3240 



Taylor's Series 



3240 



TAYLOK'S SEEIES. 



S., W. Tilloch Ph. Mg. 29 (1807) 211-. 

 Adams, Jas. Thomson A. Ph. 15 (1820) 99-. 

 Wilmot, E. QJ. Sc. 17 (1824) 74-. 

 De Morgan, A. (vi Adds.) Ph. Mg. 7 (1835) 



188-. 



Liouville, J. Liouv. J. Mth. 2 (1837) 483-. 

 Smith, Arch. Camb. Mth. J. 1 (1839) 143-. 

 Caque, J. Liouv. J. Mth. 10 (1845) 379-. 

 Schlomilch, 0. N. A. Mth. 11 (1852) 177-. 

 Mainardi, G. Mil. At. I. Lomb. 1 (1858) 90-. 

 (Mainardi.) Bellavitis, G. Ven. At. (1857-58) 



623-; (1858-59)334-. 

 Roche, E. Mntp. Ac. Sc. Mm. 4 (1858-60) 



125-. 



Schlomilch, O. Liouv. J. Mth. 3 (1858) 384-. 

 Turquan, . N. A. Mth. 2 (1863) 19-. 

 Roche, E. C. E. 58 (1864) 379-. 

 Wilkinson, M. M. U. Mess. Mth. 1 (1872) 36-, 



135-. 



Picart, A. t N. A. Mth. 13 (1874) 15-, 353-. 

 Amigues, E. N. A. Mth. 19 (1880) 105-. 

 Bruno de Cabedo, J. G. Teix. J. Sc. 7 (1886) 



145-. 



Peano, G. Tor. Ac. Sc. At. 27 (1892) 40-. 

 Borel, E. C. K. 123 (1896) 1051- ; Acta Mth. 



21 (1897) 243-. 

 Fabry, E. C. E. 124 (1897) 142- ; 125 (1897) 



1086. 

 analogue with operator K=xdy/ydx. Zehfuss, 



G. Grunert Arch. 30 (1858) 465-. 

 analytic continuation. Borel, . Par. S. Mth. 



Bll. 28 (1900) 200. 

 and analytic functions with restricted existence 



domain. Pringsheim, A. [1892] Mth. A. 42 



(1893) 153-. 

 application. Poisson, S. D. Par. EC. Pol. Cor. 



2 (1809-13) 81-. 

 . Bergsten, N. J. Stockh. Ac. Hndl. 35 



(1814) 135-. 

 , and some definite integrals. Mildner, R. 



Arch. Mth. Ps. 9 (1890) 285-. 

 and application to resolution of algebraic 



fractions. Schellbach, C. H. Crelle J. 11 



(1834) 274-. 

 applications, etc. Buquoy, G. von. Gilbert A. 



44 (1813) 106- ; Oken Isis (1826) 244-, 666- ; 



(1827) 801-. 

 with approximation of third degree. Bougaief, 



N. C. E. 122 (1896) 369-. 

 as basis of calculus of functions. Poselger, 



F. T. Berl. Ab. (1835) 311-. 

 and binomial expansion, with other applica- 

 tions. Gourieff, S. [1799] St Pet. Ac. Sc. 



N. Acta 14 (1805) 306-. 

 conditions for functions of a real variable. 



Pringsheim, A. Mth. A. 44 (1894) 57-. 

 convergence. Tchebiche/, P. Crelle J. 28 



(1844) 279-. 



. Lamarle,E. Brux. Ac. Bll. 13 (1846) 724-. 

 , boundary, determination. Marie, M. C. 



B. 75 (1872) 469-; Liouv. J. Mth. 18 (1873) 



68-, 185-. 

 region. Marie, M. C. E. 60 (1865) 1085- ; 



74 (1872) 1485- ; Liouv. J. Mth. 18 (1873) 



53-. 



convergence region, report on Marie's memoirs. 



Puiseux, V. C. E. 76 (1873) 618-. 

 deduction. Ettingshausen, A. von. Wien SB. 



(1848) 238-. 

 . Echols, W. H. A. Mth. 8 (1893-94) 62-. 



and demonstration. Echols, W. H. Am. 

 J. Mth. 15 (1893) 283-. 



deductions. Fais, A. G. Mt. 12 (1874) 148-. 

 demonstration. Poisson, S. D. Par. EC. Pol. 



Cor. 1 (1804-08) 52-. 

 . Schubert, F. T. St Pet. Ac. Sc. Mm. 7 



(1820) 71-. 



. Wilmot, E. QJ. Sc. 16 (1823) 228-. 

 . Cox, H. Camb. and Dubl. Mth. J. 6 



(1851) 80-. 



. Konig, J. N. A. Mth. 13 (1874) 270-. 

 . Maggi, G. A. Mil. I. Lomb. Ed. 19 



(1886) 217-, 888. 

 . Jekel, A. N. Arch. Wisk. 1 (1895) 201- ; 



Fschr. Mth. (1893-94) 389-. 

 , Carpenter's. Muirhead, R. F. Edinb. Mth. 



S. P. 12 (1894) 114-. 

 , elementary. Mansion, P. Mess. Mth. 8 



(1879) 17-. 

 , Lagrange's. Cayley, A. Mess. Mth. 1 



(1872) 22-, 105-, 137. 

 , simplified. Hatzidakis, J. N. Ens. Mth. 



2 (1900) 447-. 

 demonstrations. Johnson, W. W. Mess. Mth. 



2 (1873) 180-. 

 , criticism. Bonnycastle, C. [1840] Am. 



Ph. S. T. 7 (1841) 217-. 

 derivation from a transcendental function. 



Buquoy, G. von. Oken Isis (1826) 666-., 

 expansions of uniform functions. Borel, E. 



C. E. 127 (1898) 751. 

 extension. Glashan, J. G. Am. J. Mth. 1 



(1878) 287-. 



of Hadamard's theorem to. Lean, . 

 Par. S. Mth. Bll. 26 (1898) 267-. 



formula derived from. Buquoy, G. von. 



Gilbert A. 44 (1813) 106-. 

 for functions of complex variable. Mansion, P. 



[1878] Mess. Mth. 8 (1879) 17-. 

 . Zmurko, W. Par. T. Nauk 



Sc. Pam. 11 (*1879) Art. 4, 150 pp. 

 functions defined by. Leau, L. C. E. 128 



(1899) 804- . 

 . Hadamard, J. Liouv. J. Mth. 8 



(1892) 101-. 

 generalisation. Roche, E. (n Adds.) Mntp. 



Ac. Sc. Mm. 5 (1861-63) 419- ; (vra) Liouv. 



J. Mth. 9 (1864) 129-. 



. Mansion, P. Mess. Mth. 4 (1875) 161-. 

 . Sylvester, J. J. Ph. Mg. 4 (1877) 136-. 

 . Mittag-Leffler, G. Gott. Nr. (1900) 194-. 

 generalised. Schlomilch, O. Schlomilch Z. 



2 (1857) 269- ; Leip. Mth. Ps. B. 31 (1879) 



histoij. Pringsheim, A. Bb. Mth. 1 (1900) 



433-. 

 illustration. Forbes, G. Mess. Mth. 2 (1873) 



106-. 

 impossibility of continuation in certain cases. 



Meray, C. Bll. Sc. Mth. 12 (1888) 248-. 

 with infinite number of singular points. Fabry, 



E. Acta Mth. 22 (1899) 65-. 



265 



