4850 Theory of Ordinary Linear Differential Equations 4850 



Fundamental equation of homogeneous equa- 

 tions. Hamburger, M. Crelle J. Mth. 115 

 (1895) 343-. 



, theory. Schlesinger, L. Crelle J. Mth. 



114 (1895) 143-. 



equations. Gilnther, P. Crelle J. Mth. 

 107 (1891) 298-. 



of homogeneous equations. Beke, E. 



[1898] Mth. Nt. B. Ung. 15 (1899) 273-. 



property, demonstrations. Mansion, P. 

 Brux. Ac. Bll. 38 (1874) 578- ; Mess. Mth. 4 

 (1875) 177- ; 7 (1878) 188- ; Arch. Mth. Ps. 

 58 (1876) 99-. 



General equation. Oliver, J. E, A. Mth. 3 



(1887) 109-. 

 , 2nd order. Cockle, (Sir) Jas. L. Mth. 



S. P. 19 (1889) 257-. 

 Geometrical considerations. Fano, G. Rm. 



E. Ac. Line. Rd. 4 (1895) (Sem. 1) 18-. 

 Groups. Picard,E. Bll. Sc. Mth. 9 (1885)202-. 

 Gylden-Linstedt equation generalised. Picart, 



L. Bordeaux S. Sc. PV. (1896-97) 103- ; 



(1897-98) 145-. 



Hamburger sub-groups of canonical funda- 

 mental system. Schlesinger, L. Crelle J. 



Mth. 114 V (1895) 159-, 309-. 



d?u 

 Integrability conditions for ^ + x m u 0. 



Florov, P. S. (xn) Kharkov Mth. S. Com. 

 (1883) 129- ; Fschr. Mth. (1884) 288. 



Integrals. 



Heffter, L. Crelle J. Mth. 109 (1892) 222-. 

 algebraic. Goursat, E. Bll. Sc. Mth. As'. 6 



(1882) 120- ; C.R. 100 (1885) 1329-. 

 , of equations with coefficients rational. 



Autonne, L. Par. EC. Pol. J. 54 (1884) 1-. 

 , , 2nd order. Vernier, P. C. R. 118 



(1894) 1317-. 

 , , , method of obtaining. Pepin, T. 



Rm. N. Line. At. 34 (1881) 243-. 

 , form. Konigsberger, L. [1882] Mth. A. 



21 (1883) 454-. 



relations between. Koenigsberger, L. Mth. 

 A. 31 (1888) 220-. 



asymptotic representation. Kneser, A. Mth. 



A. 49 (1897) 383-. 



. Horn, J. Mth. A. 49 (1897) 453-. 



behaviour near singular point. Horn,J. Crelle 



J. Mth. 120 (1899) 1-; 122 (1900) 73-. 

 cases. Graefe, F. [1880] Crelle J. Mth. 91 



(1881) 262-. 

 complete integral from particular integrals 



with 2nd term zero. Minich, S. R. [1851] 



Yen. Mm. I. 5 (1855) 43-. 

 distinction in sub-groups. Casorati, F. C. R. 



92 (1881) 175-, 238-. 

 of equations with coefficients constant. Mai- 



nardi, G. Rm. At. N. Line. 26 (1873) 388-. 

 , introduction of algebraic func- 

 tions of principal variable. Hincks, E. Ir. 



Ac. T. 13 (1818) 115-. 

 periodic. Anisimov, V. A. Vars. 



S. Nt. Tr. (Mm.) 3 (1896) 23 pp. ; Fschr. 



Mth. (1896) 258; Vars. S. Nt. Tr. (1897) 



(Ps. C.) Fasc. 2, No. 6. 



of equations with coefficients variable, form. 

 Hamburger, M. Crelle J. 76 (1873) 113-. 



, properties. Tannery, J. Par. 



EC. Norm. A. 4 (1875) 113-. 



, 2nd order, bilinear relations between con- 

 stants. Kepiriski, S. Krk. Ak. (Mt.-Prz.) 

 Rz. 7 (1895) 384- ; Fschr. Mth. (1895) 445-. 



, , form. Steen, A. Kiob. Ov. 



(1874) 1-. 



, , infinite values. Gromeka, I. S. 



Kazan S. Nt. (Ps.-Mth.) P. 6 (1888) 14-; 

 Fschr. Mth. (1887) 322. 



, higher order. Schellbach, C. H. Crelle 



J. 16 (1837) 352-. 



evaluation and reduction of principal function. 

 Cauchy, A. L. C. R. 9 (1839) 637-. 



exchange of argument and parameter. Fro- 

 benius, G. [1873] Crelle J. Mth. 78 (1874) 

 93-. 



expansion in series. Fuchs, L. [1870] A. Mt. 

 4 (1870-71) 36-. 



. Fabre, A. As. Fr. C. R. (1894) 



(Pt. 2) 158-. 



form. Jiirgens, E. Crelle J. Mth. 80 (1875) 

 150-. 



. Johanson, A. M. Stockh. Ofv. (1889) 

 583- ; (1890) 283- ; Fschr. Mth. (1890) 311-. 



forms. Picard, E. C. R. 94 (1882) 418-. 



fundamental, and their derivatives, algebraic 

 relations for homogeneous equation, 2nd 

 order. Koenigsberger, L. Mth. A. 31 (1888) 

 75-. 



, , , 3rd order. Koenigs- 

 berger, L. Crelle J. Mth. 103 (1888) 274-. 



, derivatives of same function. Craig, T. 

 Am. J. Mth. 8 (1886) 85-. 



, of homogeneous equation, 2nd order, rela- 

 tions. Konigsberger, L. Mth. A. 22 (1883) 

 269-. 



general, of equation, 3rd order. Starkov, A. P. 

 Kazan S. Nt. (Ps.-Mth.) P. 3 (1885) 86-; 

 Fschr. Mth. (1885) 323, 324. 



and particular, connexion. Konigsberger, 

 L. Crelle J. Mth. 91 (1881) 265-. 



of homogeneous equation connected by homo- 

 geneous relation y^ - y<,y s y 4 ... y p+l = 0. 

 Wallenberg, G. Crelle J. Mth. 114 (1895) 

 181-. 



, expansion near singular point. 

 Bucca, F. Palermo Cir. Mt. Rd. 14 (1900) 

 115-. 



equations, 2nd order, real roots. Gegen- 



bauer, L. Wien Ak. Sb. 109 (1900) (Ab. 2a) 



61-. 

 , 6th order, homogeneous quadratic 



relations between. Bosenkranz, M. Z. Mth. 



Ps. 35 (1890) 82-, 129-. 

 , recurring formulae for. Heffter, L. 



Crelle J. Mth. 106 (1890) 269-. 

 , (Heffter). Fuchs, L. Crelle 



J. Mth. 106 (1890) 283-. 

 and invariants of homogeneous equation, 



analytic representation. Mittag-Leffler, G. 



Acta Mth. 15 (1891) 1-. 

 irregular. Poincare, H. C. R. 101 (1885) 



939-, 990- ; Acta Mth. 8 (1886) 295- ; 10 



(1887) 310-. 



381 



