3240 



investigation. Strong, T. Silliman J. 45 



JL843) 269-. 

 Lagrange's series. Picart, A. N. A. Mth. 

 13 (1874) 69-. 



, successive approximation. Bugaev, 



N. V. [1895] Bee. Mth. (Moscou) 18 (1896) 

 586- ; Fschr. Mth. (1896) 70, 71-. 



its limit. Whitcom, A. W. Des Moines 

 Anal. 4 (1877) 137-. 



limits. Poisson, S. D. Liouv. J. Mth. 3 



(1838) 4-. 

 and Maclaurin's series. Bourget, J. N. A. 



Mth. 9 (1870) 537-. 



, analogues to. Clapeyron, E., & 

 Lame, G. Crelle J. 6 (1830) 40-. 



, combination. Young, J. E. Ph. Mg. 



32 (1848) 98-. 

 , convergence. Lamarle, E. Liouv. 



J. Mth. 12 (1847) 305-. 

 , limits. Gamier, J. G. Quetelet 



Cor. Mth. 2 (1826) 89-. 

 phoronomic interpretation. Mobius, A. F. 



Leip. B. 1 (1846) 79-. 

 practical forms and nautical applications. 



Rouyaux, J. A, Bv. Mar. et Col. 56 (1878) 



127-, 440-. 



reduced forms. Eouyaiix, J. A. C. B. 84 

 (1877) 1014-. 



property of coefficients. Harnack, A. Mth. A. 



13 (1878) 555-. 

 region of possible summation. Borel, E. C. B. 



123 (1896) 548-. 

 remainder. Ampere, A. M. Par. EC. Pol. J. 



6 (1806) 148- ; Gergonne A. Mth. 17 (1826-27) 



317-. 



. Jiirgensen, C. Crelle J. 17 (1837) 291-. 

 . Stamkart, F. J. Amst. Vs. Ak. 8 (1858) 



65-. 

 . Winckler, A. Schlomilch Z. 4 (1859) 



291-. 



. Jiirgensen, C. N. A. Mth. 19 (1860) 308-. 

 . Roche, E. N. A. Mth. 19 (1860) 311-. 

 . Winckler, A. [1867] Wien D. 28 (1868) 



(Ab. 1) 243-. 



. D g. Ts. Mt. Fys. 2 (1869) 74-. 

 . Glashan, J. C. Am. J. Mth. 4 (1881) 



282-. 

 . Mansion, P. Brux. Ac. Bll. 10 (1885) 



846-. 

 . Bruno de Cabedo, J. G. Teix. J. Sc. 10 



(1891) 13-; Fschr. Mth. (1890) 253. 

 . Ocagne, M. d'. Mathesis 11 (1891) 19-. 

 . Morera, G. Bv. Mt. 2 (1892) 36. 

 . Amigues, E. N. A. Mth. 12 (1893) 88-. 

 , and binomial theorem. Mansion, P. Brux. 



Ac. Bll. 8 (1884) 183-. 

 , development. Cauchy, A. L. C. B. 13 



(1841) 842-. 

 , form. Reynaud, . N. A. Mth. 2 (1863) 



, , for functions of imaginary variable. 



Mansion, P. Mathesis 6 (1886) 101-. 

 , new form. Peano, G. Mathesis 9 (1889) 



. Sonin, N. Ja. Vars. S. Nt. Tr. 



(Mm.) 2 (1892) No. 4, 17 pp. 

 remainders. Crelle, A. L. Berl. Ab. (1828) 1-. 



Taylor's Series; etc. 



3240 



and series of Cayley and Lagrange, simple 

 method of obtaining. Glashan, J. C. Am. 

 J. Mth. 4 (1881) 277-. 



singular points. Fabry, E. Liouv. J. Mth. 4 



(1898) 317-. 



, and Euler's transformation of a function 



denned by. Lindelof, E. C. B. 126 (1898) 

 632-. 



of a function defined by. Le Roy, . 



C. B. 127 (1898) 948-. 

 . Servant, . C. B. 128 



(1899) 80-. 



singularities. Borel, E. Par. S. Mth. Bll. 26 



(1898) 238-. 

 of a function denned by. Borel, E. C. B. 



127 (1898) 1001-. 



. Lean, L. Liouv. J. Mth. 



5 (1899) 365-. 

 summation, and definite integrals. Vernier, H. 



Gergonne A. Mth. 15 (1824-25) 165-. 

 , . Gergonne, J. D. Gergonne A. 



Mth. 15 (1824-25) 360-. 

 symbolic statement, generalisation. Graves, C. 



Ir. Ac. P. 5 (1853) 285-. 

 Taylor-Maclaurin series, conditions. Pascal, E, 



Bv. Mt. 5 (1895) 37-. 

 transformation. Jourjon, . C. B. 78 (1874) 



493. 

 transformed. Bougaief, N. U. C. B. 121 



(1895) 1127-. 

 treating the circle of convergence as section. 



Borel, E. Liouv. J. Mth. 2 (1896) 441-. 

 trigonometric series deduced from. Pfaff, J. W. 



[1808] St Pet. Ac. Sc. Mm. 3 (1809-10) 108-. 

 validity, conditions. Konig, G. [1883] (xn) 



Mth. Term. Ets. 2 (1884) 42- ; Mth. A. 23 



(1884) 450-. 

 , , for real variables. Pringsheim, A. 



D. Mth. Vr. Jbr. 3 (1894) 82-. 



, range. Du Bois-Reymond, P. Munch. Ak. 



Sb. 6 (1876) 225- ; Mth. A. 21 (1883) 253-. 

 with zero convergence-radius. Borel, E. C. B. 



128 (1899) 1281-. 



Tisserand's theorem (expansion of 



Stieltjes, T. J. (jun.). C. B. 95 (1882) 901-, 



1043- . 

 rith total derivative of function of any number 



of variables, general value. Branford, B.B.P. 



Mess. Mth. 28 (1899) 169-. 

 Total derivative of functions. Bettazzi, R. 



G. Mt. 26 (1888) 21-. 



Transcendental functions, approximation 

 formulae. Buzengeiger, K. H. J. Zach M. 



Cor. 24 (1811) 583-. 

 Transformation of system of independent 



variables. Fields, J. C. Am. J. Mth. 14 



(1892) 230-. 

 Utility equation, form. Francke, A. Hann. 



Archt.-Vr. Z. 38 (1892) 547-. 

 Wronski's problem. Lagrange, C. Brux. Obs. 



A. (As.) 1 (1896) 40 pp. 

 theorem. Cayley, A. QJ. Mth. 12 (1873) 



221-. 



