3620 Riemann Surfaces 



in connection with curve \ 3 /* + ^v + v s \ = 0. 



Haskell, M. W. Am. J. Mth. 13 (1891) 1-. 

 construction for inverse of rational functions by 



conformal representation. Bmiton, C. L. 



A. Mth. 12 (1898-99) 1-. 

 of monogenic analytic functions on. Ott, K. 



Mh. Mth. Ps. 4 (1893) 367-. 

 "coupures," and cross-cuts, and concepts of 



integration. Casorati, F. A. Mt. 15 (1887- 



88)223-; 16(1888-89) 1-. 

 cross-cuts, transformation. Wellstein, J. Mth. 



A. 52 (1899) 433-. 

 deficiency. Baker, H. F. Mth. A. 45 (1894) 



133-. 

 function constructed on. Wilczynski, E. J. 



N. Y. Am. Mth. S. Bll. 5 (1899) 388-. 

 for Galois's resolvent of certain modular equa- 

 tions. Dyck, W. Mth. A. 18 (1881) 507-. 

 given, algebraic functions appertaining to. 



Thomae, C. J. Mth. A. 18 (1881) 443-. 

 , integration of V 2 w=0 on. Ascoli, G. [1887] 



Stockh. Ak. Hndl. Bh. 13 (Afd. 1) (1888) 



No. 2, 83 pp. 

 , = (Ascoli). Enestrom, G. 



Stockh. Ofv. (1887) 99-; Fschr. Mth. (1887) 



29. 

 integration of V 2 w + fc 2 = on. Sommerfeld,A. 



Gott. Nr. (1895) 267-. 

 linearly bounded. Schonflies, A. Gott. Nr. 



(1892) 257-. 

 models for. Durege, H. Prag Sb. (1864) (pt. 



2) 112-. 

 new kind. Klein, F. (vm) Erlang. Sb. Ps. 



Md. S. 6 (1874) 102-, 133- ; (x) Mth. A. 7 



(1874) 558-; 10 (1876) 398-. 

 order of branch points. Hensel, K. Berl. Ak. 



Sb. (1895) 933-. 

 prime form on, Eitter's. Fricke, R. Gott. 



Nr. (1900) 314-. 



forms on. Klein, F. C. B. 108 (1889) 134-. 



. Wellstein, J. Gott. Nr. (1900) 380-. 



regular, group and irrationality. Dyck, W. 



Mth. A. 17 (1880) 473-. 

 , of 3rd species, and corresponding " normal 



curve" of 4th order. Dyck, W. Mth. A. 



17 (1880) 510-. 

 representation of function in, with variable 



multipliers of periodicity. Suchar, P. I. 



[Bucarest S. Sc. Bll. 7 (1898)] 143-. 

 sections. Lilroth, J. Mth. A. 4 (1871) 181-. 

 symmetrical, and periodicity moduli of corre- 

 sponding Abelian normal integrals. Weichold, 



G. Z. Mth. Ps. 28 (1883) 321-. 

 theory. Clebsch, E. F. A. [1872] Mth. A. 



6 (1873) 216-. 

 three-leaved. Baur, L. Crelle J. Mth. 119 



(1898) 171-. 



and four-leaved. Hensel, K. Berl. Ak. Sb. 

 (1895) 1103-. 



treatment of unicursal curves by. Osgood, W. F. 



N. Y. Am. Mth. S. Bll. 2 (1896) 168-. 

 use in applied mathematics. Car slaw, H. S. 



B. A. Ep. (1900) 644-. 



Eiemann theorem, demonstration. Prym, F. E. 

 Crelle J. Mth. 83 (1877) 251-. 



Expansions in Series 3630 



Eiemann theorem, demonstration. Croullebois, 



M. C. E. 93 (1881) 719-. 

 theory. Klein, C. F. [1882] Mth. A. 21 



(1883) 141-. 

 (Klein). Noether, H. Z. Mth. Ps. 27 



(1882) (H.-lt. Ab.) 201-. 

 , extension. Volterra, V. Em. E. Ac. 



Line. Ed. 3 (1887) (Sem. 2) 281- ; 4 (1888) 



(Sem. 1) 107-, 196-, (Sem. 2) 485. 

 , note. Lippich, F. Wien Ak. Sb. 69 



(1874) (Ab. 2) 91-. 

 Eoch theorem. Landsberg, G. [1897] Mth. 



A. 50 (1898) 333-. 

 . Fields, J. C. [1900] N. Y. Am. 



Mth. S. Bll. 7 (1901) 244, 254-. 

 , extension to linear systems of forms. 



Eitter, E. Gott. Nr. (1894) 328-. 

 Eolle's theorem, extension. Veneziani, C. 



J. H. Un. Cir. [4] (1885) 78-. 

 Surface of two sheets, theory of functions in. 



Prym, F. E. [1866] Ziir. N. D. Sch. Gs. 



22 (1867) 47 pp. 

 Surfaces, relationship, in Eiemann's sense. 



Lippich, F. [1873] Mth. A. 7 (1874) 212-. 

 Symmetric and periodic functions derived from 



algebraic function. Petrovitch, M. Bll. Sc. 



Mth. 20 (1896) 108-. 

 Theta functions, representation of quotient of 



two. Thomae, J. Mth. A. 6 (1873) 603-. 

 Transformation of functions, theory. Weber, H. 



Crelle J. 76 (1873) 345-. 



^t where Rl and * 2 belong to 



one Eiemann's surface. KriegvonHochfelden, 

 F. (Frhr.) Wien Ak. Sb. 94 (1887) (Ab. 2) 

 221-. 



3630 Expansions in series of func- 

 tions, other than powers of the 

 variable. 



Gomes Teixeira, F. Bll. Sc. Mth. 12 (1888) 



272-. 

 Algebraic expressions, expansion in a class of. 



AM, (Dr) M. Wien Ak. Sb. 52 (1866) (Ab. 2) 



453-. 



functions, cases. Deruyts, J. Brux. Ac. 

 Mm. 49 (1890-93) (No. 5) 20 pp. 



Analytic functions, expansion in given func- 

 tions. Frobenius, G. [1870] Crelle J. 73 

 (1871) 1-. 



, integral rational functions, case. 



Hilbert, D. Gott. Nr. (1897) 63-. 



, systems, and series formed with them. 



Pincherle, S. A. Mt. 12 (*1883-84) 11-, 107-. 



Arbitrary functions, expansion in given func- 

 tions. Lorenz, L. V. (xn) Ts. Mth. 6 

 (1876) 129-. 



powers of trigonometric functions. Sincov, 

 D. M. Kazan S. Ps.-Mth. Bll. 4 (1895) 199- ; 

 Fschr. Mth. (1895) 471. 



Bernoulli's functions, expansion in. Eogel, F. 



Prag Sb. (1896) (Mth.-Nt.) No. 31, 48pp. 

 with fractional indices. Sincov, D. Kazan 



S. Nt. (Ps.-Mth.) P. 8 (1890) 291- ; Fschr. 



Mth. (1890) 443-. 



297 



