boundary behavior. I, II. (Über die Kernfunktion eines Bereiches und ihr Verhalten am Rande. I, II.) JFM 60.1025.01Bergmann, Stefan 2 1932 Über die Abbildungen durch Paare von Funktionen von zwei komplexen Veränderlichen. JFM 56.0294.03Bergmann, St. 2 1930 Über die Bestimmung der elastischen Spannungen und Verschiebungen in einem konvexen Körper. JFM 53.0752.05Bergmann, St. 2 1927 Operator methods in the theory of compressible fluids. Zbl 0036.13502Bergman, Stefan 2 1949 The coefficient problem in the theory of linear partial differential equations. Zbl 0047.34201Bergman, Stefan 2 1952 Potential-theoretic methods in the theory of functions of two complex variables. Zbl 0049.06403Bergman, S.; Schiffer, M. 2 1952 Theory of kernel functions in conformal mapping. Zbl 0049.17601Bergman, S.; Schiffer, M. 2 1952 The method of the minimum integral and analytic continuation of functions of complex variables. Zbl 0060.24106Bergman, Stefan 2 1941 Boundary values of functions satisfying a linear partial differential equation of elliptic type. Zbl 0061.23803Bergman, Stefan 2 1940 A remark on the mapping of multiply-connected domains. Zbl 0061.15602Bergman, Stefan 2 1946 The determination of some properties of a function satisfying a partial differential equation from its series development. Zbl 0063.00311Bergman, Stefan 2 1944 On two-dimensional flows of compressible fluids. Zbl 0063.00315Bergman, Stefan 2 1945 On representation of stream functions of subsonic and supersonic flows of compressible fluids. Zbl 0068.38805Bergman, Stefan 2 1955 Multivalued harmonic functions in three variables. Zbl 0070.32703Bergman, Stefan 2 1956 On singularities of solutions of certain differential equations in three variables. Zbl 0079.11802Bergman, Stefan 2 1957 Properties of solutions of certain differential equations in three variables. Zbl 0079.11803Bergman, Stefan 2 1958 A class of pseudo-conformal and quasi-pseudo-conformal mappings. Zbl 0089.05702Bergman, Stefan 2 1958 Sur les singularites des fonctions harmoniques de trois variables. Zbl 0139.28502Bergman, S. 2 1962 Approximation of harmonic functions of three variables by harmonic polynomials. Zbl 0163.13902Bergman, S. 1 1966 Kernel functions and elliptic differential equations in mathematical physics. Reprint of the 1953 original published by Academic Press. Zbl 1204.35004Bergman, Stefan; Schiffer, Menahem 3 2005 The kernel function and conformal mapping. Reprint. Zbl 0473.30006Bergman, Stefan 15 1980 On value distribution of an analytic function of two complex variables in a polyhedron. Zbl 0475.32003Bergman, Stefan 2 1978 Some properties of pseudo-conformal images of Reinhardt circular domains. Zbl 0269.32011Bergman, Stefan; Hahn, Kyong T. 1 1972 Integral operators in the theory of linear partial differential equations. 3rd printing. Zbl 0209.40002Bergman, Stefan 18 1971 The kernel function and conformal mapping. 2nd ed. Zbl 0208.34302Bergman, S. 122 1970 On an initial value problem in the theory of two-dimensional transonic flow patterns. Zbl 0191.39803Bergman, S. 3 1970 Integral operators in the theory of linear partial differential equations. 2nd revised printing. Zbl 0176.08501Bergman, Stefan 21 1969 On pseudo-conformal images of circular domains. Zbl 0181.08802Bergman, S. 2 1969 Application of the kernel function for the computation of flows of compressible fluids. Zbl 0167.54902Bergman, S. 4 1968 A procedure for conformal mapping of triply-connected domains. Zbl 0154.41203Bergman, S.; Chalmers, B. 7 1967 Interior distinguished points in the theory of functions of two complex variables. Zbl 0158.08302Bergman, Stefan 4 1967 Approximation of harmonic functions of three variables by harmonic polynomials. Zbl 0163.13902Bergman, S. 1 1966 Application of integral operators to singular differential equations and to computations of compressible fluid flows. Zbl 0141.42801Bergman, S. 1 1966 Numerical solution of boundary-value problems by the method of integral operators. Zbl 0133.08903Bergman, Stefan; Herriot, John G. 7 1965 Some properties of pseudo-conformal images of circular domains in the theory of two complex variables. Zbl 0168.06002Bergman, S. 1 1965 Applications of integral operators in the theory of compressible fluids. Zbl 0208.54501Bergman, S. 1 1965 Integral operators in the theory of linear partial differential equations. (Интегральные операторы в теории линейных уравнений с частными производными) (Translation from the English by L. A. Markushevich. Edited by I. I. Danilyuk.) Zbl 0121.07802Bergman, Stefan 5 1964 Distinguished sets of invariants in the theory of pseudo-conformal transformations. Zbl 0138.06202Bergman, Stefan 4 1964 On the coefficient problem in the theory of a system of linear partial differential equations. Zbl 0119.08001Bergman, S. 3 1963 Integral operators in the study of an algebra and of a coefficient problem in the theory of three-dimensional harmonic functions. Zbl 0119.08803Bergman, S. 3 1963 The distinguished boundary sets and value distribution of functions of two complex variables. Zbl 0141.27302Bergman, S. 1 1963 Value distribution of meromorphic functions of two complex variables. Zbl 0168.32803Bergman, S. 3 1962 Sur les singularites des fonctions harmoniques de trois variables. Zbl 0139.28502Bergman, S. 2 1962 Nouvelles remarques sur les singularites des fonctions harmoniques de trois variables. Zbl 0139.28601Bergman, S. 1 1962 Integral operators in the theory of linear partial differential equations. Zbl 0093.28701Bergman, Stefan 44 1961 Some properties of a harmonic function of three variables given by its series development. Zbl 0099.30603Bergman, Stefan 7 1961 Application of the method of the kernel function for solving boundary- value problems. Zbl 0106.10703Bergman, Stefan; Herriot, John G. 7 1961 Operators generating solutions of certain differential equations in three variables and their properties. Zbl 0106.07802Bergman, Stefan 4 1961 The number of intersection points of two analytic surfaces in the space of two complex variables. Zbl 0192.18303Bergman, Stefan 3 1960 Properties of solutions of certain differential equations in three variables. Zbl 0079.11803Bergman, Stefan 2 1958 A class of pseudo-conformal and quasi-pseudo-conformal mappings. Zbl 0089.05702Bergman, Stefan 2 1958 A class of quasi-conformal transformations in the theory of functions of two complex variables. Zbl 0085.06701Bergman, Stefan 1 1958 On singularities of solutions of certain differential equations in three variables. Zbl 0079.11802Bergman, Stefan 2 1957 Bounds for solutions of a system of partial differential equations. Zbl 0073.08304Bergman, Stefan 3 1956 Multivalued harmonic functions in three variables. Zbl 0070.32703Bergman, Stefan 2 1956 New methods for solving boundary value problems. Zbl 0070.32102Bergman, Stefan 1 1956 Bounds for analysic functions in domains with a distinguished boundary surface. Zbl 0065.31204Bergman, Stefan 4 1955 On representation of stream functions of subsonic and supersonic flows of compressible fluids. Zbl 0068.38805Bergman, Stefan 2 1955 Essential singularities of solutions of a class of linear partial differential equations in three variables. Zbl 0057.08603Bergman, Stefan 5 1954 Properties of solutions of a system of partial differential equations. Zbl 0056.32003Bergman, Stefan; Schiffer, M. M. 3 1954 On zero and pole surfaces of functions of two complex variables. Zbl 0059.07204Bergman, Stefan 1 1954 Kernel functions and elliptic differential equations in mathematical physics. Zbl 0053.39003Bergman, Stefan; Schiffer, M. 126 1953 A theorem of Green’s type for functions of two complex variables. Zbl 0050.30605Bergman, Stefan 1 1953 On solutions of linear partial differential equations of mixed type. Zbl 0046.32102Bergman, Stefan 6 1952 The coefficient problem in the theory of linear partial differential equations. Zbl 0047.34201Bergman, Stefan 2 1952 Potential-theoretic methods in the theory of functions of two complex variables. Zbl 0049.06403Bergman, S.; Schiffer, M. 2 1952 Theory of kernel functions in conformal mapping. Zbl 0049.17601Bergman, S.; Schiffer, M. 2 1952 Operatorenmethoden in der Gasdynamik. Zbl 0046.19002Bergman, Stefan 1 1952 Geometric and potential-theoretical methods in the theory of functions of several complex variables. Zbl 0049.18202Bergman, Stefan 1 1952 Kernel functions and conformal mapping. Zbl 0043.08403Bergman, S.; Schiffer, M. 63 1951 A majorant method for non-linear partial differential equations. Zbl 0043.31603Bergman, S.; Schiffer, M. 1 1951 Kernel functions and partial differential equations. I. Boundary value problems in the theory of nonlinear partial differential equations of elliptic type. Zbl 0045.37101Bergman, S.; Schiffer, M. 1 1951 The kernel function and conformal mapping. Zbl 0040.19001Bergman, Stefan 159 1950 Some linear operators in the theory of partial differential equations. Zbl 0039.31903Bergman, S.; Schiffer, M. 10 1950 On solutions with algebraic character of linear partial differential equations. Zbl 0038.23103Bergman, Stefan 8 1950 Various kernels in the theory of partial differential equations. Zbl 0039.31902Bergman, S.; Schiffer, M. 3 1950 An initial value problem for a class of equations of mixed type. Zbl 0037.19204Bergman, Stefan 3 1949 Operator methods in the theory of compressible fluids. Zbl 0036.13502Bergman, Stefan 2 1949 Kernel functions in the theory of partial differential equations of elliptic type. Zbl 0030.25503Bergman, S.; Schiffer, M. 13 1948 Functions of extended class in the theory of functions of several complex variables. Zbl 0034.05304Bergman, Stefan 9 1948 Sur la fonction-noyau d’un domaine et ses applications dans la théorie des transformations pseudoconformes. Zbl 0036.05201Bergmann, Stefan 7 1948 Two-dimensional transonic flow patterns. Zbl 0035.06401Bergman, Stefan 5 1948 Sur les fonctions orthogonales de plusieurs variables complexes avec les applications à la théorie des fonctions analytiques. Zbl 0036.05101Bergmann, Stefan 14 1947 A representation of Green’s and Neumann’s functions in the theory of partial differential equations of second order. Zbl 0029.39901Bergman, S.; Schiffer, M. 13 1947 On Green’s and Neumann’s function in the theory of partial differential equations. Zbl 0032.35201Bergman, S.; Schiffer, M. 5 1947 Functions satisfying certain partial differential equations of elliptic type and their representation. Zbl 0029.39803Bergman, Stefan 4 1947 Punch-card machine methods applied to the solution of the torsion problem. Zbl 0029.27302Bergman, Stefan 3 1947 Two dimensional subsonic flows of a compressible fluid and their singularities. Zbl 0032.22902Bergman, Stefan 3 1947 Numerical determination by use of special computational devices of an integral operator in the theory of compressible fluids. I. Determination of the coefficients of the integral operator by the use of punch card machines. Zbl 0038.28301Bergman, Stefan; Greenstone, Leonard 1 1947 Classes of solutions of linear partial differential equations in three variables. Zbl 0063.00317Bergman, Stefan 9 1946 A class of harmonic functions in three variables and their properties. Zbl 0063.00319Bergman, Stefan 6 1946 Construction of a complete set of solutions of a linear partial differential equation in two variables, by use of punch card machines. Zbl 0061.29701Bergman, Stefan 3 1946 A remark on the mapping of multiply-connected domains. Zbl 0061.15602Bergman, Stefan 2 1946 On supersonic and partially supersonic flows. Zbl 0063.00318Bergman, Stefan 1 1946 Certain classes of analytic functions of two real variables and their properties. Zbl 0063.00314Bergman, Stefan 7 1945 Sur les fonctions analytiques de deux variables complexes. JFM 65.1245.01Bergmann, S.; Marcinkiewicz, J. 2 1945 On two-dimensional flows of compressible fluids. Zbl 0063.00315Bergman, Stefan 2 1945 Graphical and analytical methods for the determination of a flow of a compressible fluid around an obstacle. Zbl 0063.00316Bergman, Stefan 1 1945 Solutions of linear partial differential equations of the fourth order. Zbl 0063.00312Bergman, Stefan 6 1944 Bounded functions of two complex variables. Zbl 0060.24204Bergman, Stefan; Schiffer, Menahem 3 1944 The determination of some properties of a function satisfying a partial differential equation from its series development. Zbl 0063.00311Bergman, Stefan 2 1944 Linear operators in the theory of partial differential equations. Zbl 0063.00310Bergman, Stefan 10 1943 Residue theorems of harmonic functions of three variables. Zbl 0063.00308Bergman, Stefan 8 1943 The behavior of the kernel function at boundary points of the second order. Zbl 0060.24203Bergman, Stefan 5 1943 A formula for the stream function of certain flows. Zbl 0063.00309Bergman, Stefan 4 1943 Sur les fonctions orthogonales de plusieurs variables complexes avec les applications à la théorie des fonctions analytiques. JFM 67.0299.03Bergmann, S. 2 1941 The method of the minimum integral and analytic continuation of functions of complex variables. Zbl 0060.24106Bergman, Stefan 2 1941 On the surface integrals of functions of two complex variables. Zbl 0025.26203Bergman, Stefan 1 1941 On a generalized Green’s function and certain of its applications. Zbl 0027.21603Bergman, Stefan 1 1941 Über uneigentliche Flächenintegrale in der Theorie der analytischen Funktionen von zwei komplexen Veränderlichen. Zbl 0060.24107Bergman, Stefan 1 1941 The approximation of functions satisfying a linear partial differential equation. Zbl 0023.31902Bergman, Stefan 6 1940 Boundary values of functions satisfying a linear partial differential equation of elliptic type. Zbl 0061.23803Bergman, Stefan 2 1940 A modified moment problem in two variables. Zbl 0024.02703Bergman, Stefan; Martin, W. T. 1 1940 Über meromorphe Funktionen von zwei komplexen Veränderlichen. Zbl 0020.37901Bergmann, Stefan 3 1939 Über das Verhalten der Funktionen von zwei komplexen Veränderlichen in Gebieten mit einer ausgezeichneten Randfläche. JFM 64.1081.04Bergmann, S. 3 1938 Zur Theorie der Funktionen, die eine lineare partielle Differentialgleichung befriedigen. I. JFM 63.0463.01Bergmann, S. 10 1937 Über eine Abschätzung von meromorphen Funktionen zweier Veränderlicher in Bereichen mit ausgezeichneter Randfläche. JFM 63.0310.01Bergmann, S. 2 1937 Zur Theorie der Funktionen, die eine lineare partielle Differentialgleichung befriedigen. I. Zbl 0018.26203Bergmann, Stefan 1 1937 Sur un lien entre la théorie des équations aux dérivées partielles elliptiques et celle des fonctions d’une variable complexe. Zbl 0018.03002Bergmann, Stefan 1 1937 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 611 Authors 33 Bergman, Stefan 22 Gilbert, Robert Pertsch 16 Colton, David Lem 15 Kreyszig, Erwin 14 Burbea, Jacob 12 Schiffer, Menahem Max 12 Schippers, Eric D. 11 Bell, Steven R. 11 McCoy, Peter A. 9 Papamichael, Nicolas 8 Staubach, Wolfgang 7 Davis, Philip J. 7 Hedenmalm, Håkan 7 Karapetyants, Alexey N. 7 Putinar, Mihai 7 Sario, Leo 6 Akgül, Ali 6 Bi, Hai 6 Krantz, Steven George 6 Nehari, Zeev 6 Yang, Yidu 5 Engliš, Miroslav 5 Garabedian, Paul Roesel 5 Howard, Henry Cobourn 5 Kracht, Manfred W. 5 Mitchell, Josephine 5 Park, Jong-Do 5 Samko, Stefan Grigorievich 4 Bremermann, Hans Joachim 4 González-Cervantes, José Óscar 4 Herbort, Gregor 4 Herriot, John G. 4 Ion, D. B. 4 Meschkowski, Herbert 4 Ozawa, Mitsuru 4 Shapiro, Harold Seymour 4 Suita, Nobuyuki 4 Walsh, Joseph Leonard 3 Abbasbandy, Saeid 3 Arazy, Jonathan 3 Aronsson, Gunnar 3 Auchmuty, Giles 3 Babuška, Ivo 3 Bakhtiari, Parisa 3 Chacón, Gerardo R. 3 Chalmers, Bruce Longworthy 3 Colombo, Fabrizio 3 Diederich, Klas 3 Duff, George Francis Denton 3 FitzGerald, Carl H. 3 Gustafsson, Bjorn 3 Khavinson, Dmitry S. 3 Kim, Kang-Tae 3 Klingelhöfer, Klaus 3 Kravchenko, Vladislav V. 3 Nakai, Mitsuru 3 Nashed, M. Zuhair 3 Ohsawa, Takeo 3 Pessoa, Luís V. 3 Pollak, Henry O. 3 Popescu, Gelu 3 Radnell, David 3 Rafeiro, Humberto 3 Raimondo, Roberto C. 3 Razali, M. R. M. 3 Rosenthal, Paul H. 3 Sabadini, Irene 3 Shimorin, Serguei 3 Skwarczyński, Maciej L. 3 Spencer, Donald Clayton 3 van Gorder, Robert Ashton 3 Wang, An 3 Zhang, Liyou 2 Angell, Thomas S. 2 Aronszajn, Nachman 2 Barnhill, Robert E. 2 Barrar, Richard B. 2 Berger, Charles A. 2 Bolt, Michael 2 Bragg, Louis R. 2 Brennan, James E. 2 Carroll, Robert Wayne 2 Chen, Shaolin 2 Cho, Sanghyun 2 Cima, Joseph A. 2 Coburn, Lewis A. 2 Cover, Alan S. 2 Crowdy, Darren Gregory 2 Delgado, Briceyda B. 2 Dubinin, Vladimir N. 2 Epstein, Bernard 2 Evans, John P. 2 Eynard, Bertrand 2 Florian, Helmut 2 Friedrichs, Kurt Otto 2 Fu, Siqi 2 Garcia, Stephan Ramon 2 Gelbart, Abe Markham 2 Greene, Robert Everist 2 Hahn, Kyong Taik ...and 511 more Authors all top 5 Cited in 183 Serials 46 Transactions of the American Mathematical Society 33 Journal of Mathematical Analysis and Applications 33 Proceedings of the American Mathematical Society 31 Journal d’Analyse Mathématique 26 Archive for Rational Mechanics and Analysis 23 Mathematische Annalen 17 Mathematische Zeitschrift 16 Applicable Analysis 14 Journal of Functional Analysis 13 Bulletin of the American Mathematical Society 12 Archiv der Mathematik 12 Kodai Mathematical Seminar Reports 12 Complex Variables and Elliptic Equations 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Journal of Computational and Applied Mathematics 10 Annales de l’Institut Fourier 10 Journal of Differential Equations 10 Numerische Mathematik 10 Complex Analysis and Operator Theory 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 9 The Journal of Geometric Analysis 8 Rocky Mountain Journal of Mathematics 8 Integral Equations and Operator Theory 8 Journal of Approximation Theory 7 Mathematics of Computation 6 Acta Mathematica 6 Kodai Mathematical Journal 6 Manuscripta Mathematica 6 Computational Methods and Function Theory 5 Journal of Mathematical Physics 5 Monatshefte für Mathematik 4 Communications in Mathematical Physics 4 Israel Journal of Mathematics 4 Mathematical Methods in the Applied Sciences 4 Mathematical Notes 4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 4 Duke Mathematical Journal 4 Journal of Soviet Mathematics 4 Mathematische Nachrichten 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Mathematical Problems in Engineering 3 Computer Methods in Applied Mechanics and Engineering 3 International Journal of Theoretical Physics 3 Journal of the Franklin Institute 3 Wave Motion 3 Advances in Mathematics 3 Compositio Mathematica 3 Inventiones Mathematicae 3 Results in Mathematics 3 Science in China. Series A 3 Aequationes Mathematicae 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Mathematical Sciences (New York) 3 Advances in Computational Mathematics 2 Fluid Dynamics 2 General Relativity and Gravitation 2 International Journal of Engineering Science 2 Physics of Fluids 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Chaos, Solitons and Fractals 2 Journal of Geometry and Physics 2 Automatica 2 Calcolo 2 Glasgow Mathematical Journal 2 International Journal for Numerical Methods in Engineering 2 Journal of Optimization Theory and Applications 2 Michigan Mathematical Journal 2 Numerical Functional Analysis and Optimization 2 Proceedings of the Japan Academy. Series A 2 Siberian Mathematical Journal 2 Numerical Methods for Partial Differential Equations 2 International Journal of Mathematics 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Communications in Numerical Methods in Engineering 2 St. Petersburg Mathematical Journal 2 Georgian Mathematical Journal 2 Advances in Applied Clifford Algebras 2 Engineering Analysis with Boundary Elements 2 The Journal of Fourier Analysis and Applications 2 Conformal Geometry and Dynamics 2 The ANZIAM Journal 2 Mediterranean Journal of Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Rendiconti del Circolo Matematico di Palermo 2 Science China. Mathematics 2 Analysis and Mathematical Physics 1 Acta Mechanica 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 International Journal of Heat and Mass Transfer 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics ...and 83 more Serials all top 5 Cited in 46 Fields 154 Functions of a complex variable (30-XX) 141 Partial differential equations (35-XX) 125 Several complex variables and analytic spaces (32-XX) 74 Operator theory (47-XX) 71 Functional analysis (46-XX) 56 Numerical analysis (65-XX) 52 Potential theory (31-XX) 22 Quantum theory (81-XX) 21 Fluid mechanics (76-XX) 17 Approximations and expansions (41-XX) 16 Differential geometry (53-XX) 14 Mechanics of deformable solids (74-XX) 11 Integral equations (45-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Ordinary differential equations (34-XX) 7 Special functions (33-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 History and biography (01-XX) 5 Algebraic geometry (14-XX) 5 Abstract harmonic analysis (43-XX) 4 Probability theory and stochastic processes (60-XX) 4 Systems theory; control (93-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Associative rings and algebras (16-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral transforms, operational calculus (44-XX) 3 Manifolds and cell complexes (57-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Computer science (68-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-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 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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