4060 Abel's Theorem 



Rowe, E. C. [1880] Phil. Trans. 172 (1 882) 713-. 

 Craig, T. L. Mth. S. P. 12 (1880-81) 89-. 

 Humbert, G. G. B. 103 (1886) 919-. 

 Dixon, A. C. QJ. Mth. 22 (1887) 200-. 

 Koenigsberger, L. Crelle J. Mth. 100 (1887) 



121- ; 101 (1887) 1-. 



Pszeborsky, A. P. Fschr. Mth. (1898) 369-. 

 and Abelian functions. Forsyth, A. E. [1882] 



Phil. Trans. 174 (1884) 323-. 

 application. Brioschi, F. C. B. 94 (1882) 686-. 

 and some applications. Beltrami, E. Mil. I. 



Lomb. Ed. 13 (1880) 327-. 

 applications, elementary. Lubbock, J. W. 



Ph. Mg. 6 (1835) 116-. 

 to geometry. Rink, H. J. Arch. N6erl. 17 



(1882) 460-. 

 and some applications to geometry. Humbert, 



G. Liouv. J. Mth. 3 (1887) 327- ; 5 (1889) 



81-; 6 (1890) 233-. 

 demonstration. Jacobi, C. G. J. Crelle J. 24 



(1842) 28-. 

 . Lejeune-Dirichlet, G. Liouv. J. Mth. 7 



(1862) 253-. 

 . Harnack, A. Erlang. Ps. Md. S. Sb. 7 



(1875) 96-. 



. Weber, H. Mth. A. 8 (1875) 49-. 

 differential equations. Landsberg, G. [1898] 



D. Mth. Vr. Jbr. 7 (1899) (Heft 1) 56-. 

 extension. Brioschi, F. Mil. G. I. Lomb. 8 



(1856) 333-. 

 formulae, development. Dillner, G. Gott. Nr. 



(1876) 29-. 



generalisation to skew curve. Poincare, H. 



C. B. 100 (1885) 40-. 

 generalised, existence. Koenigsberger, L. 



Crelle J. Mth. 102 (1888) 224-. 

 geometrical interpretation of. Klein, F. Mth. 



A. 28 (1887) 533-. 

 in a new form. Pokrovskij, P. M. [1898] 



Bee. Mth. (Moscou) 20 (1899) 299-. 

 and surface generated by translation of curves. 



Lie, S. C. B. 114 (1892) 277-. 

 and trigonometric formulas deduced there- 

 from. Baehr, G. F. W. [1880] Amst. Ak. 



Vs. M. 16 (1881) 195- ; Arch. Neerl. 16 (1881) 



116. 



Algebraic differentials. Harnack, A. A. Mt. 



9 (1878-79) 302-. 

 in homogeneous coordinates. Harnack, A . 



Mth. A. 9 (1876) 371-. 

 integrals, class. Minding, E. F. A. Crelle 



J. 10 (1833) 195-, 292. 

 , inversion, case. Dillner, G. Stockh. 



Ofv. (1885) No. 4, 3-; Fschr. Mth. (1885) 



378. 

 Arithmetico-geometric mean of 4 elements. 



Borchardt, C. W. Berl. Ak. Ab. (1878) 



(Mth.) 33-. 

 . Hettner, G. Crelle J. Mth. 



89 (1880) 221-. 

 Binomial integrals, theory. Pick, G. [1886] 



Wien Ak. Sb. 94 (1887) (Ab. 2) 372-. 

 Differential expressions, reduction to normal 



form. Noether, M. Erlang. Ps. Md. S. Sb. 



16 (1884) 18-, 23-, 84- ; 18 (1886) 18-. 



Abelian Integrals 4060 



Double-point, accessory reduction in number of 

 periods due to. Marie, M. C. B. 76 (1873) 

 865-. 



planes of genus 1. Enriques, F. Bm. 

 S. It. Mm. 10 (1896) 201-. 



Doubly periodic functions given by 



Bouquet, J., <& Briot, . C. B. 40 (1855) 



342-. 

 --- of 2nd kind, generalisation. Appell, P. 



Liouv. J. Mth. 9 (1883) 5-. 

 Elliptic and hyper-elliptic functions, approxi- 



mation method. Merrifield, C. W. Phil. 



Trans. (1860) 223-; (1862) 417-. 

 Forms connected with algebraic configuration. 



Pick, G. Mth. A. 50 (1898) 381-. 

 Functions analogous to theta functions. Elliot, 



Z. C. B. 93 (1881) 1008- ; Par. EC. Norm. 



A. 11 (1882) 79-, 425-. 



having an Abelian integral as logarithmic 

 derivative. Fulco, P. Catania Ac. Gioen. 

 At. 13 (1900) Mem. 14, 24 pp. 



whose logarithms are sums of Abelian in- 

 tegrals of 1st and 3rd kinds. Appell, P. C.B. 

 92 (1881) 960-. 



with multiple periods. Casorati, F. C. B. 

 58 (1864) 127-, 204-. 



of one variable, with any number of 

 periods. Casorati, F. Acta Mth. 8 (1886) 

 345-. 



Hyperabelian functions. Picard, E. Liouv. J. 



Mth. 1 (1885) 87-. 

 -- , class. Bourget, H. C. B. 124 (1897) 



1428-. 

 Hyperelliptic analogue, general, of function 



{). Bolza, 0. Gott. Nr. (1894) 269-. 



curves. Bobek, K. Prag Ab. 1 (1886) No. 1, 

 27-. 



-- , genus >1. Kupper, K. Prag Sb. (1896) 



(Mth.-Nt.) No. 43, 11 pp. 

 -- , order 3, genus arbitrary. Kilpper, C. J. 



Prag Ab. 1 (1886) No. 1, 26 pp. 



, C n p with special systems g^ } , g^ . 

 Kilpper, K. Prag Ab. 3 (1890) No. 4, 18 pp. 



-- , CJj with 13 given double points, system. 

 KUpper, C. Prag Sb. (1898) (Mth.-Nt.) No. 1, 

 7 pp. 



differential equations, integration. Jacobi, 

 C. G. J. Crelle J. 32 (1846) 220-. 



--- , . Weierstrass, C. Berl. Mb. (1862) 

 127-. 



differentials, integration by logarithms. 

 Pick, G. A. Wien Ak. Sb. 85 (1882) (Ab. 2) 

 643-. 



equations, integration. Brioschi, F. Crelle 

 J. 55 (1858) 56-. 



, invariant. Brun, F. de. Stockh. Ofv. 

 (1897) 173- ; Fschr. Mth. (1897) 400-. 



>- formulae. Brioschi, F. C. B. 102 (1886) 

 239-, 297-. 



modular functions. Burkhardt,H. Mth. A. 

 36 (1890) 371- ; 38 (1891) 161- ; 41 (1893) 

 3 13-. 



multiplicator equation. BurkJiardt, H. 

 Gott. Nr. (1889) 553-. 



334 



