418:
402:
343:
187:
243:
In the summer of 1929 Fatou went on holiday to
Pornichet, a seaside town to the west of Nantes. He was staying in Le Brise-Lames Villa near the port and it was there at 8 p.m. on Friday 9 August that he died in his room. No cause of death was given on the death certificate but Audin argues that he
194:
Pierre Fatou's parents were
Prosper Ernest Fatou (1832-1891) and Louise Eulalie Courbet (1844-1911), both of whom were in the military. Pierre's family would have liked for him to enter the military as well, but his health was not sufficiently good for him to pursue a military career.
33:
526:
and his students and developed into a large area of modern applied mathematics. Fatou's other research in celestial mechanics includes a study of the movement of a planet in a resisting medium.(
395:
998:
1226:
1216:
1221:
1136:
226:
1175:
1073:
910:
441:). It deals with a global study of iteration of analytic functions. He was the first to introduce and study the set which is called now the
1166:
832:
453:
and Samuel Lattes in 1918. Holomorphic dynamics has experienced a strong revival since 1982 because of the new discoveries of
289:, mainly to the study of analytic and harmonic functions in the unit disc. In this work, Fatou studied for the first time the
248:
Having never thought it useful during his life to consult a doctor, my dear uncle died suddenly in a hotel room in
Pornichet.
199:
84:
1188:
258:
Fatou's funeral was held on 14 August in the church of Saint-Louis, and he was buried in the Carnel
Cemetery in Lorient.
837:
484:
107:
822:
325:
233:
1141:
349:
466:
320:). This theorem was at the origin of a large body of research in 20th-century mathematics under the name of
417:
332:
294:
286:
267:
167:
1211:
1206:
1026:
842:
507:
426:
1127:
511:
503:
401:
914:
873:
523:
462:
1147:
812:
1131:
1171:
1112:
Early days in complex dynamics: a history of complex dynamics in one variable during 1906-1942
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519:
313:
309:
282:
207:
135:
202:
in Paris in 1898 to study mathematics and graduated in 1901 when he was appointed an intern (
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1034:
826:
807:
789:
779:
752:
712:
687:
666:
656:
632:
622:
598:
588:
563:
553:
495:, which are biholomorphically equivalent to the whole space. (Such regions cannot exist for
483:
As a byproduct of his studies in holomorphic dynamics, Fatou discovered what are now called
290:
222:
147:
142:
990:
972:
793:
691:
670:
636:
602:
567:
469:
454:
232:
He was in friendly relations with several contemporary French mathematicians, especially,
218:
449:). Some of the basic results of holomorphic dynamics were also independently obtained by
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1083:
953:
298:
1161:
1200:
1038:
458:
336:
305:
986:
477:
450:
244:
died as a result of a stomach ulcer that burst. Fatou's nephew Robert Fatou wrote:
1058:
Fatou, Julia, Montel, le Grand prix des sciences mathématiques de 1918, et après..
237:
171:
97:
1094:
1065:
726:
Fatou, P. (1923b). "Sur le mouvement d'une planète dans un milieu résistant".
163:
1184:
1154:
817:
446:
442:
397:
investigated by Fatou in 1906. This picture is made with a modern computer.
175:
102:
72:
342:
186:
425:
In 1917–1920 Fatou created the area of mathematics which is called
1017:
Mitropolsky, Iu. A. (1967). "Averaging method in non-linear mechanics".
210:. Fatou was promoted to assistant astronomer in 1904 and to astronomer (
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767:
757:
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717:
700:
661:
644:
627:
610:
558:
541:
53:
593:
576:
1110:
678:
Fatou, P. (1922). "Sur les fonctions méromorphes de deux variables".
768:"Sur le mouvement d'un système soumis à des forces à courte période"
701:"Sur les fonctions holomorphes et bornées à l'intérieur d'un cercle"
680:
Comptes Rendus
Hebdomadaires des Séances de l'Académie des Sciences
416:
400:
341:
185:
162:(28 February 1878 – 9 August 1929) was a French mathematician and
32:
506:. He was the first to prove rigorously a theorem (conjectured by
491:). These are proper subregions of the complex space of dimension
1115:, History of Mathematics 38, American Mathematical Society 2012
465:
and others. In 1926, Fatou pioneered the study of dynamics of
166:. He is known for major contributions to several branches of
266:
Fatou's work had very large influence on the development of
1084:"Notice sur les travaux scientifique de Pierre Fatou (pdf)"
214:) in 1928. He worked in this observatory until his death.
913:(in French). French mathematical society. Archived from
297:
on the unit circle. This work of Fatou is influenced by
1150:
by Michèle Audin, on the site Images des Mathématiques.
741:"Sur l'itération des fonctions transcendantes entières"
324:. See also the Knowledge (XXG) article on functions of
445:. (The complement of this set is sometimes called the
354:
1109:
Daniel
Alexander, Felice Iavernaro, Alessandro Rosa:
421:
Julia set of a sine function studied by Fatou in 1926
352:
991:"Mémoire sur l'itération des fonctions rationnelles"
141:
131:
123:
90:
80:
61:
39:
23:
389:
1170:. New York: Charles Scribner's Sons. 1970–1980.
246:
514:produced by a periodic force of short period (
772:Bulletin de la Société Mathématique de France
705:Bulletin de la Société Mathématique de France
649:Bulletin de la Société Mathématique de France
615:Bulletin de la Société Mathématique de France
581:Bulletin de la Société Mathématique de France
542:"Séries trigonométriques et séries de Taylor"
8:
999:Journal de Mathématiques Pures et Appliquées
275:Séries trigonométriques et séries de Taylor
316:on the unit circle was published in 1906 (
31:
20:
783:
756:
716:
660:
626:
592:
557:
378:
353:
351:
1153:List of publications of Pierre Fatou on
1148:Pierre Fatou, mathématicien et astronome
390:{\displaystyle {\tfrac {1}{2}}(z+z^{2})}
1137:MacTutor History of Mathematics Archive
854:
645:"Sur les Ă©quations fonctionnelles, III"
331:A number of fundamental results on the
611:"Sur les Ă©quations fonctionnelles, II"
527:
438:
221:prize in 1918; he was a knight of the
935:
897:
577:"Sur les Ă©quations fonctionnelles, I"
515:
488:
473:
434:
430:
317:
278:
7:
868:
866:
864:
862:
860:
858:
225:(1923). He was the president of the
728:Bulletin des Sciences Mathématiques
312:in the unit disc has radial limits
301:who invented his integral in 1901.
281:) was the first application of the
1217:20th-century French mathematicians
1167:Dictionary of Scientific Biography
833:Classification of Fatou components
14:
878:www-history.mcs.st-andrews.ac.uk
16:French mathematician (1878–1929)
1227:École Normale Supérieure alumni
1222:20th-century French astronomers
518:). This work was continued by
413:investigated by Fatou in 1926.
384:
365:
1:
1189:Mathematics Genealogy Project
838:Fatou–Bieberbach domain
1039:10.1016/0020-7462(67)90020-0
502:Fatou did important work in
308:, which says that a bounded
967:Bieberbach, Ludwig (1955).
253:Pierre Joseph Louis Fatou,
227:French mathematical society
1243:
950:Bounded analytic functions
322:bounded analytic functions
262:Mathematical work of Fatou
1066:10.1007/978-3-642-00446-9
948:Garnett, John B. (1981).
160:Pierre Joseph Louis Fatou
153:
116:
30:
1142:University of St Andrews
1097:(1933). "Pierre Fatou".
1060:. Heidelberg: Springer.
510:) on the averaging of a
485:Fatou–Bieberbach domains
285:to concrete problems of
200:École Normale Supérieure
85:École Normale Supérieure
1056:Audin, Michèle (2009).
969:Analytische Fortsetzung
108:Fatou–Bieberbach domain
1019:Intl. J. Non-Lin. Mech
823:Fatou–Lebesgue theorem
478:intensively developing
476:), a subject which is
422:
414:
398:
391:
256:
217:Fatou was awarded the
191:
1099:Bulletin Astronomique
534:Selected publications
420:
404:
392:
345:
333:analytic continuation
270:in the 20th century.
189:
178:are named after him.
1128:Robertson, Edmund F.
911:"Anciens Présidents"
843:Holomorphic dynamics
427:holomorphic dynamics
350:
234:Maurice René Fréchet
1126:O'Connor, John J.;
1031:1967IJNLM...2...69M
917:on 29 November 2014
643:Fatou, P. (1920b).
504:celestial mechanics
273:Fatou's PhD thesis
212:astronome titulaire
785:10.24033/bsmf.1131
766:Fatou, P. (1928).
758:10.1007/BF02559517
739:Fatou, P. (1926).
718:10.24033/bsmf.1033
699:Fatou, P. (1923).
662:10.24033/bsmf.1008
628:10.24033/bsmf.1003
609:Fatou, P. (1920).
575:Fatou, P. (1919).
559:10.1007/BF02418579
540:Fatou, P. (1906).
524:Nikolay Bogolyubov
423:
415:
399:
387:
363:
198:Fatou entered the
192:
1177:978-0-684-10114-9
1075:978-3-642-00445-2
874:"Fatou biography"
594:10.24033/bsmf.998
520:Leonid Mandelstam
362:
339:belong to Fatou.
314:almost everywhere
310:analytic function
283:Lebesgue integral
208:Paris Observatory
157:
156:
136:Paris Observatory
118:Scientific career
1234:
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927:
926:
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922:
907:
901:
895:
889:
888:
886:
884:
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808:Fatou conjecture
797:
787:
762:
760:
745:Acta Mathematica
735:
722:
720:
695:
674:
664:
640:
630:
606:
596:
571:
561:
546:Acta Mathematica
470:entire functions
396:
394:
393:
388:
383:
382:
364:
355:
293:of an arbitrary
291:Poisson integral
254:
223:Legion of Honour
143:Doctoral advisor
68:
50:28 February 1878
49:
47:
35:
21:
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1016:
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993:
985:
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980:
973:Springer Verlag
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920:
918:
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871:
856:
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813:Fatou's theorem
804:
765:
738:
725:
698:
677:
642:
608:
574:
539:
536:
455:Dennis Sullivan
374:
348:
347:
264:
255:
252:
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112:
81:Alma mater
76:
70:
66:
57:
51:
45:
43:
26:
17:
12:
11:
5:
1240:
1238:
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1229:
1224:
1219:
1214:
1209:
1199:
1198:
1192:
1191:
1182:
1176:
1162:"Pierre Fatou"
1158:
1151:
1145:
1132:"Pierre Fatou"
1121:
1120:External links
1118:
1117:
1116:
1107:
1091:
1089:. Paris. 1929.
1080:
1074:
1051:
1048:
1045:
1044:
1009:
978:
959:
954:Academic Press
940:
938:, p. 132.
928:
902:
900:, p. 138.
890:
853:
852:
850:
847:
846:
845:
840:
835:
830:
820:
815:
810:
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800:
799:
798:
763:
751:(4): 337–370.
736:
723:
696:
675:
572:
535:
532:
480:at this time.
467:transcendental
386:
381:
377:
373:
370:
367:
361:
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299:Henri Lebesgue
263:
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100:
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91:Known for
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69:(aged 51)
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28:
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1005:
1002:(in French).
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987:Julia, Gaston
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827:Fatou's lemma
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459:Adrien Douady
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408:
405:Julia set of
403:
379:
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368:
359:
356:
346:Julia set of
344:
340:
338:
337:Taylor series
334:
329:
327:
323:
319:
315:
311:
307:
306:Fatou theorem
302:
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148:Paul Painlevé
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65:9 August 1929
64:
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55:
42:
38:
34:
29:
22:
19:
1193:
1185:Pierre Fatou
1165:
1135:
1111:
1102:
1098:
1057:
1025:(1): 69–95.
1022:
1018:
1012:
1003:
997:
981:
968:
962:
949:
943:
931:
919:. Retrieved
915:the original
905:
893:
881:. Retrieved
877:
775:
771:
748:
744:
731:
727:
708:
704:
683:
679:
652:
648:
618:
614:
584:
580:
549:
545:
512:perturbation
501:
496:
492:
482:
463:John Hubbard
451:Gaston Julia
429:(Fatou
424:
410:
406:
330:
326:bounded type
321:
303:
274:
272:
265:
257:
247:
242:
231:
216:
211:
203:
197:
193:
190:Pierre Fatou
159:
158:
132:Institutions
117:
67:(1929-08-09)
25:Pierre Fatou
18:
1212:1929 deaths
1207:1878 births
1095:Chazy, Jean
711:: 191–202.
686:: 862–865.
655:: 208–314.
587:: 161–271.
552:: 335–400.
528:Fatou 1923b
238:Paul Montel
172:Fatou lemma
127:Mathematics
98:Fatou lemma
1201:Categories
1105:: 389–384.
1050:References
971:. Berlin:
936:Audin 2009
921:24 January
898:Audin 2009
883:8 November
794:54.0834.01
778:: 98–139.
692:48.0391.03
671:47.0921.02
637:47.0921.02
603:47.0921.02
568:37.0283.01
516:Fatou 1928
489:Fatou 1922
474:Fatou 1926
318:Fatou 1906
279:Fatou 1906
164:astronomer
46:1878-02-28
1006:: 47–245.
825:(same as
818:Fatou set
621:: 33–94.
447:Fatou set
443:Julia set
229:in 1927.
219:Becquerel
206:) in the
204:stagiaire
182:Biography
176:Fatou set
103:Fatou set
73:Pornichet
989:(1918).
802:See also
734:: 19–40.
287:analysis
268:analysis
251:—
174:and the
168:analysis
75:, France
56:, France
1187:at the
1027:Bibcode
295:measure
54:Lorient
1174:
1155:zbMATH
1072:
792:
690:
669:
635:
601:
566:
170:. The
124:Fields
1087:(PDF)
994:(PDF)
849:Notes
508:Gauss
439:1920b
335:of a
1172:ISBN
1070:ISBN
923:2012
885:2017
522:and
435:1920
431:1919
304:The
236:and
62:Died
40:Born
1062:doi
1035:doi
790:JFM
780:doi
753:doi
713:doi
688:JFM
684:175
667:JFM
657:doi
633:JFM
623:doi
599:JFM
589:doi
564:JFM
554:doi
499:.)
497:n=1
409:+1+
1203::
1164:.
1140:,
1134:,
1130:,
1101:.
1068:.
1033:.
1021:.
996:.
952:.
876:.
857:^
788:.
776:56
774:.
770:.
749:47
747:.
743:.
732:47
730:.
709:51
707:.
703:.
682:.
665:.
653:48
651:.
647:.
641:;
631:.
619:48
617:.
613:.
607:;
597:.
585:47
583:.
579:.
562:.
550:30
548:.
544:.
530:)
461:,
457:,
437:,
433:,
328:.
240:.
1180:.
1157:.
1103:8
1078:.
1064::
1041:.
1037::
1029::
1023:2
1004:1
975:.
956:.
925:.
887:.
829:)
796:.
782::
761:.
755::
721:.
715::
694:.
673:.
659::
639:.
625::
605:.
591::
570:.
556::
493:n
487:(
472:(
411:e
407:z
385:)
380:2
376:z
372:+
369:z
366:(
360:2
357:1
277:(
48:)
44:(
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
