4850 Theory of Ordinary Linear Differential Equations 4850 



Case, and its application to trinomial equations. 



Floridia, G. G. Mt. 31 (1893) 354-; 32 (1894) 

 86-; 33 (1895) 13-, 145-, 242-, 327-, 

 379-. 



Metzler, G. F. A. Mth. 9 (1894-95) 171- ; 11 



Heymann, W. Mth. A. 26 (1886) 534-. 

 having hypergeometric series for integral. 

 Goursat, E. Par. EC. Norm. A. 10 (1881) 



(1896-97) 1-. (Suppl.) 142 pp. 



Anisimov, F. A. [1898] Eec. Mth. (Moscou) 20 _ ( 3rd or ; der . Starkov, A. N. Es. S. Nt. Mm. 



(1899) 316-. 

 Igel, B. Mh. Mth. Ps. 9 (1898) 124-. 

 Grilnfeld, E. Mh. Mth. Ps. 9 (1898) 372. 

 B6cher, M. A. Mth. 12 (1898-99) 45-. 

 Dini, U. A. Mt. 2 (1899) 297-; 3 (1899) 



125-. 



Horn, J. Mth. A. 53 (1900) 177-. 

 Adjoint and associated equations, nth order. 



Grilnfeld, E. Crelle J. Mth. 121 (1900) 



218-. 

 equations. Pick, G. Wien Ak. Sb. 101 



(1892) (Ab. 2a) 893-. 

 . Igel, B. Mh. Mth. Ps. 5 (1894) 163- ; 



10 (1899) 229-. 

 . Gilnther, P. Crelle J. Mth. 117 (1897) 



168. 

 Algebraically integrable equations. Frobenius, 



G. Crelle J. Mth. 80 (1875) 183-. 

 . Fuchs, L. Berl. Ak. Sb. (1890) 



in relation to Fuchsian functions. 

 Viterbi, A. G. Mt. 35 (1897) 150- ; 36 (1898) 

 55-. 



homogeneous equations. Boulanger, A. 



Par. EC. Pol. J. 4 (1898) 1-. 

 Analogies with algebraic equations. Mainardi 



G. Em. At. N. Line. 26 (1873) 386-. 

 Application of determinant formula. Anisimov, 



V. A. Vars. S. Nt. Tr. (1897) (Ps. C.) 



Fasc. 3, Mm. 2, 16 pp.; Fschr. Mth. 



(1898) 263 ; Mth. A. 51 (1899) 388-. 



infinite determinants. Koch, H. von. 

 Acta Mth. 15 (1891) 53-; 16 (1892-93) 

 217-. 



to homogeneous equations. Koch, 



H. von. Stockh. Ofv. (1890) 225-, 499-; 

 Fschr. Mth. (1890) 316. 



integral calculus. Brassinne, E. Toul. 



Mm. Ac. 4 (1860) 510-. 



theory of substitutions. Jordan, C. 

 Par. S. Mth. Bll. 2 (1874) 100-. 



Arbitrary constants, determination. Trudi, N. 



[1864] (xi) Nap. Ac. At. 2 (1865) No. S, 



25pp. 

 Associated equations. Fuchs, L. Berl. Ak. Sb. 



(1899) 182-. 



Binary forms, variables of which are funda- 

 mental integrals of equation, 2nd order. 

 Vernier, P. Par. S. Mth. Bll. 22 (1894) 

 133-. 



Binomial biordinal. Cockle, (Sir) J. L. Mth. 

 S. P. 11 (1879-80) 123-. 



equations. Steen, A. (xn) Ts. Mth. 4 

 (1874) 104-. 



. Craig, T. [1886] J. H. Un. Cir. [61 



(1886-87) 28-. 

 with algebraic coefficients, class. Appell, 



P. C. E. 94 (1882) 202- ; Par. EC. Norm. A. 



12 (1883) 9-. 

 , nth order, case. Pochliammer, L. Mth. 



A. 38 (1891) 247-. 



376 



(1885) 13-; Fschr. Mth. (1885) 



, . Markov, A. A. [1892] Eec. Mth. 



(Moscou) 16 (1893) 352- ; Fschr. Mth. (1892) 



313. 

 satisfied by squares of X%y" + X l y' + X y = 0. 



Spitzer, S. Schlomilch Z. 4 (1859) 73-. 



y= I e w ( m+x ) (u - x) A ~! (u - /3) *-i 



log [(m + x) (u -"a) (u - /S)l du. Spitzer, S. 



Schlomilch Z. 3 (1858) 178-. 

 Cases. Cockle, Jas., & Harley, R. Manch. 



Ph. S. P. 3 (1862-63) 16-. 

 . Michaelis, J. P. Lux. S. Sc. Mm. 8 



(1865) 160-. 

 . Hermite, C. [1874] Crelle J. Mth. 79 



(1875) 324-. 



. Harley, E. B. A. Ep. (1878) 466-. 

 . Steen, A. Acta Mth. 3 (1883) 277-. 

 . Goursat, E. C. E. 98 (1884) 1248-. 

 . Brioschi, F. Mth. A. 26 (1886) 106-. 

 . Gutzmer, A. [1891-95] G. Teix. J. Sc. 10 



(1891)3-; 13 (1897)3-. 

 . Jackson, F. H. Edinb. Mth. S. P. 14 



(1896) 104-. 

 . Markov, A. A. St Pet. Ac. Sc. Mm. 3 



(1896) No. 10, 17 pp. 



. Fano, G. Em. E. Ac. Line. Ed. 8 (1899) 



(Sem. 1) 285-. 



Class. Picard, E. C. E. 90 (1880) 128-. 

 . Appell, P. C. E. 91 (1880) 972-; 96 



(1883) 1018-. 



. Halphen, G. H. C. E. 92 (1881) 779-. 

 . Craig, T. Am. J. Mth. 7 (1885) 279-. 

 . Cels,J. C.E. Ill (1890) 879-; 112(1891) 



985-. 



. Fuchs, L. Berl. Ak. Sb. (1896) 753-. 

 . Horn, J. Mth. A. 50 (1898) 525-. 



discussed by Mittag-Leffler. Brioschi, F. 

 A. Mt. 11 (1882-83) 81-. 



, special. Hamburger, . Crelle J. Mth. 

 103 (1888) 238-. 



Common divisors and multiples of linear ex- 

 pressions. Heffter, L. D. Mth. Vr. Jbr. 4 



(1897) 131-. 



Complete cubic resolvent, explicit form. Harley, 

 (Rev.) R. B. A. Ep. (1886) 439-. 



Construction of equation from given element 

 of integral function. Heun, K. Am. J. Mth. 

 11 (1889) 215-. 



, particular integrals of which are 

 products of those of 2 given equations. 

 Spitzer, S. Arch. Mth. Ps. 42 (1864) 62-. 



, squares of those of 



X 2 y" + X,y' + X tt y = 0. Spitzer, S. Arch. Mth. 

 Ps. 42 (1864) 64. 



f fm+x 



satisfied by y = e A J * ^ "*. Spitzer, 



S. Arch. Mth. Ps. 42 (1864) 345-. 



equations of higher order, cases. Spitzer, 



S. Arch. Mth. Ps. 65 (1880) 321-. 



