UNIVERSITY OF CALIFORNfit 

 SANTA BARBARA COLLEGE 



2815 Continued fractions 



for series. Eytelwein, J. A. Berl. Ab. (1820- 



21) 15-. 

 . Le Barbier, . Gergonne A. Mth. 21 



(1830-31) 262-. 



. Heine, H. E. Crelle J. 32 (1846) 205-. 



. Heilermann, . Crelle J. 33 (1846) 



174-. 



-. Hankel, H. Leip. B. 14 (1862) 17-. 



. Broman, K. E. Ts. Mt. Fys. 4 (1871) 



139-. 



. Mollame, V. [1882] Catania Ac. Gioen. 

 At. 17 (1883) 129-. 



. Gambioli, D. Bologna Ed. (1890-91) 



43-. . 



. Cebysev, P. St. Pet. Ac. Sc. Mm. (Es.) 



64 (1891) (Suppl.) No. 7, 67 pp. 



and similar functions. Meyer, F. Konigsb. 

 Schr. 38 (1897) [57]-. 



simple, convergence. Fade, H. C. E. 112 

 (1891) 988-. 



solution of continued fraction equation. Mol- 

 lame, V. Bv. Mt. 2 (1892) 212-. 



for solution of linear differential equation. 

 Laguerre, E. [1878-79] C. E. 87 (1878) 

 923- ; Par. S. Mth. Bll. 8 (1880) 21-. 



square roots. Ivory, J. [1800] Edinb. E. 

 S. T. 5 (1805) 20-. 



. Booth, J. Camb. Mth. J. 2 (1841) 



226-. 

 . De Morgan, A. (n Adds.) Camb. 



Mth. J. 2 (1841) 239-. 



. Schlomilch, 0. Grunert Arch. 6 



(1845) 147-. 

 (Schlomilch). Miiller, E. Grunert 



Arch. 6 (1845) 151-. 

 . Arndt, F. Crelle J. 31 (1846) 343- ; 



Grunert Arch. 12 (1849) 211-. 

 . Serret, J. A. Liouv. J. Mth. 12 



(1847) 518-. 



. Badon-Ghijben, J. [1864] Amst. 



Vs. Ak. 17 (1865) (Ntk.) 121-. 



. Weyr, Ernil. Prag Sb. (1869) 18-. 



. Schlomilch, O. Z. Mth. Ps. 17 



(1872) 70-. 



. Weyr, Ed. Prag Sb. (1877) 65-. 



. Hermes, J. [1879] Arch. Mth. Ps. 



65 (1880) 438-. 



. Gunther, S. [1882] Bordeaux S. 



Sc. Mm. 5 (1883) 91-. 



. Muir, T. Mess. Mth. 14 (1885) 115-. 



. Thaarup, F. N. TS. Mth. 11 (A) 



(1900) 33-. 

 , and factors. Kausler, C. F. [1807] 



St Pet. Ac. Sc. Mm. 2 (1810) 95-. 

 , periodicity. Crelier, L. Arch. Sc. 



Ps. Nt. 6 (1898) 366-. 

 "step" fractions. Gohierre de Longchamps, 



. G. Mt. 15 (1877) 299-. 

 successive approximations. De Morgan, A. 



Camb. Mth. J. 4 (1845) 97-. 

 summation. Stern, M. A. Crelle J. 8 (1832) 



42-. 



of series by. Homer, W. G. Thomson A. 

 Ph. 11 (1826) 416- ; 12 (1826) 48-. 



symmetric, convergents. Musso, G. N. A. 



Mth. 14 (1895) 70-. 

 in " Theoria Motus," pp. 97-98. Eamus, C. 



Mth. Ts. 1 (1859) 129-. 



Indeterminate equations 2815 



and theory of numbers. Catalan, E. Brux. 



Ac. Mm. 52 (1893-94) No. 1, 28 pp. 

 Wallis's. Euler, L. [1780] St Pet. Ac. Sc. 



Mm. 5 (1815) 24-. 



for f|^Y^ Laguerre, E. [1879] Par. S. 

 Mth. Bll. 8 (1880) 36-. 



(x-a) a (x-bf. Fuchs, L. Acta Mth. 4 

 (1884) 89-. 



(x-a) a (jr-b)0. Hermite, C. Acta Mth. 

 4 (1884) 91-. 



in 



r m 



m + 1 - m 



~w" + l-etc. Schulten, N. G. 

 af (fil.) [1844] Helsingf. Acta 2 (1847) 629-. 



:p7-s o etc - Amoretti, F. N. A. Mth. 14 



JL -t- & -f- o + 



(1855) 40-. 



fT2+~ 3T 6tC ' S P itzer > s - Grunert Arch. 

 25 (1855) 137-. 



^r (Legendre). Cata- 



z+ z + l+ z + 2 + 



Ian, E. C. Liege S. Sc. Mm. 13 (1886) 

 205-. 



INDETEEMINATE EQUATIONS. 



Bouniakowsky, V. [1829] St Pet. Ac. Sc. 



Mm. 1 (1831) 139-. 

 Poselger, F. T. Berl. Ab. (1832) 1-. 

 Cauchy, A.L. C. E. 12 (1841) 698-, 813-. 

 Bouniakowsky, V. [18471 St Pet. Ac. Sc. Bll. 



6 (1848) 196-. 

 Lebesgue, V. A. N. A. Mth. 8 (1849) 81-, 



347-. 



Wheeler, A. D. Camb. (M.) Mth. M. 2 (1860) 

 v 21-, 55-, 193-, 398-. 



Simerky [Simerka], V. Prag Ab. 12 (1863) 193-. 

 Lebesgue, V. A. N. A. Mth. 8 (1869) 452-. 

 Catalan, E. Brux. Ac. Bll. 9 (1885) 531-. 

 Weill, . N. A. Mth. 4 (1885) 189-. 

 Jonquieres, E. de. G. Mt. 24 (1886) 1-. 

 Cordone, G. G. Mt. 33 (1895) 106-, 218-. 

 Maillet, E. Toul. Ac. Sc. Mm. 7 (1895) 179-. 

 binary form, least integral value. Paoli, P. 



[1801] Mod. S. It. Mm. 9 (1802) 85-. 

 class. Palmstrpm, A. Christiania Skr. (Mth.- 



NH. Kl.) (1899) No. 7, 10 pp. 

 Diophantine analysis, advance. Euler, L. St 



Pet. Ac. Sc. Mm. 11 (1830) 1-. 

 , elliptic and Abelian integrals, use in. 



Jacobi, C. G. J. Crelle J. 13 (1835) 353-. 

 , geometric problem solved by. Euler, L. 



[1782] St Pet. Ac. Sc. Mm. 7 (1820) 3-. 

 by integral calculus. Bouniakowsky, V. 



[1852J St Pet. Ac. Sc. Bll. 11 (1853) 65-. 

 , problems. Fuss, N. [1820] St Pet. Ac. 



Sc. Mm. 9 (1824) 151-. 



equation. Davis, E. F. Edinb. Mth. S. 

 P. 3 (1895) 179-. 



equations. Hilbert, D. Gott. Nr. (1897) 

 48-. 



, irreducible, limit of roots. Wirtinger, W. 



Mb.. Mth. Ps. 1 (1890) 47-. 



201 



