4880 Higher Orders 



Integration. Malmsten, C. J. Stockh. Ak. 



Hndl. 3 (1859-60) 94 pp. ; Liouv. J. Mth. 7 



(1862) 257-. 

 . Schapira, . D. Nf. Vh. (1893) (Th. 2, 



Hfilfte 1) 15-. 

 , application of differential quotients with 



general index. Most, E. Z. Mth. Ps. 16 



(1871) 190-. 



of equation of conies. Prevost, G. Bor- 

 deaux S. Sc. PV. (1897-98) 47-. 

 equations, 2nd order. Svanberg, A. F. 



Stockh. Ak. Hndl. (1833) 1-; Ups. N. Acta 



S. Sc. 1 (1851) 261-. 

 , . Guldberg, A. Christiania 



F. (1895) No. 6, 48 pp. ; Fschr. Mth. (1896) 



249-. 

 , , cases. Winckler, A. [1874] 



Wien Ak. Sb. 70 (1875) (Ab. 2) 149-. 

 , , . Pajak, S. Prace Mt.- 



Fiz. 11 (1900) 32- ; Fschr. Mth. (1900) 350-. 

 , , class. Strong, T. Silliman 



J. 42 (1842) 273-. 

 , , by factors. Andreiewsky, . 



C. B. 68 (1869) 716-. 

 , , with 2 variables. Tychsen, C. 



Mth. Ts. 6 (1864) 1-. 

 of high order. Cardinali, F. [1806] 



Mod. Mm. S. It. 13 (1807) 381-. 



-*g + ()Vag + -.*.* 



S being functions of x, y. Tychsen, C. Mth. 

 Ts. 5 (1863) 173-. 



- |^ + (1 - ft) p = jS + etc. Backlund, J. 0. 



As. Nr. 103 (1882) 323-. 

 Irreducible functions, properties. Konigsberger, 



L. Crelle J. Mth. 95 (1883) 171-. 

 Last multiplier. Winckler, A. [1879] Wien 



Ak. Sb. 80 (1880) (Ab. 2) 948-. 

 Polynomials satisfying differential equation, 



3rd order. Appell, P. As. Fr. C. E. 8 



(1879) 253-. 

 Eepresentation of functions, between certain 



limits, by series of values of function satis- 

 fying equation of 2nd order. Picart, A. 



N. A. Mth. 2 (1883) 109-. 

 Singularities depending on integral constants. 



Fransen, A. E. Stockh. Ofv. (1897) 31 7-. 

 , essential. Painleve, P. C. E. 116 (1893) 



362-. 

 , . Picard, E. C. E. 116 (1893) 365; 



Acta Mth. 17 (1893) 297-. 

 Solutions, particular, of equations, 2nd order, 



in 2 variables. Weiler, A. Grunert Arch. 



32 (1859) 286-. 

 , rational fractional. Andreev, K. A. 



Kharkov Mth. S. Com. 4 (1895) 150- ; 



Fschr. Mth. (1893-94) 537. 

 , . Markov, A. A. Kharkov Mth. S. 



Com. 4 (1895) 175-. 

 , , Bugaev's method compared with 



others. Im&eneckij, V. G. Kharkov Mth. 



S. Com. 4 (1895) 60-; Fschr. Mth. (1893- 



94) 537. 



Kharkov Mth. S. Com. 4 (1895) 146-'; Fschr. 

 Mth. (1893-94) 537. 



Differential Forms 5200 



Solutions, singular. Girault, C. Caen Ac. 

 Mm. (1855) 211-. 



, . Cockle, (Sir) Jas. QJ. Mth. 12 (1873) 

 305-. 



, . Hollman, P. J. N. Arch. Wisk. 8 

 (*1882) 23-. 



, . Mitchell, H. Edinb. Mth. S. P. 16 

 (1898) 64-. 



, , general theory. Zajaczkoicski, W. (xn) 

 Krk. Ak. (Mt.-Prz.) Pam. 3 (1877) 1-. 



, , geometric meaning. Fine, H. B. Am. 

 As. P. (1887) 64. 



Systems with fixed critical points. Painleve, P. 



C. E. 130 (1900) 767-. 

 Theory, history, 1878-93. Craig, T. N. Y. 



Mth. S. Bll. 2 (1893) 119-. 

 Transformation. Cockle, (Sir) J. [1881] Mess. 



Mth. 11 (1882) 109-. 



of equation of even order to isoperimetric 

 form. Imchenetsky, V. [1886] St Pet. Ac. 

 Sc. Bll. 31 (1887) 283-. 



>S+-f(al) +*=> *""" * 



Mess. Mth. 5 (1871) 90-. 



^frrJ\ = - 4 T rV Tait, P. G. Edinb. 

 dr \pdrj k 



Mth. S. P. 4 (1886) 23-. 

 y" = Ay 3 + By 2 + Cy + D + (Ey + F) y'. Fransen, 



A. E. Stockh. Ofv. (1895) 223-; Fschr. 



Mth. (1895) 374-. 



Differential forms and differential 

 invariants. 



5200 General. 



Differential functions. Guerin, V. C. E. 60 

 (1865) 519-. 



operators, some families. Perrin, R. C. E. 

 106 (1888) 1131-. 



polynomials, theorem on class. Chini, M. 

 Yen. I. At. (1893-94) 872-. 



Exponential differences and differentials, 



Wronski's theory. Krauze, W. Prace Mt.- 



Fiz. 5 (1894) 160- ; Fschr. Mth. (1893-94) 



459-. 

 ---- , -- . Dickstein, S. Prace Mt.- 



Fiz. 5 (1894) 169- ; Fschr. Mth. (1893-94) 



459-. 

 Integrability conditions. Kronecker, L. Crelle 



J. 59 (1861) 311-. 

 Integration of algebraic differential expressions 



in finite form. Petersen,J. Gott. Nr. (1878) 



68-. 



differential forms, five. Martin, Art. 

 Des Moines Anal. 4 (1877) 175-. 



___ formulae, two. Malfatti, G. F. Turin 



Mm. Ac. 4 (1788-89) 53-. 

 -- exact differentials. Combescure, E. Mntp. 



Ac. Mm. 11 (1892) 59-. 



method, Bertrand's, application to total 

 differential equation in many variables. 

 Stodotkiewicz, A. J. (xn) Krk. Ak. (Mt.- 

 Prz.) Pam. 8 (1883) 137-. 



Invariant differential operators. Capelli, A. 

 Nap. Ed. 26 (1887) 110-. 



393 



