5210 



Linear Differential Forms; Pfaffians 



5210 



Pfaffian equations, systems. Weber, E. von. 



Munch. Ak. Sb. 25 (1896) 423-. 

 , . Brill, J. QJ. Mth. 30 (1899) 



221-. 

 , . Kowalewski, G. Leip. Mth. Ps. 



B. 51 (1899) (Mth.) 265-. 



, , invariant theory. Engel, F. Leip. 



Mth. Ps. B. 41 (1889) 157- ; 42 (1890) 192-. 

 , , . Weber, E. von. Leip. Mth. 



Ps. B. 50 (1898) (31th.) 207-. 



expressions and equations. Lie, S. Leip. 

 Mth. Ps. B. 48 (1896) 405-. 



, multilinear differential covariants. Brill, 



J. L. Mth. S. P. 30 (1899) 263-. 



having a vacant minor, development. Muir, 

 T. [1900] Edinb. R. S. T. 40 (1905) 49-. 



system, reducibility to given number of 

 terms. Weber, E. von. [1900] Munch. Ak. 

 Sb. 30 (1901) 273-, 434. 



systems and line geometry. Weber, E. von. 

 Leip. Mth. Ps. B. 52 (1900) 179-. 



theorem, extension. Hamburger, M. Crelle 

 J. Mth. 110 (1892) 158-. 



Pfaffians, functions allied to. Tanner, H. W. 



L. Q.I. Mth. 16 (1879) 34-. 

 , property. Baker, H. F. L. Mth. S. P. 29 



(1898) 141-. 

 , theorem. Tanner, H. W. L. [1878] Mess. 



Mth. 8 (1879) 56-. 

 , . Zajaczkoicski, W. (xn) Krk. Ak. (Mt.- 



Prz.)Ez.&Sp. 7(1880)67-; (xi) Mess. Mth. 



10 (1881) 36-. 

 Pfaff s integration method for equation in In 



variables. Jacobi, C. G. J. Crelle J. 2 



(1827) 347-. 

 . Binet, J. P. M. 



C. E. 14 (1842) 1049- ; 15 (1842) 74-. 

 -, proof of theorem relative to. Zajacz- 



kowski, L. Arch. Mth. Ps. 47 (1867) 

 106-. 



problem. Frobenius, G. [1876] Crelle J. 

 Mth. 82 (1877) 230-. 



. Hamburger, M. [1876] Arch. Mth. Ps. 



60 (1877) 185-. 

 . Darboux,G. Bll. Sc. Mth. As. 6 (1882) 



14_, 49_ ; c. R. 94 (1882) 835-. 

 . Morera, G. [1883] Tor. Ac. Sc. At. 18 



(1882) 521-. 

 . Stodotkiewicz, A. J. [1892] Prace Mt.- 



Fiz. 4 (1893) 56-; C. E. 115 (1892) 592-; 



119 (1894) 489-. 

 . Engel, F. Leip. Mth. Ps. B. 48 (1896) 



413-. 

 . Zantschewsky, J. Par. EC. Norm. A. 



13 (1896) 267-. 

 , generalisation. Tanner, H. W. L. L. 



Mth. S. P. 11 (1879-80) 131-. 

 , integration method. Lie, S. Christiania 



F. 15 (1873) 321-. 

 , Pfaff 's solution. Mayer, A. C. G. Mth. 



A. 17 (1880) 523-. 

 , theorem of Jacobi. Cayley, A. Crelle 



J. 57 (1860) 273-. 

 , theory. Lie, M. S. Arch. Mth. Ntvd. 



2 (1877) 338-. 



transformation. Rusjan, C. Prace Mt.-Fiz. 

 8 (1897) 61-; 9 (1898) 61-; Fschr. Mth. 

 (1897) 300- ; (1898) 303. 



Solutions, singular, of total differential equa- 



tions. Guldberg,A. Christiania Skr. (Mth.- 



Nt. Kl.) (1899) No. 4, 26 pp. 

 Theorems. Le Pont, H. G. Teix. J. Sc. 8 



(1887) 37-, 65-, 175-. 

 Theory of system of equations. Stodolkievitz , 



A. J. C. E. 120 (1895) 825-. 

 Total differential (ternary) equations. Cockle, 



(Sir) Jas. [1876] Manch. Lt. Ph. S. P. 16 



(1877) 66-. 

 __ ( ) . Rawson, R. Manch. Lt. Ph. S. 



P. 16 (1877) 114-. 

 -- ( ) . Cockle, (Sir) Jas. Manch. Lt. 



Ph. S. P. 20 (1881) 119-. 

 -- equations. Guldberg, A. Fschr. Mth. 



(1900) 368. 

 --- , application of 2-periodic functions 



to. Gronwall, H. Stockh. Ofv. (1896) 295-; 



Fschr. Mth. (1896) 285-. 

 --- denning arithmetico-geometric mean 



of 4 elements. Borchardt, C. W. Par. S. 



Mth. Bll. 7 (1879) 124-. 



, reduction from 3 to 2 variables. 

 Minich, S. R. [1879] Em. S. It. Mm. 4 

 (1882) No. 1, 47 pp. 



--- , singularities. Gronwall, H. Stockh. 



Ak. Hndl. Bh. 24 (Afd. 1) (1899) No. 9, 



22pp. 

 --- , system. Stodoikieicicz , A. J. Krk. 



Ak. (Mt.-Prz.) Ez. 2 (1892) 299-; Crc. Ac. 



Sc. Bll. (1891) 283. 



, , integration. Bendixson, I. 

 Stockh. Ofv. (1892) 271-. 



--- , systems. Gronwall, H. Stockh. 



Ofv. (1895) 729-; Fschr. Mth. (1895) 399. 

 -- , . Hadamard, . Bordeaux S. 



Sc. PV. (1894-95) 17-. 

 --- unconditionally integrable. Guldberg, 



A. Mh. Mth. Ps. 7 (1896) 332-. 



-- in 3 or more variables, primitive 

 equation. Paoli, P. [1814] Mod. S. It. 

 Mm. 17 (1815) 104-. 



differentials of 1st kind. Noether, H. 

 Erlang. Ps. Md. S. Sb. 18 (1886) 11-. 



, integrals, quartic surfaces 

 admitting. Berry, A. Camb. Ph. S. T. 

 18 (1900) 333-. 



and partial differential equations. Natani, 

 L. [1860] Crelle J. 58 (1861) 301-. 



Transformation of linear differential expres- 

 sion. Tanner, H. W. L. QJ. Mth. 16 

 (1879) 45-. 



X-*dx+Y-$dy + Z-%dz = Q. MacMahm, P. 

 A. [1882] QJ. Mth. 19 (1883) 158-. 



X l dx 1 + X^dx^ + . . . + X n dx n = 0, integrability 

 conditions. Stodoikiewicz , A. J. Prace Mt.- 

 Fiz. 6 (1895) 20-; Fschr. Mth. (1895) 

 378. 



/zO, 2b i dx i = Q. Duport, . Liouv. J. 

 th. 3 (1897) 17-. 



a.- 

 Mt 



X, dx, + X,dx, . . . , canonical forms. Rmissiane, 

 C. Mth. A. 50 (1898) 247-. 



395 



