branches of analysis. The Fatou lemma and the Fatou set are named after him. Pierre Fatou's parents were Prosper Ernest Fatou (1832-1891) and Louise Eulalie...

Julia set and the Fatou set are two complementary sets (Julia "laces" and Fatou "dusts") defined from a function. Informally, the Fatou set of the function...

of these functions. The lemma is named after Pierre Fatou. Fatou's lemma can be used to prove the Fatou–Lebesgue theorem and Lebesgue's dominated convergence...

In mathematics, Fatou components are components of the Fatou set. They were named after Pierre Fatou. If f is a rational function f = P ( z ) Q ( z ) {\displaystyle...

Mandelbrot fractals are closely related. He founded, independently with Pierre Fatou, the modern theory of holomorphic dynamics. Julia was born in the Algerian...

Fatou may refer to: Aminata Fatou Diallo (born 1995), French footballer Cecilia Fatou-Berre (1901 – 1989), religious sister Fatou Baldeh (born 1983),...

In mathematics, specifically in complex analysis, Fatou's theorem, named after Pierre Fatou, is a statement concerning holomorphic functions on the unit...

superior of integrals of these functions. The theorem is named after Pierre Fatou and Henri Léon Lebesgue. If the sequence of functions converges pointwise...

also contains the first exposition in the book form of the results of Pierre Fatou and Gaston Julia on holomorphic dynamics. The notion of normal family...

for holomorphic maps in higher dimensions, as the famous example of Pierre Fatou shows. The function f(z) = exp(1/z) has an essential singularity at 0...

analytic spaces. Subsequently, he became more interested in the work of Pierre Fatou and Gaston Julia and made significant contributions to the fields of...

convergence to zero coefficients (1912). This example disproved the Pierre Fatou conjecture and was unexpected to most mathematicians at that time. At...

complex dynamics, a field first investigated by the French mathematicians Pierre Fatou and Gaston Julia at the beginning of the 20th century. The fractal was...

then, one year later, his carpet. By 1918, two French mathematicians, Pierre Fatou and Gaston Julia, though working independently, arrived essentially simultaneously...

consequence of the Riemann mapping theorem, there are no Fatou–Bieberbach domains in the case n = 1. Pierre Fatou and Ludwig Bieberbach first explored such domains...

Jennie Smillie, Canadian gynecological surgeon (died 1981) February 28 – Pierre Fatou, French mathematician (died 1929) March 4 – Peter D. Ouspensky, Russian...

Eugène Cahen 1923: Paul Appell 1924: Paul Lévy 1925: Paul Montel 1926: Pierre Fatou 1927: Bertrand de Defontviolant 1928: Alexandre Thybaut 1929: André Auric...

Millicent Fawcett, British suffragist, feminist (b. 1847) August 9 – Pierre Fatou, French mathematician (b. 1878) August 10 – Aletta Jacobs, Dutch physician...

1866 – Vyacheslav Ivanov, Russian poet and playwright (d. 1949) 1878 – Pierre Fatou, French mathematician and astronomer (d. 1929) 1884 – Ants Piip, Estonian...

of the complex plane. Building on previous work by Gaston Julia and Pierre Fatou, Mandelbrot used a computer to plot images of the Julia sets. While investigating...

Irish Republican, executed for the killing of Sir Henry Wilson 1929 – Pierre Fatou, French mathematician and astronomer (b. 1878) 1929 – Aletta Jacobs,...

of f r {\displaystyle f^{r}} at z has absolute value greater than 1.) Pierre Fatou and Gaston Julia showed in the late 1910s that much of this story extends...

milestone in industrial chemistry with deep consequences in agriculture. Pierre Fatou defines the Mandelbrot set. Oswald Veblen proves the Jordan curve theorem...

Olympique de Marseille Illan Meslier, b. 2000, goalkeeper for Leeds United Pierre Fatou (1878–1929), mathematician and astronomer Nicole Le Douarin, b. 1930...

June 15 – Traian Lalescu (born 1882), Romanian mathematician. August 10 Pierre Fatou (born 1878), French mathematician. Aletta Jacobs (born 1854), Dutch physician...

systems, mathematicians Gaston Julia and Pierre Fatou studied the iteration of complex functions . Julia and Fatou's work was broad, focusing on analytic...

Bourbaki Ivar Ekeland (1963) Nicole El Karoui (1964) Hélène Esnault (1973) Pierre Fatou (1898) Jacqueline Ferrand (1936) Étienne Fouvry (1972) Maurice René Fréchet...

1973) February 26 – Emmy Destinn, Czech soprano (d. 1930) February 28 – Pierre Fatou, French mathematician (d. 1929) March 3 – Edward Thomas, British poet...

Staub concerns parallel worlds, computers, and the mathematical work of Pierre Fatou. It won the Deutscher Science Fiction Preis and the Kurd-Laßwitz-Preis...

In mathematics, the Fatou conjecture, named after Pierre Fatou, states that a quadratic family of maps from the complex plane to itself is hyperbolic for...