3220 Infinite Series 



Limiting values. Hoppe, E. Arch. Mth. Ps. 



68 (1882) 37-. 

 of series, Appell's theorem. Cesdro, E. 



Mathesis 13 (1893) 241-. 

 on circle of convergence. Holder, 



0. Mth. A. 20 (1882) 535-. 

 for infinite values of variables, 



cases. Denzler, W. Ziir. Vjschr. 1 (1856) 



333-. 

 Mixed periodic series. Oltramare, G. Gen. I. 



Nt. Mm. 5 (1857) 1-. 



series. Studnicka, F. J. Prag Sb. (1892) 

 (Mth.-Nt.) 98-. 



Moduli of series. Cauchy, A. L. C. B. 17 

 (1843) 1220-. 



Multiple and divergent series, formulas result- 

 ing from. Cauchy, A. L. C. B. 20 (1845) 

 329-. 



modular series. Cauchy, A. L. C. B. 



19 (1844) 1375-. 



-valued series. De Morgan, A. [1836] 

 Camb. Ph. S. T. 6 (1838) 185-. 



Multiplication. Cesdro, E. Bll. Sc. Mth. 14 



(1890) 114-. 

 . Cajori, F. N. Y. Mth. S. Bll. 1 (1892) 



184-. 



of two series. Stieltjes, T. J. N. A. Mth. 

 6 (1887) 210-. 



, rule for. Mertens, F. Crelle J. 



Mth. 79 (1875) 182-. 

 , . Jensen, J. L. W. V. (xn) 



Ts. Mth. 3 (1879) 95-. 

 Neutral series. Marrat, W. Thomson A. Ph. 



3 (1822) 417-. 

 , theorem. De Morgan, A. [1864-68] 



Camb. Ph. S. T. 11 (1871) 190-, 239-, 



447-. 

 New class. Babbage, C. [1824] Camb. Ph. S. 



T. 2 (1827) 218-. 

 Numerical calculation. Lerch, M. D. Mth. 



Vr. Jbr. 8 (1900) (Heft 1) 217-. 



series and their geometrical applications. 

 Collignon, E. As. Fr. C. B. (1888) (Pt. 2) 



value of a series. Glaisher, J. W. L. L. 

 Mth. S. P. 8 (1876-77) 200- ; Mess. Mth. 7 

 (1878) 190-. 



Paradox. Glaisher, J. W. L. [1871] Mess. 



Mth. 1 (1872) 97-. 

 Periodic aggregates, transformation. Gylden, 



H. St Pet. Ac. Sc. Bll. 1 (1894) 379-. 



series, multiple, theorem.' Enneper, A. QJ. 

 Mth. 1 (1857) 280-. 



Permanence of equivalent forms. Anon. A. 



Mth. 6 (1891-92) 81-. 

 Power of a series. Caldarera, G. Acireale 



Ac. At. 5 (1894) (Sc.) 1-. 



Power series. 



Appell, P. C. B. 87 (1878) 689-. 

 Kronecker, L. Berl. Ak. Mb. (1878) 53-. 

 Stieltjes, . C. B. 103 (1886) 1243-. 

 Tognoli, 0. G. Mt. 25 (1887) 155-. 

 Pincherle, S. A. Mt. 21 (1893) 138-. 

 Vivanti, G. A. Mt. 21 (1893) 193-. 

 Fleuri, G. Aust. As. Bp. (1895) 217-. 



Power Series 3220 



Puzyna, J. Krk. Ak. (Mt.-Prz.) Bz. 11 (1897) 



270- ; Crc. Ac. Sc. Bll. (1896) 295-. 

 abbreviated, expansion. Jordan, W. As. Nr. 



85 (1875) 73-. 

 always divergent. Pincherle, S. C. B. 128 



(1899) 407-. 

 and arithmetical series of rth rank, combina- 



tion. Mildner, E. Wien Ak. Sb. 87 (1883) 



(Ab. 2) 532-. 

 ascending. Andre, D. Par. EC. Norm. A. 12 



(1883) 287-. 

 asymptotic determination. Cesdro, E. Nap. 



Bd. 32 (1893) 187-. 

 behaviour on circle of convergence. Pringsheim, 



A. [1885-1900] Mth. A. 25 (1885) 419- ; 



Munch. Ak. Sb. 30 (1901) 37-. 

 on circle of convergence, and Fourier's series. 



Pringsheim, A. [1895] Munch. Ak. Sb. 25 



(1896) 337-. 

 with coefficients depending on one variable. 



Vivanti, G. A. Mt. 21 (1893) 25-. 

 coefficients of mth power. Hansted, B. (xn) 



Ts. Mth. 5 (1881) 12-. 

 convergence and continuity. Arndt,F. Grunert 



Arch. 25 (1855) 211-. 

 -- limit (Abel's theorem). Catalan, E. 



Mathesis 4 (1884) 25-. 

 converging, with rational numerical coefficients 



and prescribed zeros. Hurwitz, A. Acta 



Mth. 14 (1890-91) 211-. 

 differentiation. Schlomilch, 0. Schlomilch Z. 



5 (1860) 292-. 

 generalisation. Mittag-Leffler, G. Stockh. 6fv. 



(1898) 135- ; Fschr. Mth. (1898) 358-. 



of a theorem. Seidel, L. Munch. Sb. 2 

 (1862) 91-. 



of given function. Gomes Teixeira, F. Crelle 

 J. Mth. 122 (1900) 97-. 



integers and their reciprocals, transforma- 

 tions. Eogel, F. Arch. Mth. Ps. 10 (1891) 

 169-. 



linear criteria of convergence. Van Vleck, E. B. 



N. Y. Am. Mth. S. T. 1 (1900) 293-, 509. 

 and 'majorant' functions. Delassus, E. Bll. 



Sc. Mth. 20 (1896) 73-. 

 of a number. Hennessy, J. P. B. A. Bp. 



(1858) (pt. 2) 4-. 



property. Konig, G. [1882] (xn) Mth. 



; Mth. Nt 

 1 (1882-83) 73-. ' 



t. B. Ung. 



. , . 



Term. Ets. 1 (1883) 60- 

 ' 



radius of convergence. Hadamard, . C. B. 



106 (1888) 259-. 

 relations between approximate convergents. 



Frobenius, G. [1879] Crelle J. Mth. 90 



(1881) 1-. 

 representing algebraic functions, Eisenstein's 



criterion. Sutdk, J. Mth. Termt. Ets. 11 



(1893) 362- ; Mth. Nt. B. Ung. 12 (1895) 1-. 

 and their remainders. Schlomilch, 0. Schlo- 



milch Z. 1 (1856) 129-. 

 of two variables. Vivanti, G. Mh. Mth. Ps. 5 



(1894) 99-. 



--- (Vivanti). Zindler, K. Mh. Mth. Ps. 



5 (1894) 287-. 

 --- , regions of convergence. Phragme"n, 



E. Stockh. Ofv. 40 (1883) No. 10, 17-; 



Fschr. Mth. (1884) 203. 



245 



