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Complex analysts

46 articles

Albert Charles Schaeffer

Albert Charles Schaeffer (1907–1957) was a mathematician who worked in geometric function theory and conformal mapping, co-authoring the 1950 monograph Coefficient Regions for Schlicht Functions with Donald Spencer.

Alfred Pringsheim

Alfred Pringsheim was a German mathematician who held the chair at the University of Munich, proved foundational theorems on series convergence, and was Thomas Mann's father-in-law.

Anatoli Vitushkin

Anatoli Vitushkin, also known as Anatoli Georgievich Vitushkin (Анатолий Витушкин), was a Soviet and Russian mathematician at the Steklov Institute in Moscow known for analytic capacity and Vitushkin's conjecture.

André Bloch (mathematician)

André Bloch (1893–1948) was a French complex analyst who, confined for 31 years in the Saint-Maurice psychiatric hospital after killing three relatives in 1917, produced Bloch's theorem and the Bloch constant.

Arne Beurling

Arne Beurling (1905–1986) was a Swedish mathematician, professor at Uppsala and later the Institute for Advanced Study, who broke the German Geheimschreiber cipher by hand in 1940.

Dimitrie Pompeiu

Dimitrie Pompeiu (1873–1954) was a Romanian mathematician who worked in complex analysis and mechanics, introduced the distance between sets now called the Hausdorff distance, and posed the Pompeiu problem in 1929.

Édouard Goursat

Édouard Goursat (1858–1936) was a French mathematician, professor at the Sorbonne, remembered for proving Cauchy's integral theorem without assuming continuity and for his three-volume Cours d'analyze mathématique.

Enzo Martinelli

Enzo Martinelli (1911–1999) was an Italian mathematician at the University of Rome, known for the Bochner–Martinelli formula, the first multidimensional analog of Cauchy's integral formula.

Ernst Leonard Lindelöf

Ernst Leonard Lindelöf (1870–1946) was a Finnish mathematician at the University of Helsinki who founded the Finnish school of function theory and named the Lindelöf hypothesis.

Faruk Fuad Abi-Khuzam

Faruk Fuad Abi-Khuzam is a Lebanese mathematician, Professor of Mathematics at the American University of Beirut, known for the 1974 Abi-Khuzam inequality proving Yff's conjecture on the Brocard angle.

Friedrich Hartogs

Friedrich (Fritz) Moritz Hartogs was a German mathematician at the University of Munich, regarded as the founder of several complex variables; his 1906 extension theorem shows holomorphic functions of several complex variables cannot have isolated singularities.

Friedrich Schottky

Friedrich Hermann Schottky (1851–1935) was a German mathematician who worked on Abelian and automorphic functions, known for Schottky groups, Schottky's theorem, and the Schottky problem of characterizing Jacobian varieties.

Fritz Carlson

Fritz David Carlson (1888–1952) was a Swedish mathematician known for Carlson's theorem, Carlson's inequality, and the Carlson–Pólya theorem, and professor at Stockholms högskola from 1927.

Giacinto Morera

Giacinto Morera (1856–1909) was an Italian mathematician and rational mechanician, professor at Genoa and Turin, known for Morera's theorem, a converse of Cauchy's integral theorem published in 1886.

Gösta Mittag-Leffler

Gösta Mittag-Leffler, born Magnus Gösta Mittag-Leffler (1846–1927), was a Swedish mathematician who proved the Mittag-Leffler theorem, founded Acta Mathematica in 1882, and whose Djursholm estate became a research institute.

Hector Munro Macdonald

Hector Munro Macdonald (1865–1935) was a Scottish mathematician and Fellow of the Royal Society, professor of mathematics at Aberdeen from 1904, known for Macdonald's theorem on zeros of analytic functions.

Heinrich Behnke

Heinrich Behnke (1898–1979) was a German mathematician, professor at the University of Münster from 1927, known for the 1934 Behnke–Thullen monograph and the Behnke–Stein theorem on Riemann surfaces.

Helmut Grunsky

Helmut Grunsky (1904–1986) was a German mathematician whose 1939 Grunsky inequalities became a standard tool of geometric function theory and work on the Bieberbach conjecture.

Henri Skoda

Henri Skoda, born 1945, is a French mathematician specializing in several complex variables, known for his L2 estimates, division theorem, and work on positive currents.

Herbert Grötzsch

Herbert Grötzsch (1902–1993) was a German mathematician, the main founder of the theory of quasiconformal mappings, and the namesake of the Grötzsch theorem, Grötzsch graph, Grötzsch domain, and Grötzsch Problem.

Hermann Schwarz

Hermann Amandus Schwarz (1843–1921) was a German mathematician known for the Cauchy–Schwarz inequality, the Schwarz lemma, and the first rigorous proof of the Riemann mapping theorem.

Johan Jensen (Danish mathematician)

Johan Jensen (1859–1925) was a Danish telephone engineer and self-taught mathematician, chief engineer of the Copenhagen Telephone Company, remembered for Jensen's inequality and Jensen's formula in complex analysis.

John Macnaghten Whittaker

John Macnaghten Whittaker (1905–1984) was a British mathematician, son of E. T. Whittaker, elected a Fellow of the Royal Society in 1949 and Vice-Chancellor of the University of Sheffield from 1952 to 1965.

Josip Plemelj

Josip Plemelj (1873–1967) was a Slovenian mathematician known for the Sokhotski–Plemelj formulas, his 1908 solution of the Riemann problem, and serving as the first rector of the University of Ljubljana.

Julian Sochocki

Julian Sochocki, also romanised Yulian Vasilievich Sokhotskii, was a Polish-born mathematician who spent his career in Saint Petersburg, proved the Sokhotski–Plemelj formulas in 1873, and belonged to Chebyshev's school.

Julius Wolff (Dutch mathematician)

Julius Wolff was a Dutch mathematician and professor at Groningen and Utrecht, known for the Denjoy–Wolff theorem; dismissed in 1940, he died in Bergen-Belsen in 1945.

Karl Stein (mathematician)

Karl Stein (1913–2000) was a German mathematician, professor at Munich from 1955, whose 1951 definition of Stein manifolds became a foundational object of complex geometry.

Kiyoshi Oka

Kiyoshi Oka (岡 潔; 1901–1978) was a Japanese mathematician who solved major problems in complex analysis between 1936 and 1953, including the Levi problem and the coherence of the structure sheaf.

Lars Edvard Phragmén

Lars Edvard Phragmén (1863–1937) was a Swedish mathematician known for the Phragmén–Lindelöf principle in complex analysis and a load-balancing proportional election method still part of Swedish law.

Lester R. Ford

Lester R. Ford, born Lester Randolph Ford, was an American mathematician known for Ford circles and for Automorphic Functions (1929), the first English treatise on automorphic functions.