3610 



Uniform Functions of One Variable 



3610 



Eational integral function of a complex 

 variable. Stieltjes, T. J. (jun.) Arch. 

 Neerl. 18 (1883) 1-. 



Eepresentation, approximate, by rational frac- 

 tions. Fade, H. C. R. Ill (1890) 674-. 



by infinite products and series of partial 

 fractions. Frenzel,C. Z. Mth. Ps. 24 (1879) 

 316-. 



Residues. Tortolini, B. G. Arcad. 63 (1834- 



35) 86- ; 67 (1836) 179-. 

 . Gregory, D. F. Camb. Mth. J. 1 (1839) 



145-. 

 . Oltramare, G. C. R. 12 (1841) 953-. 



(Oltramare). Cauchy, A. L. C. R. 13 

 (1841) 296-. 



. Cauchy, A. L. C. R. 41 (1855) 41-. 



. Oltramare, G. Gen. I. Nt. Mm. 3 (1855) 



13pp. 

 , application. Amigues, E. N. A. Mth. 12 



(1893) 142-. 

 , in analysis. Cauchy, A. L. C. R. 32 



(1851) 207-. 

 , to integrals. Cauchy, A. L. C. R. 23 



(1846) 321-. 

 , mathematical physics. Cauchy, A. L. 



Par. Mm. Ac. Sc. 7 (1827) 463-. 

 , resolution of transcendental func- 

 tions. Cauchy, A. L. C. R. 32 (1851) 



267-, 354-. 

 , applications. Heine, H. E. [1879] Crelle 



J. Mth. 89 (1880) 19-. 



and calculus of limits, relations. Cauchy, 

 A. L. [1831-37] Ferussac Bll. Sc. Mth. 

 16 (1831) 116- ; Mod. Mm. S. It. 22 (1839) 

 91-. 



, Cauchy's formula, demonstration. Mansion, 



. Brux. S. Sc. A. 24 (1900) (Pt. 1) 88-. 

 , formulae, generalisation. Amanzio, D. 



G. Mt. 15 (1877) 257-. 

 , work on. Kummell, C. H. Des Moines 



Anal. 6 (1879) 1-, 41-, 173-. 

 , extension to space. Carvallo, E. Par. S. 



Mth. Bll. 24 (1896) 180- . 

 , formulae. Cauchy, A. L. C. R. 12 (1841) 



871-. 

 , and their application. Roselli, E. 



G. Arcad. 114 (1848) 1-, 121- ; 115 (1848) 



, functions. Falk, M. Ups. S. Sc. N. Acta 

 Vol. extra ord. (1877) (No. 7) 32 pp. 



of functions, theory, application. Dint, U. 

 Rm. R. Ac. Line. Mm. 2 (1895) 495-; A. Mt. 

 1 (1898) 39-. 



, principles (Cauchy). Eadicke, G. Crelle 



J. 25 (1843) 216-. " 

 , and uses (Cauchy). Piola, G. Opusc. 



Mt. Fis. 2 (1834) 237-. 

 , propositions, fundamental. Cauchy, A. L. 



C. R. 19 (1844) 1337-. 

 , theory. Cauchy, A. L. C. R. 44 (1857) 



406-. 

 Series, two, representing same function in one 



part of plane. Kapteyn, W. N. Arch. Wisk. 



3 (1898) 225-. 

 Singular points of function given by series, and 



impossibility of analytic continuation. Fabry, 



E. Par. EC. Norm. A. 13 (1896) 367-. 



Singularities of analytic function, operations 

 adding or removing. Pincherle, S. A. Mt. 4 

 (1900) 219-. 



, arrangement of infinite number. Velt- 

 mann, W. Z. Mth. Ps. 27 (1882) 176-. 



on convergence circle of analytic functions. 

 Pincherle, S. Bologna Rd. 2 (1898) 77-. 



, essential. Vivanti, G. Palermo Cir. Mt. 

 Rd. 3 (1889) 223-. 



of F(x)= 2 az 2 . Fredholm,!. Stockh. 



Ofv. (1890) 131- ; Fschr. Mth. (1890) 410. 

 Symmetrical expressions formed from values of 



modulus of function. Lewicki, W. Prace 



Mt.-Fiz. 6 (1895) 5- ; Fschr. Mth. (1895) 445. 

 Synectic functions. Pringsheim, A. Munch. 



Ak. Sb. 26 (1897) 167-. 

 Theorem. Lerch, M. Prag Sb. (1885) (Mth.- 



Nt.) 400-. 



of Bertini, demonstration. Liiroth, J. Mth. 

 A. 42 (1893) 457- ; 44 (1893) 539-. 



, fundamental. Morera, G. Mil. I. Lomb. 

 Rd. 19 (1886) 304-. 



of Mittag-LefHer, extension. Phragmen, E. 

 C. R. 128 (1899) 1434-. 



Puiseux, on different paths leading to 

 same value. Cauchy, A. L. C. R. 42 (1856) 

 663-. 



. Uniform function near singular point can 

 approach infinitely near to any value. 

 Proof. Holder, O. Mth. A. 20 (1882) 138-. 



of Weierstrass in an elliptic field. Cazzaniga, 

 T. Mil. I. Lomb. Rd. 31 (1898) 1065-. 



Theory. Weierstrass, C. T. W. Berl. Ak. Ab. 



(1876) (Mth.) 11-. 

 . Mittag-Leffler, G. C. R. 94 (1882) 414-, 



511-, 713-, 781-, 938-, 1040-, 1105-, 1163- ; 



95 (1882) 335-. 



. Goursat, E. C. R. 96 (1883) 565-. 

 . Stfickel, P. Crelle J. Mth. 106 (1890) 



189-. 

 . Desaint, L. Par. EC. Norm. A. 14 (1897) 



311-. 

 . HaUgren, E. Goteb. Hndl. 32 (1897) 53- ; 



Fschr. Mth. (1897) 355. 



Transcendental function discovered by Fred- 

 holm. Mittag-Leffler, G. C. R. 110 (1890) 



627-. 



functions, class. Poincarf, H. C. R. 103 



(1886) 862- ; Liouv. J. Mth. 6 (1890) 313-. 

 , . Craig, T. Am. J. Mth. 16 (1894) 



207-. 



, determination of genus. Laguerre, E. 



C. R. 94 (1882) 635-. 



, resolution into partial fractions. 

 Bukreje/, B. [1886] Fschr. Mth. (1887) 381-. 



Transformation of imaginary trigonometric 



binomials into exponentials. Matzka, W. 



Prag Sb. (1864) (pt. 2) 116-. 

 Uniform substitutions, convergence. Lemeray, 



E. M. C. R. 123 (1896) 793-; 124 (1897) 



1220-. 

 Zeros, distribution. Cesdro, E. N. A. Mth. 6 



(1887) 36-. 



S e-Jpsinpx. Lerch, M. Mh. Mth. Ps. 8 

 P ~(1897) 377-. 



295 



