3610 



Uniform Functions of One Variable 



3610 



Functions connected by algebraic relation, 

 theorem. Picard, E. ActaMth. 11 (1887-88) 



with "coupures" (sections). Picard, E. 

 C. E. 94 (1882) 1405-. 



( ). Appell, P. C. E. 96 (1883) 



1018-. 



line of essential singularities, decomposi- 

 tion into prime factors. Picard, E. C. E. 

 92 (1881) 690-. 



, (Picard). 



Dautheville, S. Mntp. Ac. Mm. 11 (1892) 45-. 

 in neighbourhood of a singular point. 

 Picard, E. C. E. 89 (1879) 745-. 



presenting lacunae. Goursat, E. C. E. 94 

 (1882) 715-. 



represented by series convergent within 

 certain limits. Ascoli, G. Mil. I. Lomb. 

 Ed. 19 (1886) 173- . 



Holomorphic functions. Cesdro, E. C. E. 99 



(1884) 26-; G. Mt. 22 (1884) 191-. 



. Hermite, C. Liouv. J. Mth. 1 (1885) 9-. 



. Bassi, A. G. Mt. 36 (1898) 100- ; 37 



(1899) 326-. 

 in an elliptic field. Pascal, E. Em. E. 



Ac. Line. Ed. 5 (1896) (Sem. 1) 319-. 

 . Cazzaniga, T. Tor. Ac. 



Sc. At. 33 (1897) 574- or 808-. 

 , expansion in series in area bounded by 



circular arcs. Appell, P. Acta Mth. 1 (1882) 



145-. 

 , genus zero or unity, roots of derivative. 



Bassi, A. Mil. I. Lomb. Ed. 28 (1895) 



979-. 

 , quotient of two, and recurring series. 



Presle, de. Par. S. Mth. Bll. 19 (1891) 



114-. 

 , roots of derivative. Bassi, A. Mil. I. 



Lomb. Ed. 28 (1895) 1119-. 



and meromorphic functions in rational and 

 in elliptic field. Cazzaniga, T. Tor. Ac. 

 Sc. At. 33 (1897). 743- or 983-. 



Integrability of function of one variable, new 



form of condition for. Stolz, 0. Wien Ak. 



Sb. 107 (1898) (Ab. 2a) 736-. 

 Integrals between imaginary limits. Cauchy, 



A. L. Ferussac Bll. Sc. Mth. 3 (1825) 214-. 

 . Dienger, J. Crelle J. 37 (1848) 



363-; 39 (1850) 62-. 

 , Cauchy 's theorem. Lerch, M. 



Prag Sb. (1887) (Mth.-Nt.) 673-. 

 Integration, application of free path. Christen , 



T. Arch. Mth. Ps. 16 (1898) 1-. 

 Irrational function of an imaginary variable. 



Cayley, A. [1876] L. Mth. S. P. 8 (1877) 



Isogonal transformation, statics of polynomials. 



Harris, E. A. A. Mth. 6 (1891-92) 77-. 

 Laguerre's rank of uniform function with 



infinite number of zeros. Puzyna, J. von. 



Mh. Mth. Ps. 3 (1892) 1-.- 

 Laurent's theorem, demonstration. Scheeffer, 



L. Acta Mth. 4 (1884) 375-. 



, for monogenic function with n 

 singular points. Mittag-Leffler, G. Stockh. 

 Ofv. 40 (1883) No. 9, 5-; Acta Mth. 4 (1884) 



Laurent's theorem, extension. Hermite, C. 



Crelle J. Mth. 116 (1896) 85-. 

 Linear dependence. Bocher, M. [1900] N. Y. 



Am. Mth. S. Bll. 7 (1901) 120-, 234. 



Maximum of/(x), (= So^a^Y Puzyna, J. 



Prace Mt.-Fiz. 6 (1895) 1-; Fschr. Mth. 



(1895) 444-. 

 Meromorphic functions. Borel, E. C. E. 120 



(1895) 303-. 

 Monodromic functions having a characteristic 



equation. Pincherle, S. Mil. I. Lomb. Ed. 



12 (1879) 536-. 

 , important class. Pincherle, S. G. Mt. 



18 (1880) 92-. 



and monogenic functions. Cauchy, A. L. 

 C. E. 43 (1856) 13-. 



Monogenic functions. Craig, T. [1893] N. Y. 



Mth. S. Bll. 3 (1894) 78-. 

 , representation, analytic. Mittag-Leffler, 



G. Acta Mth. 4 (1884) 1-. 

 , , . Volterra, V. Tor. Ac. Sc. At. 



34 (1898) 348- or 492-. 

 , , . Mittag-Leffler, G. [1898-1900] 



Camb. Ph. S. T. 18 (1900) 1-. 



, singular points of which make an 

 aggregate of first kind, analytic representa- 

 tion. Mittag-Leffler, G. Stockh. Ofv. 39 

 (1882) No. 2, 11-, No. 4, 21-. 



and holomorphic functions, inversion, cyclic. 

 Eodrigues, (le capit.) J. M. As. Fr. C. E. 

 (1893) (Pt. 1) 174; Ev. Mt. 5 (1895) 52-. 



monotypical functions. Cauchy, A. L. 



C. E. 32 (1851) 484-. 

 Number of periods. Milhll, K. von der. 



Basel Vh. 9 (1893) 78-. 

 . Astor, A. N. A. Mth. 15 (1896) 



227-. 

 Partial fractions found by complex functions. 



Hankel, H. Z. Mth. Ps. 9 (1864) 425-. 

 Power series, non-continuable. Vivanti, G. 



Ev. Mt. 3 (1893) 111-, 127. 



, relation between real and imaginary 

 parts. Tauber, A. Mh. Mth. Ps. 2 (1891) 

 79-. 



Products of variable factors. Andre, D. Par. 



S. Phlm. Bll. 2 (1890) 151-. 

 Property. Poincare, H. C. E. 92 (1881) 1335-. 

 Proposition of Hermite. Eaffy, L. Par. EC. 



Norm. A. 2 (1885) 99-. 

 Eadius of convergence. Fuchs, L. Crelle J. 



Mth. 106 (1890) 1-. 

 Eational functions with arbitrary limiting point, 



representation, analytic. Mittag-Leffler, G. 



Stockh. Ofv. 34 (1877) No. 1, 33-. 

 , class, representation, analytic. Mittag- 

 Leffler, G. Stockh. Ofv. 33 (1876) No. 6, 3-. 

 with finite number of limiting points, 



representation, analytic. Mittag-Leffler, G. 



Stockh. Ofv. 34 (1877) No. 2, 31-. 

 , representation, analytic. Mittag-Leffler, 



G. Stockh. Ofv. 34 (1877) No. 1, 17-. 

 , by quotient of two converging power 



series. Mittag-Leffler, G. Stockh. Ofv. 34 



(1877) No. 3, 5-. 



294 



