SlJR LA FONCTION ELL1PTIQUE FONDAMENTALE S = p(ll ; g 2 , # g ). 



Liste des valeurs des coefficients c 





Valeurs de C 



log c 



\ 



°2 



0.025 



0.3979 400 — 2 



C 3 



0.0178 5714 



0.2518 120 — 2 



C A 



0.0026 0417 



0.4156 688 — 3 





0.0042 6136 



0.6295 486 — 3 



Hi 



0.0003 7560 



0.5747 267 — 4 



<-\2 



0.001S 0288 



0.2559 680 — 3 



Ci 



0.0009 7656 



0.9897 000 — 4 



C 8,l 



0.0000 6283 



0.7981 692 — 5 



C 8,2 



0.0008 6167 



0.9353 424 — 4 



<?9,I 



0.0002 2487 



0.3519 245 — 4 



<?9,2 



0.0002 5699 



0.4099 164 — 4 



Applications numeriques: 



Calculer la valeur de V integrate *) 



= r dx = _ r VT < ds 



^ xi ~ 6 * 3 + 5x *+ Ux ~* « \/ 4g 3 229 3437 



* S 12 S + 216 



On a 



log y 2 = 1.2806 543 



l°g|# 3 



| = 1.2017 257 





= V"30 + ~ = 12.3938 92 



log 



s = 1.0932 0771 





log s _1 = 



0.9067 9229 — 



2 





log c 2 = 0.3979 400 — 2 

 log # 2 = 1.2806 543 

 log s~ 2 = 0.8135 846 — 3 



log c ? , 

 log s -3 



= 0.2518 120 - 

 | = 1.2017 257 

 = 0.7203 769 - 



-2 

 -4 



0.4921 789 — 3 





0.1739 146- 



-4 



logc 4 = 0.4156 688 — 3 

 logfft = 2.5613 086 

 logs" 4 = 0.6271 692 — 5 

 0.6041 466 — 5 



log c 5 

 log ^2 

 log 1 <7s 

 log s" 5 



= 0.6295 486 - 

 = 1.2806 543 

 = 1.2017 257 

 = 0.5349 615 — 



3 

 6 







0.6468 901 — 



6 



) Voir: De la convergence . . p. 41. 



