5240 Differential Invariants 



Infinitesimal transformations of plane curve 



with corresponding differential invariants. 



Arvay, W.,<Komperda,H. Prace Mt.-Fiz. 



10 (1899-1900) 113- ; Fschr. Mth. (1899) 540. 

 Integral invariant of Poincare. Pica/ft, L. 



Bordeaux S. Sc. PV. (1898-99) 124-. 

 invariants. Koenigs, G. C. E. 122 (1896)25-. 

 , application to reduction of differential 



equations to canonical type. Koenigs, G. 



C. E. 121 (1895) 875-. 

 of continuous transformation groups. 



Zorawski, K. Krk. Ak. (Mt.-Prz.) Ez. 8 



(1895) 232- ; Crc. Ac. Sc. Bll. (1895) 127-. 

 , theory, corollary of theory of differential 



invariants. Lie, S. Leip. Mth. Ps. B. 49 



(1897) 342-. 

 , and their use in theory of differential 



equations. Lie, S. Leip. Mth. Ps. B. 49 



(1897) 369-. 

 Invariant differential expressions. Hazzidakis, 



J. N. Crelle J. Mth. 104 (1889) 102-. 



formations attaching to class of differential 

 equations, 1st order. Liouville, R. C. E. 

 105 (1887) 460-, 496. 



total differential equation 



Pdx + Qdy + Rdz = 0. 

 Pag-e, J. M. A. Mth. 12 (1898-99) 182-. 

 Invariants and their applications. t Liouville, 

 R. C. E. 109 (1889) 560- ; Par. EC. Pol. J. 

 59 (1889) 7-. 



of class of equations of 1st order. Elliot, Z. 

 C. E. 110 (1890) 629-. 



continuous finite groups. Lindelof, E. 

 Helsingf. Acta 20 (1895) No. 1, 62 pp. 



transformation groups. Tresse, A. 

 Acta Mth. 18 (1894) 1-. 



, covariants and quotient-derivatives asso- 

 ciated with differential equations. Forsyth, 

 A,R. [1888] Phil. Trans. (A.) 179 (1889) 377-. 



of differential quadratics. Maschke, H. 

 N. Y. Am. Mth. S. T. 1 (1900) 197-, 508. 



, form. Medolaghi, P. Em. E. Ac. Line. 



Ed. 7 (1898) (Sem. 1) 145-. 

 , w ith reference to certain groups. Cotton, 



E. C. E. 128 (1899) 495-. 



in general theory of surfaces. Zorawski, K. 

 Krk. Ak. (Mt.-Prz.) Ez. 8 (1895) 1-; Crc. 

 Ac. Sc. Bll. (1895) 91-. 



of Goursat and Painleve. Lovett, E. 0. 

 Am. J. Mth. 22 (1900) 40-. 



infinite continuous transformation group. 



Zorawski, K. Krk. Ak. (Mt.-Prz.) Ez. 4 



(1893) 41- ; Fschr. Mth. (1893-94) 635-. 

 linear differential equations. Laguerre, 



E. C. E. 88 (1879) 224-. 

 . Rivereau, . Toul. Fac. Sc. 



A. 4 (1890) M, 5 pp. 

 homogeneous differential equation. 



Mittag-Leffler, G. C. E. 109 (1889) 637-; 



Stockh. Ofv. (1889) 427-. 

 partial equations. Le Roux, J. C. 



E. 126 (1898) 721-. 

 . . Cotton, E. Par. EC. Norm. 



A. 17 (1900) 211-. 

 , Malet's, identification with Sir James 



Cockle's criticoids. Harley, (Rev.) R. E. 



S. P. 38 (1885) 45-. 



Differential Invariants 5240 



Invariants, Malet's, identification with Sir 

 James Cockle's criticoids. Malet, J. C. 

 E. S. P. 38 (1885) 211-. 



of motion of continuous material system. 

 Zorawski, K. [1900] Krk. Ak. (Mt.-Prz.) 

 Ez. 18 (1901) 353- ; Crc. Ac. Sc. Bll. (1900) 

 367-. 



of skew curves. Halphen, G. H. Par. EC. 

 . Pol. J. Cah. 47 (1880) 1-. 



surface with reference to conformal 

 transformations of space. Tresse, A. C. E. 

 114 (1892) 948-. 



system of in points by projective trans- 



. formation. Lovett, E. 0. Am. J. Mth. 21 

 (1899) 168- ; 22 (1900) 46-. 



m + 1 points with reference to pro- 

 jective transformations. Lovett, E. 0. C. 

 E. 127 (1898) 346-. 



transformation groups, extension of con- 

 cept. Killing, W. Mth. A. 35 (1890) 423-. 



Linear partial differential equations with con- 

 tinuous transformation group. Campbell, 

 J. E. N. Y. Am. Mth. S. T. 1 (1900) 243-, 509. 



Multilinear partial differential operator. Mac 

 Mahon, P. A. L. Mth. S. P. 18 (1886-87) 61-. 



Pfaff-invariants. Cayley, . QJ. Mth. 26 

 (1893) 195-. 



Point invariants of ordinary differential equa- 

 tion, 2nd order. Tresse, A. C. E. 120 



(1895) 429-; Leip. Jablon. Preisschr. 32 



(1896) 87 pp. 



partial differential equations, 2nd 

 order. Medolaghi, P. Em. E. Ac. Line. 

 Ed. 6 (1897) (Sem. 2) 247-, 313-. 



Primary forms of linear differential equations, 

 2nd order. Schlesinger, L. C. E. 115 (1892) 

 32-. 



Projective cyclic concomitants. Elliott, E. B. 

 L. Mth. S. P. 20 (1889) 131-. 



invariants for curves of hyperspace. Berzo- 

 lari, L. A. Mt. 26 (1897) 1-. 



Quantoids. Cockle (Sir) Jas. Ph. Mg. 30 



(1865) 347-. 

 Eeciprocants. Sylvester, J. J. Mess. Mth. 15 



(1886) 88-. 

 , homographic and circular. Rogers, L. J. 



L. Mth. S. P. 17 (1887) 220-, 344-; 18 



(1886-87) 130-. 

 , integrable, class. Hammond, J. L. Mth. 



S. P. 17 (1887) 128-. 



and invariants. Cayley, A. QJ. Mth. 26 

 (1893) 169-, 289-. 



, method, as containing an exhaustive theory 

 of singularities of curves. Sylvester, J. J. 

 Nt. 33 (1886) 222-, 331-. 



perpetuant. MacMahon, P. A. L. Mth. 

 S. P. 17 (1887) 139-. 



, pure irreducible, of 4th order. Sylvester, 



J. J. C. E. 102 (1886) 152-. 

 _ 7 5 tables to weight 8. Cayley, A. Am. J. 



Mth. 15 (1893) 75-. 

 ternary, and allied functions. Elliott, 



E. B. L. Mth. S. P. 19 (1889) 6-. 

 , differential equations. Elliott, E.B. 



[1886] L. Mth. S. P. 18 (1886-87) 142-. 

 , simultaneous. Berry, A. QJ. Mth. 23 



(1889) 260-. 



399 



