4040 Elliptic and Single Theta Functions 



Picard, E. C. E. 89 (1879) 



4040 



applications. 



74-. 

 . Stouff, X. N. A. Mth. 15 (1896) 



262-. 

 . Sparre, (le comte) de. Par. S. Mth. Bll. 



28 (1900) 52-. 



of Abel's theorem. Vries, J. de. Amst. 

 Ak. Vs. 4 (1896) 96-. 



to celestial mechanics. Liouville, J. Liouv. 

 J. Mth. 1 (1836) 445-. 



discontinuous functions. Bugaev, N. V. 



(xn) Bee. Mth. (Moscou) 11 (1883-84) 201-, 

 415-, 515- ; 12(1885) 3-. 



of formulae of spherical trigonometry. 

 Boklen, 0. Grunert Arch. 40 (1863) 27-. 



to functions differing very little from zero. 

 Zolotarev, E. St Pet. Ac. Sc. Mm. (Es.) 

 30 (1877) (Sappl.) No. 5, 71 pp. 



, geometric. Pact, P. G. Mt. 12 (1874) 



93-, 97-. 

 , . Ahlborn, H. Hamb. Mth. Gs. Mt. 



1 (1889) 63. 



to maxima and minima. Zolotarev, E. I. 

 [1877] St Pet. Ac. Sc. Bll. 24 (1878) 

 305-. 



mechanics. Padova, E. Yen. I. At. 



(1889-90) 547-. 

 motion of body. Padova, E. Ven. I. 



At. (1889-90) 437-. 

 problem in geometry. Boyd, J. H. A. 



Mth. 6 (1891-92) 93-, 163-. 



problems of mean values. Mukhopadhyay, 

 A. [1888] Beng. As. S. J. 58 (Pt. 2) (1890) 

 199-, 213-. 



corresponding to function cos x + i sin x. Le- 



monnier, H. Par. EC. Norm. A. 4 (1875) 



371- ; 6 (1877) 79-. 

 deduction of g-series from g-products. Glaisher, 



J. W. L. Mess. Mth. 16 (1887) 133-. 

 and definite integrals, and infinite series. 



Lerch, M. Prag Ceske Ak. Fr. Jos. Ez. 



(Tfida 2) 1 (1892) Art. 8, 11-, Art. 25, 6 pp.; 



2 (1893) Art. 23, 42 pp.; 4 (1895) Art. 1, 



55 pp.; Fschr. Mth. (1892) 445; (1893-94) 



791- ; (1895) 501-. 

 definition. Varicak, V. N. A. Mth. 14 (1895) 



14-. 

 of 2nd degree. Folk, M. Ups. S. Sc. N. Acta 



16 (1893) No. 1, 30 pp. 

 derivation. Verdam, G. J. Amst. I. (1842) 



57-. 

 differential equation in. Cayley, A. Mess. 



Mth. 4 (1875) 69-, 110- ; 6 (1877) 29. 



involving. Palmstrflm, A. Berg. Ms. 

 Aarb. (1894-95) No. 14, 16 pp. 



, new. Brioschi, F. Mil. I. Lomb. Ed. 



10 (1877) 417-. 



equations in. Genocchi, A. [1864] Tor. 

 Mm, Ac. 23 (1866) 223-. 



for periods. Brioschi, F. A. Mt. 14 



(1886-87) 238-. 

 satisfied by K, E, etc. Kleiber,J. Mess. 



Mth. 18 (1889) 167-. 



relations. Martins da Silva, J. A. G. 

 Teix. J. Sc. 6 (1885) 169-. 



differentiation with regard to modulus. 

 Hermite, C. [1879] As. Nr. 96 (1880) 

 321-. 



of theory of binary forms. Faa de Bruno, formulae arising from. Wilkin- 



F. Am. J. Mth. 5 (1882) 1-. 8OW) 3/ . M . fj. L . Mth . S . P . 13 (1881-82) 



to theory of equations of higher degree. 212- 



Konig, G. (xn) Mag. Tud. Ak. Etk. (Mth.) ! O r function of modulus. Bierens 



[1] (No. 8) (1871) 34 pp. de Haatli D . Amst . Ak . V h. 18 (1879) 33 pp.; 



numbers. Joubert, P. C. E. 50 Arch. Neerl. 15 (1880) 225-. 



(1860) 774-, 832-, 907-, 1040-, 1095-, periods and invariants. Frobenius, 



1145-. 

 . Nazimov, P. S. Mosc. Un. 



Mm. (Ps.-Mth.) 5 (1885) 67-; Par. EC. 



Norm. A. 5 (1888) 23-, 147-. 

 perturbations. Gylden, J. A. H. 



Liouv. J. Mth. 2 (1876) 411-. 

 twisted quartics. Mathews, G. B. L. 



Mth. S. P. 19 (1889) 507-. 

 trajectory. Gossot . Ev. Mar. et Col. 



105 (1890) 225-, 417-. 

 and binary quartics, connection. Study, E. 



Am. J. Mth. 17 (1895) 216-. 

 calculation, approximate. Verhulst, P. F. 



Brux. Ac. Bll. 6 (1839) (pte. 2) 424-. 

 cases. Schlomilch, 0. Schlomilch Z. 2 (1857) 



49-; Liouv. J. Mth. 2 (1857) 43-. 

 of St Venant's problem integrable by. 



Noccioli, G. N. Cim. 33 (1893) 208-. 

 and circular functions, continued fractions for. 



Malmsten, C. J. Camb. and Dubl. Mth. J. 



4 (1849) 286. 

 class of integrals related to. Eamus, C. Kiob. 



Ov. (1835-36) 4-. 

 and complex variable. Herrmann, 0. Z. Mth. 



Ps. 28 (1883) 193-, 257-. 

 construction for amplitudes. Chasles, M. C. 



E. 19 (1844) 1239-. 



G. t & St'ickelberger, L. [1881] Crelle J. 



Mth. 92 (1882) 311-. 

 and equation of 4th order. Pellet, A. E. Par. 



S. Mth. Bll. 14 (1886) 90-. 

 especially elliptic arc, relations of curve of 



elasticity. Bender, C. Arch. Mth. Ps. 60 



(1877) 117-. 

 and Eulerian integrals. Lerch, M. Prag Sb. 



(1897) (Mth.-Nt:) No. 28, 11 pp. 

 evaluation of definite integrals by. Roberts, W. 



Liouv. J. Mth. 11 (1846) 157-. 

 existence domain, determination. Lerch, M. 



Mh. Mth. Ps. 11 (1900) 107-. 

 expansion. Nicolls, W. [1883] Ir. Ac. T. 



28 (1880-86) 267-. 

 . Jack, J. Edinb. Mth. S. P. 14 (1896) 



35-. 



as continued fractions. Rogers, L. J. L. 

 Mth. S. P. 19 (1889) 550-. 



of imaginary period when modulus is small 

 enough. Schlafli, L. A. Mt. 3 (1869-70) 

 243-. 



in increasing powers of variable. Hermite, C. 

 [1875] Crelle J. Mth. 81 (1876) 220-. 



power series. Krause, M. Leip. Mth. 



Ps. B. 46 (1894) 30-. 



314 



