316 ON THE RECENT PROGRESS OF ANALYSIS. 



contains a theorem proved by M. Ram us 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 1'Ecole 

 Polytechnique.' Y. R. p. 249 and p. 294. 



Memoire sur une certaine classe de Fonctions Transcendantes. 



Presented to the Institute, Oct. 30, 1826, published in 1841 in 

 the 'Memoires des Savans Etrangers,' vn. 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. R. p. 246. 



Solution d'un Probleme General concernant la Transformation 



des Fonctions Elliptiques. Schumacher's Astronomische Nach- 

 richten, No. 138, vi. 365. Y. Abel's works, I. 253; also R. 

 p. 282. 



Addition au Me'moire Precedent. Schumacher's Astrono- 

 mische Nach., No. 147, vn. 33. Y. Abel's works, i. 275; also 

 R. ubi supra. 



The following papers were published for the first time in Abel's 

 collected works. The references are to the second volume : 



Proprie"tes remarquables de la Fonction / = <#, etc., p. 51. 



The multiple periodicity of a function inverse to a hyper-elliptic 

 integral is here mentioned. Y. R. p. 305. 



Sur une Propriete" remarquable d'une Classe tres etendue de 



Fonctions Transcendantes, p. 54. This paper contains a gene- 

 ralisation of a theorem relating to elliptic functions. 



Extension de la The*orie Precedente, p. 58. 



Sur la Comparaison des Fonctions Transcendantes, p. 66. 



This paper contains a somewhat fuller development of his general 

 theory than that which is inserted in the fourth volume of 

 Oelle's Journal, p. 200. Y. R. p. 247. 



Theorie des Transcendantes Elliptiques, p. 93. Y. R. p. 287. 



Demonstration de quelques Formules Elliptiques, p. 210. 



BROCH. Sur quelques Proprie*tes d'une certaine classe des Fonctions 



Transcendantes. C. xx. 178. An extension of Abel's theorem. 

 Y. R. p. 248. 



Me"moire sur les Fonctions de la forme 



(X>-VP-IF(X*) (R(x*})*kdx, etc. C. xxm. 145 and 201. 



This memoir, of which the first part may be considered a gene- 

 ralisation of the preceding, is accompanied by a report of MM. 

 Liouville and Cauchy. Y. R. p. 248. 



