3610 



Uniform Functions of One Variable 



3610 



Analytic functions. Range, C. Acta Mth. 6 



(1885) 229-. 

 . Stackel, P. Crelle J. Mth. 112 (1893) 



262-. 



, arithmetical properties. Stackel, P. 

 Mth. A. 46 (1895) 513-. 



, expansion. Painleve', P. C. R. 128 



(1899) 1277-. 



; extension of Taylor's series. Mittag- 

 Leffler, G. Nt. 62 (1900) 419. 



, representation. Herz, N. [1879] Z. 



Mth. Ps. 25 (1880) 125-. 



, . Painleve, P. C. R. 126 (1898) 200-. 



, . Mittag-Leffler, G. C. R. 128 

 (1899) 1212-. 



1 series. Gerbaldi, F. Rv. Mth. 6 (1896- 



99) 24-. 

 , theorems. Mittag-Leffler, G. Bll. Sc. 



Mth. As. 3 (1879) (Ft. 1) 269-. 

 , theory, conception of derived function. 



Vivanti, G. Palermo Cir. Mt. Rd. 13 



(1899) 263-. 

 , values at periphery of convergence circle. 



Puzyna, J. Krk. Ak. (Mt.-Prz.) Rz. 6 (1893) 



311- ; Crc. Ac. Sc. Bll. (1893) 200-. 



point (x . y). Appell, P. Acta Mth. 1 (1882) 

 109-. 



( ) , nature of algebraic relation between 



two uniform functions. Goursat, E. C. R- 



97 (1883) 1048-. 

 Approximation, method. Jablonski, E. C. R. 



116 (1893) 19-. 

 Arbitrary functions, representation. Runge, C. 



Acta Mth. 7 (1885) 387-. 

 Arithmetical means. Gutzmer, A. G. Teix. J. 



Sc. 8 (1887) 147- ; N. A. Mth. 8 (1889) 101-. 

 Case. Stieltjes, . C. R. 101 (1885) 153-. 



(Stieltjes). Hermite, C. C. R. 101 (1885) 

 112-. 



Cauchy's formula / ^ dx = 2iirF (a), applica- 

 tion. Schonholzer, J. Bern Mt. (1874) (Ab.) 

 255-. 



integral. Morera, G. Mil. I. Lomb. Rd. 

 22 (1889) 191-. 



theorem. Kronecker, L. Berl. Ak. Sb. 

 (1885) 785-. 



, demonstration. Goursat, E. Acta Mth. 



4 (1884) 197-. 

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



Sc. 9 (1889) 7-. 

 , extension. Ravut, L. N. A. Mth. 16 



(1897) 365-. 

 on integral of function, demonstration. 



Falk, M. Ups. S. Sc. N. Acta 12 (1885) 



No. 3, 18 pp. 



value of complex function at any 

 point of area, deduction from. Grandi, A. 

 G. Mt. 7 (1869) 374-. 



lf(x) dx round a closed curve. Mittag- 

 Leffler, G. Gott. Nr. (1875) 65-. 



Characteristic conditions. Volterra, V. A. 

 Mt. 11 (1882-83) 1-. 



Class, determination. Sparre, de. C. R. 

 102 (1886) 740-. 



Coefficients and roots of an integral transcen- 

 dental function, relations. Pincherle, S. 

 Mil. I. Lomb. Rd. 11 (1878) 391-. 



Construction. Ovidio, E. d\ Tor. Ac. Sc. 

 At. 2.8 (1893) 812-. 



Continuation. Picard, E. C.R. 128 (1899)193-. 



of analytic functions. Borel, E. C. R. 128 

 (1899) 283-. 



, analytic, of functions representing interior 

 of conic on half plane. Lindemann, F. 

 Munch. Ak. Sb. 26 (1897) 401-. 



_, _, generalisation. Fabry, E. C. R. 128 

 (1899) 78-. 



, , . Borel, E. C. R. 130 (1900) 1115-. 



of monogenic functions. Mittag-Leffler, G. 

 Stockh. Ofv. (1898) 247-, 263-, 375-; Fschr. 

 Mth. (1898) 358-. 



. . Viterbi, A. Palermo Cir. Mt. 



Rd. 12 (1898) 95-. 



single-valued function represented by 

 double infinite series. Kluyver, J. C. Amst. 

 Ak. Vs. 8 (1900) 40-; Amst. Ak. P. 2 (1900) 

 24-. 



Curves represented by imaginary equation. 



David, . Toul. Ac. Sc. Mm. 6 (Sent. 2) 



(1884) 239-. 

 Differential equations, class. Picard, E. Bll. 



Sc. Mth. As. 4 (1880) (Ft. I) 416-. 

 Equality of two products, theorem. Cauchy, 



A. L. C. R. 16 (1843) 886-. 

 Expansion in any domain. Painleve, P. C. R. 



126 (1898) 318-. 

 power series. Pringsheim, A. Munch. 



Ak. Sb. 25 (1896) 75-. 

 Expressions representing distinct functions in 



different parts of plane. Lerch, J. Bll. Sc. 



Mth. 10 (1886) 45-. 

 Factorial in complex quantities, and some 



definite integrals. Raabe, J. L. Sch. Gs. 



N. D. 8 (1847) 19 pp. 

 , m t -=-&!, limiting value when k increases 



indefinitely. Raabe, J. L. Crelle J. 48 



(1854) 130-. 



Formula. Hermite, C. Am. J. Mth. 6(1884)60-. 

 Function corresponding to given continuum. 



Osgood, W. F. N. Y. Am. Mth. S. Bll. 5 (1899) 



14-. 



existing only in interior of circle. Stieltjes, 

 T. J. Bll. Sc. Mth. 11 (1887) 46-. 



with isolated singularities, expansion in 

 series. Bucca, F. Palermo Cir. Mt. Rd. 11 

 (1897) 90-. 



natural boundary. Osgood, W. F. 

 N. Y. Am. Mth. S. Bll. 4 (1898) 417- ; 5 

 (1899) 17-. 



a certain singular point. Arcais, F. d\ 



Yen. I. At. (1897-98) 1048-. 



two singular points expressed in a series, 



converging for all values of the variables 

 except along the arc of a circle or a straight 

 line. Ermakov, V. P. Rec. Mth. (Moscou) 

 16 (1893) 518- ; Fschr. Mth. (1892) 354-. 



Functions of complex variable, special form. 

 Seidel, L. [1869] Crelle J. 73 (1871) 297-. 



connected by algebraic relation. Picard, E. 

 Bll. Sc. Mth. As. 4 (1880) (Ft. 1) 416- ; 7 

 (1883) (Ft. 1) 107-. 



293 



