84 REPORT—1846. 
The following index is intended to contain references to all the papers in 
the first thirty-one volumes of Crelle’s Journal, and in the first ten volumes 
of Liouville’s Journal, more or less connected with the subject of this report, 
together with a considerable number of others. 
In the following Index Crelle’s Journal is denoted by C., Liouville's by L., 
and the present Report by R. 
pdx 
VR 
ganze Functionen sind. —C.i. 185. This paper contains formulz of re- 
duction. It is mentioned by M. Liouville, ‘Journal de I’Ecole Polytech- 
nique, 23d cah. p.38. It appears in French in Abel’s collected works, 
tom. i. 33. 
——. Recherches sur les Fonctions Elliptiques.—C. ii. 101, and iii. 160 
[1827]. . Abel’s works, i. 141; also R. p. 57. 
——. Remarques sur quelques Propriétés Générales d’une certaine sorte 
de Fonctions Transcendantes.—C. iii. 313. This paper contains the 
theorem commonly known as ‘ Abel’s Theorem.’ V. Abel’s works, 
i. 288; also R. p. 40. 
——. Sur le Nombre de Transformations Différentes qu’on peut faire subir 
4 une Fonction Elliptique par la Substitution d’une Fonction donnée 
du premier dessé.—C. iii. 394. V. Abel’s works, i. 309. 
——. Théoréme Général sur la Transformation des Fonctions Elliptiques 
de la seconde et de la troisiéme espéce.—C. iii. 402. The theorem is 
stated without demonstration. V. Abel’s works, i. 317. 
Note sur quelques Formules Elliptiques.—C. iv. 85. This paper con- 
tains developments of elliptic functions, &e. V. Abel’s works, i. 299. 
——. Théorémes sur les Fonetions Elliptiques.—C. iv. 194. They relate 
to the demonstration of the theorem stated by M. Jacobi in the third 
volume of Crelle’s Journal, p. 86, by means of which Abel’s method 
for the division of elliptic integrals is greatly simplified. V. Abel's 
works, i. 318; also R. p. 59. 
——. Démonstration d’une Propriété Générale d’une certaine Classe de 
Fonctions Transcendantes.—C. iv. 200. This short paper contains the 
fundamental idea of the memoir presented to the Institute in 1826. 
V. Abel’s works, i. 324; also R. p. 40. 
——. Précis d’une Théorie des Fonctions Elliptiques.—C. iv. 236 and 309. 
This précis was left unfinished. V. Abel’s works, i. 326; also R. p. 65. 
——. Extracts from Letters to M. Crelle, one of which relates to the com- 
parison of Transcendents.-—C. v. 336. V. Abel’s works, ii. 253. 
——. A Letter to M. Legendre.—C. vi. 73. Works, ii. 256. It contains a 
theorem proved by M. Ramus in the twenty-fourth volume of Crelle’s 
Journal, p. 78 ; and another, proved by M. Liouville in the twenty-third 
cahier of the ‘Journal de l’Ecole Polytechnique. V. R.p.41 and p.’70. 
——. Mémoire sur une certaine classe de Fonctions Transcendantes. Pre- 
sented to the Institute, Oct. 30, 1826, published in 1841 in the ‘ Mémoires 
des Savans Etrangers,’ vii. 176. It is the only memoir of Abel’s not 
contained in the collected edition of his works published in 1839; the 
editor, M. Holmboe, not having been able to procure a copy of it. 
V.pR..ps39- 
——. Solution d’un Probléme Général concernant la Transformation des 
Fonctions Elliptiques.—Schumacher’s Astronomische Nachrichten, No. 
138, vi. 365. V. Abel’s works, i. 253; also R. p. 62. 
AsrL. Ueber die Integration der differential Formel wenn R and p 
