5240 Differential Invariants 



tangential, infinitesimal, of optics. Lie, S. 



Leip. Mth. Ps. B. 48 (1896) 131-. 

 , invariant theory. Lie, S. Christiania F. 



14 (1872) 133- ; Mth. A. 8 (1875) 215-. 

 , leaving ratio of measures of curvature un- 

 altered. Vivanti,G. Z.Mth.Ps. 37 (1892) 1-. 

 , Lie's. Mayer, A. C. G. Gott. Nr. (1874) 



317-. 

 , theory, and theory of perturbations. 



Lovett, E. O. Am. As. P. (1897) 58-. 

 , and line geometry. Lie, S. Leip. Mth. 



Ps. B. 49 (1897) 687-. 

 , between line and sphere, infinite continuous 



group. Lovett, E. O. G. E. 129 (1899) 405-, 



1296. 

 , problem. Vivanti, G. Palermo Cir. Mt. 



Ed. 5 (1891) 269-. 

 , properties in connexion with curvature. 



Mehmke, R. Z. Mth. Ps. 38 (1893) 7-. 

 , of surfaces, theory. Bdcklund, A. V. Mth. 



A. 19 (1882) 387-. 

 , theory. Lie, S. Leip. Mth. Ps. Ab. 14 



(1888) 535-. 

 , . LUienthal, E. von. Mth. A. 50 (1898) 



303-. 

 theory, general. Lie, S. Leip. Mth. Ps. B. 



47 (1895) 494-; 48 (1896) 390-. 



of 4S r8 a r8 -r . -T , reciprocity law. Beltrami, 

 E. [1866] r G. Mt. 5 (1867) 24-. 



Uniform substitutions. Podetti, F. G. Mt. 35 



(1897) 264-. 

 Universal invariants, application to point and 



contact groups in space of two dimensions. 



Eabut, . Par. EC. Pol. J. 4 (1898) 137-. 



5240 Differential invariants. (See 

 also 1230.) 



Combescure, E. [1870] Mntp. Mm. Ac. Sect. 



Sc. 7 (1867-71) 447-. 

 Lie, S. Mth. A. 24 (1884) 537-. 

 Sylvester, J. J. C. B. 102 (1886) 31-. 

 Appell, P. C. R. 105 (1887) 55-. 

 Papperitz, . D. Nf. Tbl. (1887) 229. 

 Goursat, E. C. E. 107 (1888) 898-. 

 Appell, P. Liouv. J. Mth. 5 (1889) 361-. 

 Rivereau, P. Liouv. J. Mth. 8 (1892) 233-. 

 Levi-Civita, T. Yen. I. At. (1893-94) 1447-, 



Bouton, C. L. N. Y. Am. Mth. S. Bll. 4 (1898) 



313-. 



Wallenberg, G. Crelle J. Mth. 121 (1900) 200-. 

 Application to linear homogeneous equations. 



Wallenberg, G. Crelle J. Mth. 113 (1894) 1-. 

 Binomial biordinals. Cockle, (Sir) Jas. L. 



Mth. S. P. 12 (1880-81) 63-; Ph. Mg. 24 



(1887) 249-. 

 Canonical expansions in series, coefficients 



being invariants of continuous group. Tresse, 



A. C. E. 114 (1892) 1256-. 

 Class. Malet, J. C. [1881] Phil. Trans. 173 



(1883) 751-. 

 , relative to linear equations. Poincare, H. 



C. E. 94 (1882) 1402-. 



Differential Invariants 5240 



Configurations of three dimensions. Cotton, E. 



Toul. Fac. Sc. A. 1 (1899) 385-. 

 Conjugate annihilators of homogeneous and 



isobaric differential expressions. Rogers, 



L. J. Mess. Mth. 18 (1889) 153-. 

 Connexion between elements of orthogonal 9 



and 16 systems. Jahnke, E. Crelle J. Mth. 



118 (1897) 224-. 

 Continuous groups. Lie, S. Christiania F. 



(1884) No. 8, 4 pp., No. 9, 4 pp. ; (1885) 



A T o. 15, 4 pp. 



transformation groups, extension. Zorawski, 

 K. Krk. Ak. (Slt.-Prz.) Rz. 4 (1893) 34-; 

 Fschr. Mth. (1893-94) 635. 



Coresolvents. Cockle, Jas. [1862] QJ. Mth. 



6 (1863) 9-, 151-, 226-. 

 Covariant belonging to quadratic invariant. 



Ricci, G. Em. E. Ac. Line. Ed. 3 (1887) 



(Sem. 1) 15-. 

 Covariants. Cockle, (Sir) Jas. [1863-64] Ph. 



Mg. 27 (1864) 225-; 28 (1864) 205-. 



of plane curves. Gwyther, R. F. [1893] 

 Phil. Trans. (A) 184 (1894) 1171-. 



Critical functions. Cockle, Jas. QJ. Mth. 4 

 (1861) 97-, 265-. 



. Warren, J. W. [1863-64] (vi) QJ. Mth. 



6 (1864) 231-, (vni) 372-. 



Deformation invariants. Zorawski, K. Acta 

 Mth. 16 (1892-93) 1-. 



Differential equation of most general substitu- 

 tion of 1 variable. MacMahon, P. A. Ph. 

 Mg. 23 (1887) 542-. 



operators, certain linear, interchange of 

 variables in. Elliott, E. B. [1889] Phil. 

 Trans. (A) 181 (1891) 19-. 



used to form system of invariants, etc. 

 Elliott, . L. Mth. S. P. 26 (1895) 185-. 



parameters, simple or simultaneous. Morin, 

 P. C. E. 66 (1868) 601-. 



resolvents. Cockle, (Sir) Jas. [1864] 

 Manch. Lt. Ph. S. P. 4 (1865) 38-. 



. Spottiswoode, W. QJ. Mth. 6 (1864) 



262-. 



of algebraic equations, higher degree. 

 Lachtin, L. K. [1896-98] Eec. Mth. (Moscou) 

 19 (1897) 21 1-, 393- ; 20 (1899) 260- ; Fschr. 

 Mth. (1897) 88- ; (1898) 74. 



and partial differential resolvents. Raw- 

 son, R. Manch. Lt. Ph. S. P. 21 (1882) 59-. 



Functional invariants, class. Forsyth, A. R. 

 [1888] Phil. Trans. (A) 180 (1890) 71-. 



Function- and invariant-theory of binomial 

 configurations. Welhtein, J. Mth. A. 52 

 (1899) 70-. 



Fundamental invariants. Vogt, H. Par. EC. 

 Norm. A. 6 (1889) (Suppl.) 71 pp. 



General quartine or incriticoid of 4th degree. 

 Barley, (Rev.) R. Ph. Mg. 26 (1888) 456-. 



Group of motions and their invariants. Lie, 

 S. Leip. Mth. Ps. B. 45 (1893) 370-. 



theory and its applications. Zorawski, K. 

 Krk. Ak. (Mt.-Prz.) Ez.6 (1893) 289-; Crc. 

 Ac. Sc. Bll. (1893) 145-. 



Homographic invariants and quotient deriva- 

 tives. Forsyth, A.R. Mess. Mth. 17 (1888) 154-. 



Indefinite quadratic invariants. Bianchi, L. 

 Em. E. Ac. Line. Mm. 5 (1888) 539-. 



398 



