integrable, class, new. Halphen, G. H. C. B. 

 101 (1885) 1238-. 



by elliptic functions, class. Brioschi, F. 

 Rm. B. Ac. Line. T. 4 (1880) 241-. 



---- , , generation. Brioschi, F. A. 



Mt. 10 (1880-82) 74-. 

 -- hyperbolic sine. Imseneckij, V. G. [1891] 



Bee. Mth. (Moscou) 16 (1893) 177- ; Fschr. 



Mth. (1891) 311-. 

 -- special functions. Schou, E. S. Kjab. 



Ov. (1897) 433-. 



systems. Mayer, A. Mth. A. 5 (1872) 448-. 

 integrals having fixed branch-points. Fuchs, L. 



Berl. Ak. Sb. (1884) 699-. 



one singularity at finite distance. 

 Giinther, P. Crelle J. Mth. 105 (1889) 1-; 

 119 (1898) 330-. 



regular at a singularity. Bendixson, I. 

 Stockh. Ofv. (1892) 279-. 



satisfying relations of form 



4850 Theory of Ordinary Linear Differential Equations 4850 



exact, symbolic treatment. Johnson, W. W. 



Am. J. Mth. 10 (1888) 94-. 

 of form (mx 2 + nx +p) y" + (qx + r) y' + sy = 0. 



Spitzer, S. Schlomilch Z. 4 (1859) 250-. 

 *() =x m (Axz' + Bz). Spitzer, S. Grunert 



Arch. 38 (1862) 458-. 

 xyW - myP-U = ay . Spitzer, S. Grunert 



Arch. 40 (1863) 232-. 

 (a, + b*x) y" + (a, + b t x) y' + (a + b x) y = 0. 



Spitzer, S. Arch. Mth. Ps. 58 (1876) 



361-. 

 and group-theory. Marotte, F. Toul. Fac. 



Sc. A. 12 (1898) H, 92 pp. 

 homogeneous. Catalan, E. C. Brux. Ac. Bll. 



43 (1877) 335-. 

 . Stenberg, E. A. Stockh. Ofv. (1884) 



No. 5, 143-. 



. Lie, S. Leip. Mth. Ps. B. 43 (1891) 253-. 

 . Bendixson, I. [1892] Stockh. Ofv. (1892) 



91-; Stockh. Ak. Hndl. Bh. 18 (Afd. 1) 



(1893) No. 1, 29 pp. 

 . Gutzmer, A. Crelle J. Mth. 115 (1895) 



79-. 



, with algebraic relations between funda- 

 mental integrals. Wirtinger, W. Wien Ak. 



Sb. 98 (1890) (Ab. 2a) 66-. 

 , . Wallenberg, G. Crelle 



J. Mth. Ill (1893) 89-. 

 , . Fano, G. Mth. A. 53 



(1900) 493-. 

 , class, special. Guldberg, A. Christiania 



F. (1894) No. 9, 12 pp. ; Fschr. Mth. (1893- 



94) 545-. 

 , with coefficients doubly periodic. Stenberg, 



E. A. Helsingf. Acta 16 (1888) 493-, 555-; 



19 (1893) No. 11, 7 pp. 

 , common particular integrals, conditions 



for. Griinfeld, E. Z. Mth. Ps. 30 (1885) 



210-. 

 , general integral of which is uniform. 



Floquet, G. C. B. 121 (1895) 676-. 

 , group-theory. Beke, E. Mth. A. 49 (1897) 



573-. 

 , with homogeneous relations between 



integrals. Fuchs, L. Acta Mth. 1 (1882) 



321-. 

 , properties. Stenberg, E. A. Acta Mth. 8 



(1886) 119-. 

 , regularity of system. Sauvage, L. Mars. 



Fac. Sc. A. 4 (1895) Fasc. 3, 14 pp. 

 , relations of two, to each other. Thome, . 



D. Nf. Tbl. (*1873) 50-. 

 , resolvents. Beke, M. Mth. Termt. Ets. 



16 (1898) 407-. 

 , special. Hurwitz, A. Mth. A. 26 (1886) 



, symmetric functions in. Beke, E. Mth. 



A. 45 (1894) 295-. 

 , with symmetric integral determinant. 



Hazzidakis, J. N. Crelle J. Mth. Ill (1893) 



315-. 

 , systems, property. Hazzidakis, J. N. [1880] 



Crelle J. Mth. 90 (1881) 80-. 



, M+N^=0, proof that (Mx + Ny)~i is an 



integrating factor. Stokes, G. G. Camb. 

 Mth. J. 4 (1845) 241-. 



Appell, P. C. B. 93 (1881) 699-. 

 irreducible, property. Ratner, E. Mth. A. 



32 (1888) 566-. 

 Laplace's method. Goursat, E. Am. J. Mth. 



18 (1896) 347-. 

 .linearoid. Wilczynski, E. J. Am. J. Mth. 21 



(1899) 354-. 

 non-homogeneous. Thome, L. W. Crelle J. 



Mth. 107 (1891) 51-. 



, class. Floquet, G. Par. EC. Norm. A. 

 4 (1887) 111-. 



, and their functional operations. Pincherle, 

 S. Bologna Bd. (1895-96) 77-. 



any order, with fixed critical points. Painleve, 



P. G. B. 130 (1900) 1112-. 

 -- 2 variables. Libri , G. C. B. 8 (1839) 



732-. 

 -- , --- (Libri). Liouville, J. C. B. 8 



(1839) 792-. 

 1st order and degree, with 2 variables, singular 



points. Fouret, G. Par. S. Mth. Bll. 19 



(1891) 128-. 



, fundamental invariants of system. 

 Griinfeld, E. Z. Mth. Ps. 39 (1894) 237-. 



, general integral of which is function 

 with finite number of branches. Cohen, A. 

 Toul. Fac. Sc. A. 1 (1899) 239-, 469-. 



, reduction of solution to continued 

 fraction, case. Laguerre, (le capit.) E. C. 

 B. 98 (1884) 209-. 



2nd order. 



Sturm, J. C. F. Liouv. J. Mth. 1 (1836) 106-. 

 Svanberg, A. F. Stockh. Ak. Hndl. (1837) 



207-. 

 Cockle, Jas. Mess. Mth. 1 (1862) 118-, 164-, 



241-. 



Heine, E. Berl. Mb. (1864) 13-. 

 Gegenbauer, L. Arch. Mth. Ps. 55 (1873) 252-. 

 Moutard, T. C. B. 80 (1875) 729-. 

 Pepin, T. C. B. 82 (1876) 1323-. 

 Tait, P. G. [1876] Edinb. B. S. P. 9 (1878) 



93-. 



Pepin, T. A. Mt. 9 (1878-79) 1-. 

 Brioschi, F. As. Fr. C. B. 8 (1879) 278-. 



378 



