of (c. 2 x 2 + b z x + a 2) y" + (biX- 



application of Zmurko's improvement of 

 Laplace's method. Rajewski, J. Krk. Ak. 

 (Mt-Prz.) Pam. 9 (1884) 120- ; Fschr. Mth. 

 (1884) 287-. 



2 (a. + b^x) ^ 8 = 0. Nekrasov, P. A. [1889] 



Bee. Mth. (Moscou) 14 (1890) 344- ; Fschr. 

 Mth. (1889) 334. 



^ = X (ay 2 + by + c) + X 1 , where X and X 1 



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 Stoddikieivicz, A. J. Prace Mt.-Fiz. 3 (1892) 

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4850 Theory of Ordinary Linear Differential Equations 4850 



Laplace's equation and formula of Abel. 



Cailler, C. Bll. Sc. Mth. 23 (1899) 26-. 

 Multiform functions belonging to group of 



linear substitutions. Wilczynski, E. J. Am. 



J. Mth. 21 (1899) 85-. 

 Operations in general, and equations of infinite 



order. Bourlet, C. Par. EC. Norm. A. 14 



(1897) 133-. 

 Origin of some equations. Brioschi, F. [1881] 



Em. B. Ac. Line. T. 6 (1882) 42-. 

 Oscillation theorems of Sturm and Klein. 



Bocher, M. N. Y. Am. Mth. S. Bll. 4 (1898) 



295-, 365- ; 5 (1899) 22-. 

 Pfaffian equation, 2nd order, linear. Stodoi- 



kiewicz, A. J. Krk. Ak. (Mt.-Prz.) Bz. 13 



(1886) 160- ; Fschr. Mth. (1885) 315. 

 Picard's equations, reduction and integration. 



Naetsch, E. Leip. Mth. Ps. B. 48 (1896) 1-. 

 Product of k integrals of k equations, property. 



Dillner, G. C. B. 92 (1881) 290-. 

 Eeducibility. Fabry, E. C. B. 106 (1888) 



732-; Par. S. Mth. Bll. 16 (1888) 135-. 



of homogeneous equations. Hamburger, M. 

 Crelle J. Mth. Ill (1893) 121-. 



Beduction to set of 1st order equations. Wein- 

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Beversible symbolic factors. Cockle, (Sir) Jas. 

 [1867] QJ. Mth. 9 (1868) 242-. 



Biemann's equation, theory. Bolza, 0. Mth. 

 A. 42 (1893) 526-. 



form systems on arbitrary algebraic con- 

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 157-. 



Schwarzian derivatives. Sylvester, J. J. Mess. 

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Solution. 



Hargreave, C. J. [1847] Phil. Trans. (1848) 



31-. 

 De Morgan, A. Camb. and Dubl. Mth. J. 4 



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Bronwin, B. [1850] Phil. Trans. (1851) 461-. 

 Graves, C. Ir. Ac. P. 6 (1853^54) 1-. 

 Jordan, C. C. E. 73 (1871) 787-. 

 analogous to Eiccati's, of equations of form 



^-^x m y. Fields, J. C. [1886] J. H. Un. 



Cir. [6J (1886-87) 29-. 

 application of calculus of finite differences. 



Russell, W. H. L. QJ. Mth. 1 (1857) 23-. 

 cases. David, C. A. [1862] (xn) -Lille S. 



Mm. 9 (1863) 409-. 

 conditions that two equations should have p 



common solutions. Lemonnier, H. C. E. 



95 (1882) 476-. 



conjugate, in differential and difference equa- 

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4 (1895) (Son. 2) 228-. 

 by continued fractions. Laguerre, E. [1878- 



85] C. B. 87 (1878) 923- ; Par. S. Mth. Bll. 



8 (1880) 21-; Liouv. J. Mth. 1 (1885) 



135-. 

 dependence on certain parameters. Fuchs, L. 



Berl. Ak. Sb. (1895) 905-. 

 depending on multiple types. Routh, E. J. 



L. Mth. S. P. 14 (1882-83) 144-. 



Invariants. Cayley, A. QJ. Mth. 21 (1886) 



257-. 

 . Brioschi, F. Acta Mth. 14 (1890-91) 



233-. 

 . Mittag-Leffler, G. Crelle J. Mth. 114 



(1895) 306-. 



associated with equations. Platts, C. QJ. 

 Mth. 25 (1891) 300-. 



of general equation, and relation to theory 

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 J. Mth. 21 (1899) 25-. 



Irreducibility. Koenigsberger, L. Gott. Nr. 



(1883) 390- ; Crelle J. Mth. 96 (1884) 123- ; 

 Berl. Ak. Sb. (1899) 672- ; Mth. A. 53 (1900) 

 49-. 



, concept. Frobenius, G. Crelle J. 76 



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of homogeneous equations. Beke, E. Mth. 

 A. 45 (1894) 278-. 



Iterated operators, equations arising from. 



Gutzmer, A. Prag Sb. (1892) (Mth.-Nt.) 



54-. 

 Summer's equation. Forsyth, A. R. QJ. Mth. 



19 (1883) 125-. 



, analogue of. Goursat, E. C. B. 99 



(1884) 777-, 858-. 



of hypergeometric series. Goursat, E. 



Helsingf. Acta 15 (1888) 45-. 

 , 3rd order, particular case. Cayley, A. 



Mess. Mth. 20 (1891) 75-. 

 Lagrange's determinantal equation of small 



oscillations, occurrence of equal roots in. 



Purser, F. B. A. Bp. (1878) 463-. 

 Lame-Hermite equation. Brioschi, F. St Pet. 



Ac. Sc. Bll. 35 (1894) 449-. 

 equations for two variables, generalised. 



Krause, M. Leip. Mth. Ps. B. 50 (1898) 



(Mth.) 192-, 231-. 

 Lamp's equation. Pick, G. A. Wien Ak. Sb. 



96 (1888) (Ab. 2) 872-. 

 , generalisation. Palmstrfmi, A. Berg. 



Ms. Aarb. (1897) No. 11, 9 pp. 

 , Hermite's case. Klein, F. Mth. A. 40 



(1892) 125-. 

 , second solutions. Crawford, L. Edinb. 



Mth. S. P. 16 (1898) 57-. 



- ^| - [n (n + l)$u + B}y = Q. Palmstrfin, 



A. Christiania Skr. (Mth.-Nt. Kl.) (1894) 

 No. 6, 12 pp. 



386 



