4050 



Cayley, A. Phil. Trans. 169 (1878) 419-. 

 Klein, C. F. L. Mth. S. P. 9 (1877-78) 123- ; 

 11 (1879-80) 151- ; Mth. A. 14 (1879) 



Krause, M. Acta Mth. 3 (1883) 93- ; Leip. 



Mth. Ps. B. 38 (1886) 39-. 

 Cayley, A. Am. J. Mth. 9 (1887) 193- ; 10 



(1888) 71- ; QJ. Mth. 24 (1890) 259-. 

 Hermite, C. Palermo Cir. Mt. Ed. 5 (1891) 



155- ; Toul. Fac. Sc. A. 6 (1892) L, 13 pp. 

 Brodtn, T. Lund. Un. Acta 30 (1893-94) (S. 



Psgr., No. 2) 24 pp. 

 Brioschi, F. A. Mt. 22 (1894) 313-. 

 Beer, F. Arch. Mth. Ps. 14 (1896) 113-. 

 Krause, M. D. Mth. Vr. Jbr. 4 (1897) 121-. 

 Valle, G. Em. N. Line. Mm. 17 (1900) 



81-. 

 algebraic, of doubly periodic functions. Velt- 



mann, W. Z. Mth. Ps. (Suppl.) 29 (1884) 



73-. 

 annihilator, G-function. Griffiths, J. L. Mth. 



S. P. 20 (1889) 248-. 

 annihilates. Griffiths, J. L. Mth. S. P. 18 



(1886-87) 164-, 377-. 

 case. Malet, J. C. [1873] QJ. Mth. 13 (1875) 



278-. 

 . Valle, G. Tor. Ac. Sc. At. 26 (1891) 



236-. 

 of compound degree, modular equations in. 



Gierster, J. [1878] Mth. A. 14 (1879) 



537. 

 cubic. Cayley, A. Ph. Mg. 15 (1858) 363-; 



C. E. 64 (1867) 560-. 

 , geometrical illustration. Cayley, A. QJ. 



Mth. 13 (1875) 211-. 

 , Jacobian formula for. Faa de Bruno, 



(I'abbe) . Am. J. Mth. 10 (1888) 169-. 

 where degree is composite. Kiepert, L. Mth. 



A. 32 (1888) 1-. 

 of 5th degree, moduli and their complements 



useful for, relations between. Pokrovskii, 



P. M. [1881] (xn) Eec. Mth. (Moscou) 10 



(1882-83) (Pt. 1) 63-. 



diagram. Cayley, A. B. A. Ep. (1881) 534. 

 differential equations satisfied by modulus and 



multiplier in. Valle, G. Tor. Ac. Sc. At. 



25 (1890) 114-. 

 and division. Morera, G. Leip. Mth. Ps. B. 



37 (1885) 302- ; Mth. A. 25 (1885) 203-. 



. Kiepert, L. Mth. A. 26 (1886) 369-. 



. Greenhill, A. G. [1894] L. Mth. S. P. 



27 (1896) 403-. 

 , of 3rd -order. Bolza, O. Mth. A. 50 



(1898) 68-. 

 of doubly periodic functions, discriminant. 



Biermann, 0. Wien Ak. Sb. 109 (1900) (Ab. 



2a) 849-. 

 elliptic functions with imaginary modulus. 



Lacour, E. Par. EC. Norm. A. 15 (1898) 



455-. 

 of 1st kind. Baehr, G. F. W. 



Grunert Arch. 33 (1859) 354-. 

 2nd and 3rd kinds, general theorem. 



Abel, N. H. Crelle J. 3 (1828) 402. 

 , 3rd order. Hermite, C. [1861] 



Crelle J. 60 (1862) 304. 

 integrals. Brioschi, F. Tortolini A. 3 



(1860) 216-. 



Elliptic Functions, Transformation 



4050 



of elliptic integrals. Lerch, M. Casopis 13 



(1884) 140- ; Fschr. Mth. (1884) 402. 

 , application to spherical trigonometry. 



Ruudl, E. QJ. Mth. 20 (1885) 378-. 

 of 2nd kind. Hermite, . Prag Ab. 



2 (1888) No. 12, 7 pp. 

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



Ed. 1 (1864) 46-. 

 to Weierstrass's form. Pittarelli, G. 



Em. E. Ac. Line. Ed. 4 (1888) (Son. 1) 



703-. 

 equations, class. Westlund, J. Am. J. Mth. 



21 (1899) 339-. 

 expression for number of classes. Seguier, 



de. C. E. 118 (1894) 1407-. 

 formula. Brioschi, F. C. E. 79 (1874) 1065- ; 



80 (1875) 261-. 

 formulae. Hermite, C. C. E. 46 (1858) 171- ; 



Liouv. J. Mth. 3 (1858) 26-. 

 integral. Cayley, A. Camb. and Dubl. Mth. 



J. 3 (1848) 286- ; QJ. Mth. 1 (1857) 4-. 

 invariant, of elliptic integrals. Eaffy, L. Par. 



S. Mth. Bll. 12 (1884) 51-. 

 of Jacobi of elliptic functions F when p = B, 



geometric construction. Roberts, W. (vni) 



A. Mt. 5 (1863) 225-. 

 Kiepert's L-equations in. Cayley, A. Mth. A. 



30 (1887) 75-. 

 linear. Cayley, A. L. Mth. S. P. 8 (1877) 



226-. 

 . Eausenberger, 0. Crelle J. Mth. 91 (1881) 



335-. 

 , of theta functions. Cayley, A. Mess. Mth. 



18 (1884) 54- ; QJ. Mth. 21 (1886) 77-. 

 , . Kinn, G. A. [1900] Mth. Nt. B. 



Ung. 18 (1903) 52-. 

 , , constants. Thomae, C. J. Gott. 



Nr. (1883) 194-. 

 , , determination of constant factors 



in. Sochocki, J. Par. T. Nauk Sc. Pam. 10 



(*1878) Art. 1, 37 pp. ; Fschr. Mth. (*1878) 



315. 

 , and Gaussian sums. Landsberg, G. 



Crelle J. Mth. Ill (1893) 234-. 

 modular equation in. Valle, G. Tor. Ac. Sc. 



At. 24 (1889) 374-. 



equations for. Sohncke, L. A. Crelle J. 12 

 (1834) 178 ; 16 (1837) 97-. 



, Lagrange's. Brassinne, E. Toul. Mm. Ac. 



6 (1850) 252-. 

 of modulus, deductions from formulae. Meyer, 



U. H. Grunert Arch. 17 (1851) 85-. 

 and numerical calculation of elliptic integrals 



of 1st, 2nd, and 3rd kinds. Weiner, I. 



Briinn Vh. 5 (1866) (Ab.) 82-. 

 of 3rd order, modular equation for. Smith, 



H. J. S. L. Mth. S. P. 10 (1878-79) 87- 

 , , geometrical interpretation. 



Humbert, G. Par. S. Mth. Bll. 26 (1898) 



233-. 



7th order. Klein, C. F. [1878] Mth. A. 14 

 (1879) 428-. 



. Cayley, A. As. Fr. C. E. (1887) 



(Pt. 2) 211-. 

 , formation of reduced form of mul- 



tiplicator equation. Joubert, (le pere) C. 



(xn) Brux. S. Sc. A. 3 (1879) (Pt. 2) 157-. 



328 



