429:
413:
354:
198:
254:
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
205:
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.
44:
537:
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.(
406:
1009:
1237:
1227:
1232:
1147:
237:
1186:
1084:
921:
452:). 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
1177:
843:
464:
and Samuel Lattes in 1918. Holomorphic dynamics has experienced a strong revival since 1982 because of the new discoveries of
300:, mainly to the study of analytic and harmonic functions in the unit disc. In this work, Fatou studied for the first time the
259:
Having never thought it useful during his life to consult a doctor, my dear uncle died suddenly in a hotel room in
Pornichet.
210:
95:
1199:
269:
Fatou's funeral was held on 14 August in the church of Saint-Louis, and he was buried in the Carnel
Cemetery in Lorient.
848:
495:
118:
833:
336:
244:
1152:
360:
477:
331:). This theorem was at the origin of a large body of research in 20th-century mathematics under the name of
428:
343:
305:
297:
278:
178:
1222:
1217:
1037:
853:
518:
437:
1138:
522:
514:
412:
925:
884:
534:
473:
1158:
823:
1142:
1182:
1123:
Early days in complex dynamics: a history of complex dynamics in one variable during 1906-1942
1080:
530:
324:
320:
293:
218:
146:
213:
in Paris in 1898 to study mathematics and graduated in 1901 when he was appointed an intern (
1072:
1045:
837:
818:
800:
790:
763:
723:
698:
677:
667:
643:
633:
609:
599:
574:
564:
506:, which are biholomorphically equivalent to the whole space. (Such regions cannot exist for
494:
As a byproduct of his studies in holomorphic dynamics, Fatou discovered what are now called
301:
233:
158:
153:
1001:
983:
804:
702:
681:
647:
613:
578:
480:
465:
243:
He was in friendly relations with several contemporary French mathematicians, especially,
229:
460:). Some of the basic results of holomorphic dynamics were also independently obtained by
17:
1041:
1094:
964:
309:
1172:
1211:
1049:
469:
347:
316:
997:
488:
461:
255:
died as a result of a stomach ulcer that burst. Fatou's nephew Robert Fatou wrote:
1069:
Fatou, Julia, Montel, le Grand prix des sciences mathématiques de 1918, et après..
248:
182:
108:
1105:
1076:
737:
Fatou, P. (1923b). "Sur le mouvement d'une planète dans un milieu résistant".
174:
1195:
1165:
828:
457:
453:
408:
investigated by Fatou in 1906. This picture is made with a modern computer.
186:
113:
83:
353:
197:
436:
In 1917–1920 Fatou created the area of mathematics which is called
1028:
Mitropolsky, Iu. A. (1967). "Averaging method in non-linear mechanics".
221:. Fatou was promoted to assistant astronomer in 1904 and to astronomer (
795:
778:
768:
751:
728:
711:
672:
655:
638:
621:
569:
552:
64:
604:
587:
1121:
689:
Fatou, P. (1922). "Sur les fonctions méromorphes de deux variables".
779:"Sur le mouvement d'un système soumis à des forces à courte période"
712:"Sur les fonctions holomorphes et bornées à l'intérieur d'un cercle"
691:
Comptes Rendus
Hebdomadaires des Séances de l'Académie des Sciences
427:
411:
352:
196:
173:(28 February 1878 – 9 August 1929) was a French mathematician and
43:
517:. He was the first to prove rigorously a theorem (conjectured by
502:). These are proper subregions of the complex space of dimension
1126:, History of Mathematics 38, American Mathematical Society 2012
476:
and others. In 1926, Fatou pioneered the study of dynamics of
177:. He is known for major contributions to several branches of
277:
Fatou's work had very large influence on the development of
1095:"Notice sur les travaux scientifique de Pierre Fatou (pdf)"
225:) in 1928. He worked in this observatory until his death.
924:(in French). French mathematical society. Archived from
308:
on the unit circle. This work of Fatou is influenced by
1161:
by Michèle Audin, on the site Images des Mathématiques.
752:"Sur l'itération des fonctions transcendantes entières"
335:. See also the Knowledge (XXG) article on functions of
456:. (The complement of this set is sometimes called the
365:
1120:
Daniel
Alexander, Felice Iavernaro, Alessandro Rosa:
432:
Julia set of a sine function studied by Fatou in 1926
363:
1002:"Mémoire sur l'itération des fonctions rationnelles"
152:
142:
134:
101:
91:
72:
50:
34:
400:
1181:. New York: Charles Scribner's Sons. 1970–1980.
257:
525:produced by a periodic force of short period (
783:Bulletin de la Société Mathématique de France
716:Bulletin de la Société Mathématique de France
660:Bulletin de la Société Mathématique de France
626:Bulletin de la Société Mathématique de France
592:Bulletin de la Société Mathématique de France
553:"Séries trigonométriques et séries de Taylor"
8:
1010:Journal de Mathématiques Pures et Appliquées
286:Séries trigonométriques et séries de Taylor
327:on the unit circle was published in 1906 (
42:
31:
794:
767:
727:
671:
637:
603:
568:
389:
364:
362:
1164:List of publications of Pierre Fatou on
1159:Pierre Fatou, mathématicien et astronome
401:{\displaystyle {\tfrac {1}{2}}(z+z^{2})}
1148:MacTutor History of Mathematics Archive
865:
656:"Sur les Ă©quations fonctionnelles, III"
342:A number of fundamental results on the
622:"Sur les Ă©quations fonctionnelles, II"
538:
449:
232:prize in 1918; he was a knight of the
946:
908:
588:"Sur les Ă©quations fonctionnelles, I"
526:
499:
484:
445:
441:
328:
289:
7:
879:
877:
875:
873:
871:
869:
236:(1923). He was the president of the
739:Bulletin des Sciences Mathématiques
323:in the unit disc has radial limits
312:who invented his integral in 1901.
292:) was the first application of the
1228:20th-century French mathematicians
1178:Dictionary of Scientific Biography
844:Classification of Fatou components
25:
889:www-history.mcs.st-andrews.ac.uk
27:French mathematician (1878–1929)
1238:École Normale Supérieure alumni
1233:20th-century French astronomers
529:). This work was continued by
424:investigated by Fatou in 1926.
395:
376:
1:
1200:Mathematics Genealogy Project
849:Fatou–Bieberbach domain
1050:10.1016/0020-7462(67)90020-0
513:Fatou did important work in
319:, which says that a bounded
978:Bieberbach, Ludwig (1955).
264:Pierre Joseph Louis Fatou,
238:French mathematical society
1254:
961:Bounded analytic functions
333:bounded analytic functions
273:Mathematical work of Fatou
1077:10.1007/978-3-642-00446-9
959:Garnett, John B. (1981).
171:Pierre Joseph Louis Fatou
164:
127:
41:
18:Pierre Joseph Louis Fatou
1153:University of St Andrews
1108:(1933). "Pierre Fatou".
1071:. Heidelberg: Springer.
521:) on the averaging of a
496:Fatou–Bieberbach domains
296:to concrete problems of
211:École Normale Supérieure
96:École Normale Supérieure
1067:Audin, Michèle (2009).
980:Analytische Fortsetzung
119:Fatou–Bieberbach domain
1030:Intl. J. Non-Lin. Mech
834:Fatou–Lebesgue theorem
489:intensively developing
487:), a subject which is
433:
425:
409:
402:
267:
228:Fatou was awarded the
202:
1110:Bulletin Astronomique
545:Selected publications
431:
415:
403:
356:
344:analytic continuation
281:in the 20th century.
200:
189:are named after him.
1139:Robertson, Edmund F.
922:"Anciens Présidents"
854:Holomorphic dynamics
438:holomorphic dynamics
361:
245:Maurice René Fréchet
1137:O'Connor, John J.;
1042:1967IJNLM...2...69M
928:on 29 November 2014
654:Fatou, P. (1920b).
515:celestial mechanics
284:Fatou's PhD thesis
223:astronome titulaire
796:10.24033/bsmf.1131
777:Fatou, P. (1928).
769:10.1007/BF02559517
750:Fatou, P. (1926).
729:10.24033/bsmf.1033
710:Fatou, P. (1923).
673:10.24033/bsmf.1008
639:10.24033/bsmf.1003
620:Fatou, P. (1920).
586:Fatou, P. (1919).
570:10.1007/BF02418579
551:Fatou, P. (1906).
535:Nikolay Bogolyubov
434:
426:
410:
398:
374:
209:Fatou entered the
203:
1188:978-0-684-10114-9
1086:978-3-642-00445-2
885:"Fatou biography"
605:10.24033/bsmf.998
531:Leonid Mandelstam
373:
350:belong to Fatou.
325:almost everywhere
321:analytic function
294:Lebesgue integral
219:Paris Observatory
168:
167:
147:Paris Observatory
129:Scientific career
16:(Redirected from
1245:
1192:
1155:
1117:
1101:
1099:
1090:
1054:
1053:
1025:
1019:
1018:
1006:
994:
988:
987:
975:
969:
968:
956:
950:
944:
938:
937:
935:
933:
918:
912:
906:
900:
899:
897:
895:
881:
819:Fatou conjecture
808:
798:
773:
771:
756:Acta Mathematica
746:
733:
731:
706:
685:
675:
651:
641:
617:
607:
582:
572:
557:Acta Mathematica
481:entire functions
407:
405:
404:
399:
394:
393:
375:
366:
304:of an arbitrary
302:Poisson integral
265:
234:Legion of Honour
154:Doctoral advisor
79:
61:28 February 1878
60:
58:
46:
32:
21:
1253:
1252:
1248:
1247:
1246:
1244:
1243:
1242:
1208:
1207:
1205:
1189:
1171:
1136:
1133:
1104:
1097:
1093:
1087:
1066:
1063:
1058:
1057:
1027:
1026:
1022:
1004:
996:
995:
991:
984:Springer Verlag
977:
976:
972:
958:
957:
953:
945:
941:
931:
929:
920:
919:
915:
907:
903:
893:
891:
883:
882:
867:
862:
824:Fatou's theorem
815:
776:
749:
736:
709:
688:
653:
619:
585:
550:
547:
466:Dennis Sullivan
385:
359:
358:
275:
266:
263:
195:
123:
92:Alma mater
87:
81:
77:
68:
62:
56:
54:
37:
28:
23:
22:
15:
12:
11:
5:
1251:
1249:
1241:
1240:
1235:
1230:
1225:
1220:
1210:
1209:
1203:
1202:
1193:
1187:
1173:"Pierre Fatou"
1169:
1162:
1156:
1143:"Pierre Fatou"
1132:
1131:External links
1129:
1128:
1127:
1118:
1102:
1100:. Paris. 1929.
1091:
1085:
1062:
1059:
1056:
1055:
1020:
989:
970:
965:Academic Press
951:
949:, p. 132.
939:
913:
911:, p. 138.
901:
864:
863:
861:
858:
857:
856:
851:
846:
841:
831:
826:
821:
814:
811:
810:
809:
774:
762:(4): 337–370.
747:
734:
707:
686:
583:
546:
543:
491:at this time.
478:transcendental
397:
392:
388:
384:
381:
378:
372:
369:
310:Henri Lebesgue
274:
271:
261:
194:
191:
166:
165:
162:
161:
156:
150:
149:
144:
140:
139:
136:
132:
131:
125:
124:
122:
121:
116:
111:
105:
103:
102:Known for
99:
98:
93:
89:
88:
82:
80:(aged 51)
74:
70:
69:
63:
52:
48:
47:
39:
38:
35:
26:
24:
14:
13:
10:
9:
6:
4:
3:
2:
1250:
1239:
1236:
1234:
1231:
1229:
1226:
1224:
1221:
1219:
1216:
1215:
1213:
1206:
1201:
1197:
1194:
1190:
1184:
1180:
1179:
1174:
1170:
1167:
1163:
1160:
1157:
1154:
1150:
1149:
1144:
1140:
1135:
1134:
1130:
1125:
1124:
1119:
1115:
1111:
1107:
1103:
1096:
1092:
1088:
1082:
1078:
1074:
1070:
1065:
1064:
1060:
1051:
1047:
1043:
1039:
1035:
1031:
1024:
1021:
1016:
1013:(in French).
1012:
1011:
1003:
999:
998:Julia, Gaston
993:
990:
985:
981:
974:
971:
966:
962:
955:
952:
948:
943:
940:
927:
923:
917:
914:
910:
905:
902:
890:
886:
880:
878:
876:
874:
872:
870:
866:
859:
855:
852:
850:
847:
845:
842:
839:
838:Fatou's lemma
835:
832:
830:
827:
825:
822:
820:
817:
816:
812:
806:
802:
797:
792:
788:
784:
780:
775:
770:
765:
761:
757:
753:
748:
744:
740:
735:
730:
725:
721:
717:
713:
708:
704:
700:
696:
692:
687:
683:
679:
674:
669:
665:
661:
657:
649:
645:
640:
635:
631:
627:
623:
615:
611:
606:
601:
597:
593:
589:
584:
580:
576:
571:
566:
562:
558:
554:
549:
548:
544:
542:
540:
536:
532:
528:
524:
520:
516:
511:
509:
505:
501:
497:
492:
490:
486:
482:
479:
475:
471:
470:Adrien Douady
467:
463:
459:
455:
451:
447:
443:
439:
430:
423:
419:
416:Julia set of
414:
390:
386:
382:
379:
370:
367:
357:Julia set of
355:
351:
349:
348:Taylor series
345:
340:
338:
334:
330:
326:
322:
318:
317:Fatou theorem
313:
311:
307:
303:
299:
295:
291:
287:
282:
280:
272:
270:
260:
256:
252:
250:
246:
241:
239:
235:
231:
226:
224:
220:
216:
212:
207:
199:
192:
190:
188:
184:
180:
176:
172:
163:
160:
159:Paul Painlevé
157:
155:
151:
148:
145:
141:
137:
133:
130:
126:
120:
117:
115:
112:
110:
107:
106:
104:
100:
97:
94:
90:
85:
76:9 August 1929
75:
71:
66:
53:
49:
45:
40:
33:
30:
19:
1204:
1196:Pierre Fatou
1176:
1146:
1122:
1113:
1109:
1068:
1036:(1): 69–95.
1033:
1029:
1023:
1014:
1008:
992:
979:
973:
960:
954:
942:
930:. Retrieved
926:the original
916:
904:
892:. Retrieved
888:
786:
782:
759:
755:
742:
738:
719:
715:
694:
690:
663:
659:
629:
625:
595:
591:
560:
556:
523:perturbation
512:
507:
503:
493:
474:John Hubbard
462:Gaston Julia
440:(Fatou
435:
421:
417:
341:
337:bounded type
332:
314:
285:
283:
276:
268:
258:
253:
242:
227:
222:
214:
208:
204:
201:Pierre Fatou
170:
169:
143:Institutions
128:
78:(1929-08-09)
36:Pierre Fatou
29:
1223:1929 deaths
1218:1878 births
1106:Chazy, Jean
722:: 191–202.
697:: 862–865.
666:: 208–314.
598:: 161–271.
563:: 335–400.
539:Fatou 1923b
249:Paul Montel
183:Fatou lemma
138:Mathematics
109:Fatou lemma
1212:Categories
1116:: 389–384.
1061:References
982:. Berlin:
947:Audin 2009
932:24 January
909:Audin 2009
894:8 November
805:54.0834.01
789:: 98–139.
703:48.0391.03
682:47.0921.02
648:47.0921.02
614:47.0921.02
579:37.0283.01
527:Fatou 1928
500:Fatou 1922
485:Fatou 1926
329:Fatou 1906
290:Fatou 1906
175:astronomer
57:1878-02-28
1017:: 47–245.
836:(same as
829:Fatou set
632:: 33–94.
458:Fatou set
454:Julia set
240:in 1927.
230:Becquerel
217:) in the
215:stagiaire
193:Biography
187:Fatou set
114:Fatou set
84:Pornichet
1000:(1918).
813:See also
745:: 19–40.
298:analysis
279:analysis
262:—
185:and the
179:analysis
86:, France
67:, France
1198:at the
1038:Bibcode
306:measure
65:Lorient
1185:
1166:zbMATH
1083:
803:
701:
680:
646:
612:
577:
181:. The
135:Fields
1098:(PDF)
1005:(PDF)
860:Notes
519:Gauss
450:1920b
346:of a
1183:ISBN
1081:ISBN
934:2012
896:2017
533:and
446:1920
442:1919
315:The
247:and
73:Died
51:Born
1073:doi
1046:doi
801:JFM
791:doi
764:doi
724:doi
699:JFM
695:175
678:JFM
668:doi
644:JFM
634:doi
610:JFM
600:doi
575:JFM
565:doi
510:.)
508:n=1
420:+1+
1214::
1175:.
1151:,
1145:,
1141:,
1112:.
1079:.
1044:.
1032:.
1007:.
963:.
887:.
868:^
799:.
787:56
785:.
781:.
760:47
758:.
754:.
743:47
741:.
720:51
718:.
714:.
693:.
676:.
664:48
662:.
658:.
652:;
642:.
630:48
628:.
624:.
618:;
608:.
596:47
594:.
590:.
573:.
561:30
559:.
555:.
541:)
472:,
468:,
448:,
444:,
339:.
251:.
1191:.
1168:.
1114:8
1089:.
1075::
1052:.
1048::
1040::
1034:2
1015:1
986:.
967:.
936:.
898:.
840:)
807:.
793::
772:.
766::
732:.
726::
705:.
684:.
670::
650:.
636::
616:.
602::
581:.
567::
504:n
498:(
483:(
422:e
418:z
396:)
391:2
387:z
383:+
380:z
377:(
371:2
368:1
288:(
59:)
55:(
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
