Analysis. 



156 



4880 



Maillet, E. Sur les fonctions hyper- 

 transcendantes. Pari?, C.-R. Acad, 

 sci., 142, 1906, (829-830). 



5210 LINEAR DIFFEREKTIAL 

 FORMS; PFAFFIANS. 



Muir, Thomas. A PfaflSan identity, 

 and related vanishing aggregates of 

 determinant minors. Edinlmrah, 



Trans. R Soc, 45, 1906, (311-321). ^ 



Saltykov, N. N. L'application de 

 la theorie des groupes des transforma- 

 tions infinitesimales a Tintegration 

 des equations differentielles par des 

 quadratures. (Russ.) Kiev, Otc. prot. 

 fiz.-mat. Obsc., 1904, [1905], (49-62). 



Vivanti, G. Leg-ons elementaires sur 

 la theorie des groupes de transforma- 

 tions, professees a I'Universite de 

 Messine, traduites par A. Boulenger. 

 Paris (Gauthier-Villars), 1904, {VII -f 

 293). 25 cm. 



DIFFERENTIAL FORMS AND 

 DIFFERENTIAL INVARIANTS. 



5220 DIFFERENTIAL FORMS 

 OF THE SECOND AND HIGHER 

 ORDERS. 



Pascal, E. Le forme differenziali 

 ad una sola variabile e a coefficienti co- 

 stanti in relazione colla formola per 

 il differenziale ?""' dell'esponenziale. 

 Milano, Rend. 1st. Lomb., (Ser. 2), 

 37, 1904, (248-253). 



5230 TRANSFORJIATION OF 

 DIFFERENTIAL FORMS, IN- 

 CLUDING TANGENTIAL (OR 

 CONTACT) TRANSFORMA- 



TIONS. 



Clairin, J. Sur une transformation 

 de certaines equations lineaires aux 

 derivees partielles du second ordre. 

 Paris, C.-R. Acad, sci., 141, 1905, (1217- 

 1219). 



— Siu- les transformations 



5240 



DIFFERENTIAL 

 INVARIANTS. 



des systemes d'equations aux derivees 

 partielles du second ordre. Paris, 

 C.-R. Acad, sci., 142. 1906, (867-869). 



Koebe, Paul. Herleitung der par- 

 tiellen DifEerentialgleichung der Pot en - 

 tialfimktion aus deren Integraleigen- 

 schaft. Berlin, SitzBer. math. Ges., 



5, 1906, (39-42). 



Loria, Gino. Sopra una transfor- 

 mazione di contatto ideata da Fer- 

 mat. Bibl. math., Leipzig, (3. Folge), 



6, 1906, (343-346). 



Per la preistoria della 



teoria delle trasformazioni di contatto. 

 Bibl. math., Leipzig, (3. Folge), 7, 

 1906, (67-68). 



Pick, Georg. Natiirliche Geometrie 

 ebener Transformationsgruppen. Wien, 

 SitzBer. Ak. Wiss., 115, 1906, Abt. 

 Ila, (139-159). 



SchifE, Petr Aleksandrovic. Invar- 

 riants et coefficients integraux. (Russ.) 

 Matem. Shorn., Moskva, 25, 1905, 

 (438-465). 



Vessiot, F. Sur les courbes minima. 

 Paris, C.-R. Acad, sci., 140, 1905, 

 (1381-1384). 



Vivanti, G. Lecons elementaires 

 sur la theorie des groupes de trans- 

 formations, professees a IT'niversite 

 de Messine, traduites par A. Boulenger. 

 Paris (Gauthier-Villars), 1904, [Yll -f 

 293). 25 cm. 



Wallenberg, Georg. Ueber Be- 

 ziehungen zwischen den Integralen 

 einer homogenen linearen Differential- 

 gleichung zweiter Ordnung und ihren 

 ersten Ableitungen. Aixh. Math., 



Leipzig (3. Reihe), 10, 1906, (151- 

 164). 



Analytical Methods connected 

 with Physical Problems. 



5600 



GENERAL. 



Brouwer, L[uitsen] E[gbertus] J[an]. 

 Polydimensional Vector-distributions. 

 [First and second derivatives of a given 

 distribution of p-dimensional systems 

 of vectors. The total derivative as an 

 extension of the operation V to poly- 

 dimensional space. How Vector- 

 distributions imder certain boimdary 

 conditions are determined by their 



