Stefan Bergman | Academic Influence

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Stefan Bergman

Mathematics

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Measure Theory

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Mathematics

Stefan Bergman's Degrees

PhD Mathematics University of Chicago

Why Is Stefan Bergman Influential?

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According to Wikipedia, Stefan Bergman was a Congress Poland-born American mathematician whose primary work was in complex analysis. His name is also written Bergmann; he dropped the second "n" when he came to the U. S. He is best known for the kernel function he discovered while at University of Berlin in 1922. This function is known today as the Bergman kernel. Bergman taught for many years at Stanford University, and served as an advisor to several students.

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Stefan Bergman's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The kernel function and conformal mapping (1950) (745)
Integral Operators In The Theory Of Linear Partial Differential Equations (1962) (223)
Kernel functions and conformal mapping (1951) (119)
Über die Kernfunktion eines Bereiches und ihr Verhalten am Rande. I. (1933) (107)
Über die Entwicklung der harmonischen Funktionen der Ebene und des Raumes nach Orthogonalfunktionen (1922) (90)
Contributions to the Theory of Partial Differential Equations. (1955) (60)
Sur les fonctions orthogonales de plusieurs variables complexes avec les applications à la théorie des fonctions analytiques (1947) (39)
Kernel functions in the theory of partial differential equations of elliptic type (1948) (34)
A representation of Green’s and Neumann’s functions in the theory of partial differential equations of second order (1947) (33)
Numerical solution of Boundary-Value problems by the method of integral operators (1965) (21)
Two-dimensional subsonic flows of a compressible fluid and their singularities (1947) (20)
Two-Dimensional Transonic Flow Patterns. (1948) (20)
Zur Theorie der ein- und mehrwertigen harmonischen Funktionen des dreidimensionalen Raumes (1926) (19)
Sur les fonctions analytiques de deux variables complexes (1942) (19)
Classes of solutions of linear partial differential equations in three variables (1946) (18)
Über eine in gewissen Bereichen mit Maximumfläche gültige Integraldarstellung der Funktionen zweier komplexer Variabler. I (1935) (18)
Linear operators in the theory of partial differential equations (1943) (18)
Über die Existenz von Repräsentantenbereichen in der Theorie der Abbildung durch Paare von Funktionen zweier komplexen Veränderlichen (1930) (18)
Zur Theorie der algebraischen Potentialfunktionen des dreidimensionalen Raumes. I (1928) (17)
Application of the method of the kernel function for solving boundary-value problems (1961) (17)
ON SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS OF MIXED TYPE. (1952) (16)
The approximation of functions satisfying a linear partial differential equation (1940) (16)
A Formula for the Stream Function of Certain Flows. (1943) (15)
A Course of Mathematical Analysis for Higher Technical Institutes. (1946) (14)
Über unendliche Hermitesche Formen, die zu einem Bereiche gehören, nebst Anwendungen auf Fragen der Abbildung durch Funktionen von zwei komplexen Veränderlichen (1929) (14)
Certain classes of analytic functions of two real variables and their properties (1945) (14)
Functions satisfying certain partial differential equations of elliptic type and their representation (1947) (13)
Some properties of a harmonic function of three variables given by its series development (1961) (13)
On solutions with algebraic character of linear partial differential equations (1950) (13)
A procedure for conformal mapping of triply-connected domains (1967) (13)
Functions of extended class in the theory of functions of several complex variables (1948) (12)
Effect of normally occurring rabbit antibodies on fluorescent-antibody reactions (1966) (12)
Punch-card machine methods applied to the solution of the torsion problem (1947) (12)
On Green’s and Neumann’s functions in the theory of partial differential equations (1947) (11)
On Two-Dimensional Flows of Compressible Fluids (1945) (11)
Residue theorems of harmonic functions of three variables (1943) (10)
Über ausgezeichnete Randflächen in der Theorie der Funktionen von zwei komplexen Veränderlichen (1931) (10)
Application of integral operators to the theory of partial differential equations with singular coefficients (1962) (10)
Über die Bestimmung der elastischen Spannungen und Verschiebungen in einem konvexen Körper. (1928) (9)
Construction of a complete set of solutions of a linear partial differential equation in two variables, by use of punch card machines (1946) (9)
Solutions of linear partial differential equations of the fourth order (1944) (9)
Über Kurvenintegrale von Funktionen zweier komplexen Veränderlichen, die die Differentialgleichung ΔV+V=0 befriedigen (1930) (8)
On Representation of Stream Functions of Subsonic and Supersonic Flows of Compressible Fluids (1955) (8)
A class of harmonic functions in three variables and their properties (1946) (8)
Über die Bestimmung der Verzweigungspunkte eines hyperelliptischen Integrals aus seinen Periodizitätsmoduln mit Anwendungen auf die Theorie des Transformators (1924) (8)
The Behavior of the Kernel Function at Boundary Points of the Second Order (1943) (8)
Essential Singularities of Solutions of a Class of Linear Partial Differential Equations in Three Variables (1954) (8)
A Remark on the Mapping of Multiply-Connected Domains (1946) (8)
On an initial value problem in the theory of two-dimensional transonic flow patterns (1970) (7)
On singularities of solutions of certain differential equations in three variables (1957) (7)
Mehrdeutige Lösungen bei Potentialströmungen mit freien Grenzen (1932) (7)
Integral operators in the study of an algebra and of a coefficient problem in the theory of three-dimensional harmonic functions (1963) (6)
Distinguished sets of invariants in the theory of pseudo-conformal transformations (1964) (6)
On the coefficient problem in the theory of a system of linear partial differential equations (1963) (6)
Determixation of a Compressible Fluid Flow Past an Oval-Shaped Obstacle (1947) (6)
An initial value problem for a class of equations of mixed type (1949) (5)
Bounds for analytic functions in domains with a distinguished boundary surface (1955) (5)
Kernel functions and partial differential equations (1951) (5)
The coefficient problem in the theory of linear partial differential equations (1952) (5)
A property of pseudo-conformal transformations in the neighborhood of boundary points (1942) (5)
New methods for solving boundary value problems (1956) (5)
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† (1947) (5)
Über den Wertevorrat einer Funktion von zwei komplexen Veränderlichen (1933) (5)
On supersonic and partially supersonic flows (1946) (4)
Multivalued harmonic functions in three variables (1956) (4)
Über meromorphe Funktionen von zwei komplexen Veränderlichen (1939) (4)
Some Properties of Pseudo-conformal Images of Circular Domains in the Theory of Two Complex Variables (1965) (4)
Interior distinguished points in the theory of functions of two complex variables (1967) (4)
Über die Berechnung der Temperaturverteilung im Rotor einer Dynamomaschine (4)
Bounds for Solutions of a System of Partial Differential Equations (1956) (4)
The determination of some properties of a function satisfying a partial differential equation from its series development (1944) (4)
Potential-theoretic methods in the theory of functions of two complex variables (1952) (3)
The Method of the Minimum Integral and Analytic Continuation of Functions of Complex Variables. (1941) (3)
Zur Veranschaulichung der Kreiskörper und Bereiche mit ausgezeichneter Randfläche. (1933) (3)
Zwei Sätze über Funktionen von zwei komplexen Veränderlichen (1928) (3)
Properties of Solutions of Certain Differential Equations in Three Variables (1958) (3)
Sur les fonctions entières et méromorphes de deux variables complexes I (1936) (3)
Bounded Functions of Two Complex Variables (1944) (3)
On zero and pole surfaces of functions of two complex variables (1954) (3)
Zur Theorie der algebraischen Potentialfunktionen des dreidimensionalen Raumes. II (3)
Über die Kernfunktion eines Bereiches und ihr Verhalten am Rande. II. (1935) (3)
Various Kernels in the Theory of Partial Differential Equations. (1950) (3)
On the Surface Integrals of Functions of Two Complex Variables (1941) (3)
Some properties of pseudo-conformal images of Reinhardt circular domains (1972) (2)
On distortion in pseudo-conformal mapping (1942) (2)
Application of the kernel function for the computation of flows of compressible fluids (1968) (2)
Über eine Darstellung der Abbildungsfunktion eines Sternbereiches (1929) (2)
Ueber die Lösung der partiellen Differentialgleichung . (2)
A modified moment problem in two variables (1940) (2)
Partial differential equations (1950) (2)
On numerical calculation of transonic flow patterns (1968) (2)
Zwei Sätze aus dem Ideenkreis des Schwarzschen Lemmas über die Funktionen von zwei komplexen Veränderlichen (1934) (2)
The hodograph method in the theory of compressible fluid (1942) (2)
On two-dimensional supersonic flows (1949) (2)
Tables for the determination of fundamental solutions of equations in the theory of compressible fluids (1955) (2)
A Method of Solving Boundary Value Problems of Mathematical Physics on Punch Card Machines (1954) (2)
Approximation of harmonic functions of three variables by harmonic polynomials (1966) (2)
On a generalized Green's function and certain of its applications (1941) (2)
IV. On Multivalued Solutions of Linear Partial Differential Equations (1953) (2)
On Tables for the Determination of Transonic Flow Patterns. (1949) (2)
Graphical and Analytical Methods for the Determination of a Flow of a Compressible Fluid Around an Obstacle (1945) (2)
A class of pseudo-conformal and quasi-pseudo-conformal mappings (1958) (2)
A theorem of Green’s type for functions of two complex variables (1953) (2)
Boundary Values of Functions Satisfying a Linear Partial Differential Equation of Elliptic Type. (1940) (2)
The number of intersection points of two analytic surfaces in the space of two complex variables (1959) (2)
Some Linear Operators in the Theory of Partial Differential Equations. (1950) (1)
A Majorant Method For Non-Linear Partial Differential Equations. (1951) (1)
Functions of two complex variables and pseudo-conformal mappings (1950) (1)
Systems of differential equations (1969) (1)
On Integral Operators Generating Stream Functions of Compressible Fluids (1964) (1)
Review: Lipman Bers, Mathematical aspects of subsonic and transonic gas dynamics (1961) (1)
Computation of a class of subsonic flow patterns (1971) (1)
Methods for determination and computation of flow patterns of a compressible fluid (1946) (1)
On pseudo-conformal images of circular domains (1969) (1)
On computation of flow patterns of compressible fluids in the transonic region (1967) (1)
Some distortion theorems related to an invariant metric in C (1967) (1)
APPLICATION OF INTEGRAL OPERATORS TO SINGULAR DIFFERENTIAL EQUATIONS AND TO COMPUTATIONS OF COMPRESSIBLE FLUID FLOWS. (1966) (1)
CALCULATION OF PARTICULAR SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS BY THE METHOD OF INTEGRAL OPERATORS (1962) (1)
A class of nonlinear partial differential equations and their properties (1945) (1)
The distinguished boundary sets and value distribution of functions of two complex variables (1964) (1)
On the mathematical theory of flow patterns of compressible fluids (1976) (1)
Models in the Theory of Several Complex Variables (1946) (1)
Über die schlichten Bereiche in der Theorie der Funktionen von zwei komplexen Veränderlichen. (1)
A Class of Quasi-Pseudo-Conformal Transformations in the Theory of Functions of Two Complex Variables (1958) (1)
Canonical conformal transformations (1950) (0)
Determination of Axially Symmetric Flow Patterns of a Compressible Fluid (1950) (0)
Some bounds for coefficients of schlicht pseudo-conformal mappings (1962) (0)
The kernel function and associated minimum problems (1950) (0)
Harmonic functions in three variables (1969) (0)
The invariant metric and the method of the minimum integral (1950) (0)
Neuere polnische Arbeiten über Mechanik . (0)
The Visualization of Domains of the Theory of Functions of Two Complex Variables (1941) (0)
On some properties of pseudo-conformal images of circular domains (1970) (0)
On pseudo-conformal mappings of circular domains (1972) (0)
Research into the amplitudes of accomodation of Afrikaans group. (1957) (0)
A Remark on the Paper “Sur Les Fonctions Analytiques de deux Variables Complexes” (1942) (0)
RESEARCH OF TWO-DIMENSIONAL TRANSONIC FLOW PATTERNS OF COMPRESSIBLE FLUIDS. (1966) (0)
The solution of boundary value problems by the method of the kernel function (1952) (0)
SOME DISTORTION THEOREMS OF QUASI-ANALYTIC MAPPINGS IN THE SPACE OF TWO COMPLEX VARIABLES.* 1 (1963) (0)
Orthogonalization over the boundary (1950) (0)
Corrigenda: “Procedure for conformal mapping of triply-connected domains” (1968) (0)
Differential equations in three variables (1969) (0)
Equations of mixed type and elliptic equations with singular and non-analytic coefficients (1969) (0)
Representation of the classical domain functions (1950) (0)
Generalization of potential-theoretical and certain subclasses of functions (1950) (0)
Über Flüssigkeitsbewegungen mit Unstetigkeitsflächen (1931) (0)
Über eine in gewissen Bereichen mit Maximumfläche gültige Integraldarstellung der Funktionen zweier komplexer Variabler. II (1935) (0)
Bounds for distortion in pseudoconformal mappings (1975) (0)
An integral representation of functions of two complex variables : [translated from German & Russian (1957) (0)
On distinguished representative domains (1977) (0)
APPLICATION OF INTEGRAL OPERATORS TO THE THEORY OF EQUATIONS OF MIXED TYPE (1961) (0)
Kernel functions and Hilbert space (1950) (0)
Differential equations in two variables with entire coefficients (1969) (0)

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