4060 Abellan Functions 



application to Weddle quartic surface. Caspary, 

 F. Bll. So. Mth. 15 (1891) 308-. 



bisection. Brioschi, F. C. B. 70 (1870) 504- ; 

 Em. At. E. Ac. 24 (1870-71) 47-. 



problem. Tauber, A. Mh. Mth. Ps. 7 

 (1896) 97-. 



calculation by repeated transformations. Riche- 

 lot, F. J. As. Nr. 13 (1836) 361-. 



of 1st class. Pokrovskij, P. M. Eec. Mth. 

 (Moscou) 13 (1886) 245-, 409-. 



class p. Ahlborn, F. H. H. Hamb. Mth. 

 Gs. Mt. 1 (1889) 80-. 



class, and a hyperfuchsian group. Picard, E. 



C. E. 98 (1884) 289-. 

 classification. Burkhardt, H. Mth. A. 35 



(1890) 198-. 

 complex multiplication. Humbert, G. C. E. 



127 (1898) 857-. 



connected with characteristic equations of sym- 

 metrical plane surfaces. Schottky, F. Crelle 



J. Mth. 106 (1890) 199-. 

 differential equations integrable by. Minich, 



S. E. Yen. Mm. I. 3 (1847) 269-. 

 and differential expressions, theory. Noether, 



M. Mth. A. 37 (1890) 417-, 465-. 

 division. Hermite, C. [1843] Par. Mm. Sav. 



Etr. 10 (1848) 563-. 



(Hermite). Liouville, J. Liouv. J. Mth. 

 8 (1843) 502-. 



. Jordan, C. C. E. 70 (1870) 1028-. 

 , equations. Jordan, C. Mth. A. 1 



583-. 

 , priority claim. Libri, G. C. E. 17 (1843) 



431-, 546-. 

 and elliptic functions. Eisenstein, G. Crelle 



J. 27 (1844) 185-. 



or elliptic functions, class of differential equa- 

 tions integrable by. Fuchs, L. [1877] Gott. 



Nr. (1878) 19-. 

 especially of 3rd order, theory. Pringsheim, A. 



Mth. A. 12 (1877) 435-. 

 expansion in trigonometric series, application 



of integrals of factorial functions to. Appell, 



P. Acta Mth. 13 (1890) 174 pp. 

 generalisation. Picard, E. C. E. 98 (1884) 



665-. 

 of genus p = 2, Borchardt's moduli. Eeichardt, 



W. Mth. A. 28 (1887) 84-. 

 3. Amstein, H. Laus. S. Vd. Bll. 24 



(1889) 99-; 25 (1890) 133-. 



. Wirtinger, W. Mth. A. 40 (1892) 



261-. 

 , algebraic relations between. Brunei, 



G.E.A. Par. EC. Norm. A. 12 (1883) 199-. 

 historical development to Eiemann's time. 



Hancock, H. B. A. Ep. (1897) 246-. 

 inversion problem. Noether, M, Mth. A. 28 



(1887) 354-. 

 1st kind, algebraic relations between. Caspary, 



F. Par. EC. Norm. A. 10 (1893) 253-. 



, for p=2. Pascal, E. A. Mt. 18 



(1890) 131-. 



2nd kind, reduction. Goursat, E. C. E. 100 



(1885) 622-. 

 linear relations between 2p circuits of 1st and 



2nd kinds. Schlafli, L. Crelle J. 76 (1873) 



149-. 



Abelian Functions 4060 



mechanical problems depending on. Charlier, 



C. V. L. [1888] St Pet. Ac. Sc. Bll. 33 

 (1890) 9-. 



1st order. Richelot, F. J. Crelle J. 12 (1834) 



181-. 

 . Krause, M. Crelle J. Mth. 98 (1885) 



148-. 

 . Brioschi, F. A. Mt. 14 (1886-87) 



241-. 

 , algebraic relations. Brioschi, F. Em. 



E. Ac. Line. T. 7 (1883) 137-. 

 , differential equation of periods. Konigs- 



berger, . [1868] Mth. A. 1 (1869) 165-. 

 , modular equations. Krause, M. [1881] 



Mth. A. 19 (1882) 423-, 489-. 

 , for transformation of 3rd degree. 



Krause, M. [1881] Mth. A. 19 (1882) 103-. 

 , 5th degree. Krause, M. 



Mth. A. 20 (1882) 226-. 



, multiplication. Krause, M. Mth. A. 

 17 (1880) 448-. 



, multiplicator. Krause, M. Acta Mth. 



3 (1883) 283-. 

 -, equations. Krause, M. Mth. A. 20 



(1882) 54-. 

 , theory. Gopel, A. Crelle J. 35 (1847) 



277-. 



, transcendents of 2nd and 3rd kinds. 

 Weber, H. Crelle J. Mth. 82 (1877) 131-. 



, transformation. Kdnigsberger, . 

 [1864-66] Crelle J. 64 (1865) 17- ; 65 (1866) 

 335- ; 67 (1867) 58-, 97-. 



, . Brioschi, F. Em. E. Ac. Line. 



Ed. 1 (1885) 315-. 

 , of 2nd degree. Pringsheim, A. Mth. 



A. 9 (1876) 445-. 

 , 5th degree. Krause, M. [1879] 



Mth. A. 16 (1880) 83-. 

 , , linear. Krause, M. Mth. A. 17 



(1880) 435-. 

 any order, Gopel's relation. Brioschi, F. 



A. Mt. 10 (1880-82) 161-. 

 order n, algebraic relations between. Brios- 

 chi, . C. E. 99 (1884) 889-, 951-, 



1050-. 

 p = 2, periods, differential relations between. 



Brioschi, F. Crelle J. Mth. 116 (1896) 



326-. 

 = , transformation, and importance for 



Rummer's surface. Rohn, K. Mth. A. 15 



(1879) 315-. 

 properties. Brioschi, F. [1857] Tortolini A. 



1 (1858) 12-, 20-. 

 questions of reality regarding. Klein, F. Gott. 



Nr. (1892) 310-. 

 of 4th rank, special. Schottky, F. Crelle J. 



Mth. 103 (1888) 185-. 

 relations between derivatives with parameters 



and arguments. Wiltheiss, E. Crelle J. 



Mth. 99 (1886) 236-. 

 Eiemann's lectures, 1861-62. Noether, M. 



D. Mth. Vr. Jbr. 8 (1900) (Heft 1) 177-. 

 series for. WiWieiss, E, Mth. A. 31 (1888) 



410-. 

 singular. Humbert, G. Liouv. J. Mth. 5 



(1899) 233-; 6 (1900) 279-. 

 theorems. Minich, S. R. Yen. At. 6 (1847) 



130-. 



330 



