5220 



5230 



5220 Differential forms of the 

 second and higher orders. (See 

 also 8450.) 



Clairautian functions and equations. Cunning- 

 ham, A. [1876] E. S. P. 25 (1877) 43-. 



Differential criticoid. Cockle, (Sir) Jas. Ph. 

 Mg. 50 (1875) 440-. 



forms of infinitely high order. Zorawski, 

 K. Krk. Ak. (Mt.-Prz.) Ez. 6 (1893) 419- ; 

 Fschr. Mth. (1893-94) 456-. 



parameter of 2nd order, properties. Haton 

 de la Goupilliere, . C. E. 101 (1885) 18-. 



parameters. Somigliana, C. Mil. I. Lomb. 

 Ed. 22 (1889) 275-. 



of functions. Cornbescure, E. Par. EC. 



Norm. A. 7 (1878) 409-. 



, especially V 2 , definition. Bous- 

 sinesq, J. C. E. 95 (1882) 479-. 



, theory. Beltrami, E. Bologna Ac. Sc. 



Mm. 8 (1868) 549-; Bologna Ed. (1869) 55-. 



quadratic form, second parameter. Bel- 

 jankin, I. [1900] Kazan S. Ps.-Mth. Bll. 10 



(1901) 181-. 



forms, classification. Eicci, G. Em. E. 



Ac. Line. Ed. 4 (1888) (Sem. 1) 203-. 



, parameters and invariants. Ricci, G. 



A. Mt. 14 (1886-87) 1-. 



, simultaneous transformation. Knob- 

 lauch, J. Crelle J. Mth. 115 (1895) 185-. 



, theory. Eicci, G. A. Mt. 12 (* 1883- 



84) 135-. 



, . Tannenberg, W. de. C. E. 119 



(1894) 321-. 



quadratics, invariants. Maschke, H. N. Y. 

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



Differentials of functions of several indepen- 

 dent variables. Goursat, E. C. E. 101 

 (1885) 309-. 



Homogeneous expressions of higher order in 

 several variables. Andreevskil, M. A. [1869] 

 (xn) Eec. Mth. (Moscou) 4 (1869-70) (Pt. 1) 



Invariable expressions. Padova, E. Em. E. 



Ac. Line. Mm. 4 (1887) 4-. 

 Quadratic forms of n differentials. Lipschitz, 



E. Crelle J. 71 (1870) 274-. 



, and Abel's transcendents. 

 Lipschitz, E. [1871] Crelle J. 74 (1872) 



and linear differential forms, invariants. 

 Hessenberg, G. Acta Mth. 23 (1900) 121-. 



Ternary quadratic differential forms, canonical 



types. Koenigs, G. C. E. 100 (1885) 



789. 

 Total differential equations. Guldberg, A. C. 



E. 126 (1898) 1335- ; 127 (1898) 1199-. 

 ,2nd order. Guldberg, A. Christiania 



Skr. (Mth.-Nt. Kl.) (1898) No. 11, 24 pp. 

 , , systems. Pascal, E. C. E. 



130 (1900) 645-. 

 , 3rd order, theory. Pascal, E. Mil. 



I. Lomb. Ed. 33 (1900) 675-. 

 , any order. Pascal, E. Mil. I. Lomb. 



Ed. 33 (1900) 287-. 



5230 Transformation of differen- 

 tial forms, including- tangential 

 (or contact) transformations. 



Adjoint group, theory. Ahrens, W. Leip. Mth. 

 Ps. B. 49 (1897) 358-. 



operation. Pincherle, S. Bologna Ed. 2 

 (1898) 130-. 



Algebraic configurations with continuous in- 

 tegrable group of projective automorphic 

 transformations. Fano, G. Ven. I. At. 

 (1895-96) 1069-. 



non-integrable group of projective 



automorphic transformations. Fano,G. Tor. 

 Ac. Sc. Mm. 46 (1896) 187-. 



equations admitting infinitesimal trans- 

 formations. Lie, M. S. Christiania F. 



(1881) No. 15, 6pp. 



Associated differential forms. Halphen, G. 

 Liouv. J. Mth. 6 (1890) 211-. 



Change of variable. Mertens, F. Krk. Ak. 

 (Mt.-Prz.) Ez. 20 (1890) 267-; Fschr. Mth. 

 (1890) 282. 



Continuous projective groups, simply infinite, 

 in ordinary space. Pittarelli, G. A. Mt. 

 22 (1894) 261-. 



Differential parameters. Pennacchietti, G. Ca- 

 tania Ac. Gioen. At. 9 (1896) Mem. 1, 11 pp. 



quotients of higher order. Sonin, N. Ja. 

 St Pet. Ac. Sc. Bll. 1 (1894) 321- ; Fschr. 

 Mth. (1893-94) 456. 



Equations admitting a group of transforma- 

 tions. Lie, M. S. Arch. Mth. Ntvd. 7 



(1882) 443-; 8 (1883) 187-, 249-, 371-. 

 , and group theory. Lie, S. Leip. Mth. Ps. 



B. 47 (1895) 261-. 



of problems of dynamics admitting an in- 

 finitesimal transformation. Stnckel, P. C. 

 E. 119 (1894) 508-, 723-. 



. (Claim of priority.) 



Staude, 0. C. E. 119 (1894) 903. 



. (Staude's claim of 



priority.) Stdckel, P. C. E. 119 (1894) 1189. 



Infinitesimal adjoints of plane curve. Ocagne, 

 M. d\ N. A. Mth. 19 (1900) 219-. 



deformations. Padova, E. Em. E. Ac. 

 Line. Ed. 5 (1889) (Sem. 1) 174-. 



Integrability factor, theory. Lie, M. S. Chris- 

 tiania F. (1874) 242-. 



Lie, theorem of. Tannenberg, W. de. Bor- 

 deaux S. Sc. PV. (1897-98) 49-. 



Lie's equations, double generalisation. Vessiot, 

 E. C. E. 125 (1897) 1019-. 



Linear homogeneous group. Maurer, L. Leip. 

 Mth. Ps. B. 46 (1894) 215-. 



Orbits of point on surface admitting infini- 

 tesimal transformations. Staude, 0. Leip. 

 Mth. Ps. B. 44 (1892) 429-; 45 (1893) 511-. 



Orthogonal substitutions generated by repeti- 

 tion of infinitesimal substitution. Taber, H. 

 L. Mth. S. P. 26 (1895) 364-. 



Partial differential equations, 2nd order, ad- 

 mitting an infinite group of point trans- 

 formations. Medolaghi, P. A. Mt. 1 (1898) 

 229-. 



396 



