UNIVERSITY 

 B&NTA BARBARA COLLEGE UBRAKT 



4010 



Theorem, fundamental. Noether, M. Mth. A. 



6 (1873) 351- ; 30 (1887) 410- ; 34 (1889) 



450- ; 40 (1892) 140-. 

 , (Noether). Baker, H. J. Mth. A. 42 



(1893) 601-. 

 , ( ). Scott, C. A. Mth. A. 52 (1899) 



593-. 

 , , demonstration. BoJiannan, R. D. Am. 



J. Mth. 19 (1897) 192. 

 Transcendental functions, classification. Liou- 



ville, J. [1835] Liouv. J. Mth. 2 (1837) 56-; 



3 (1838) 523-. 



Undeveloped functions, new proof of funda- 

 mental theorem. Grave, D. Fschr. Mth. 



(1899) 379. 



4010 Algebraic functions of 

 one variable. 



Betti, E. Pisa A. Un. Tosc. 7 (Sc. Cosm.) 

 (1862) 101-. 



Hensel, K. D. Mth. Vr. Jbr. 1 (1892) 56-. 



Algebraic configuration of nth rank in domain 

 of n + 1 magnitudes. Biermann, O. Wien 

 Ak. Sb. 95 (1887) (Ab. 2) 802-. 



differentials, integration. Ptasickij, I. L. 

 Kharkov Mth. S. Com. 1 (1889) 61-; Fschr. 

 Mth. (1888) 296-. 



functions of one and two variables. Nother, 

 M. Gott. Nr. (1871) 267-. 



integrals. Cremona, L. [1869] Bologna 

 Ac. Sc. Mm. 10 (1870) 3-. 



logarithmic integrals of algebraic functions, 

 extension of Abel's theorem. Konigsberger, 

 L. Mth. A. 17 (1880) 560-. 



part of integral of rational functions, 

 determination. Gomes Teixeira, F. Bm. B. 

 Ac. Line. Bd. 1 (1885) 187-. 



systems, reduction to canonical form. 

 Hensel, K. Crelle J. Mth. 117 (1897) 

 129-. 



Application of theory of linear differential 



equations. Thomt, L. W. Crelle J. Mth. 



104 (1889) 1-; 112 (1893) 165-. 

 Canonical systems. FiscJier,K. Crelle J. Mth. 



117 (1897) 1-. 

 Circular arc polygons. Schdnflies, A. Mth. A. 



42 (1893) 377-. 

 and triangles. Schonjlies, A . Mth. A. 



44 (1894) 105-. 

 quadrilaterals and principle of symmetry. 



Fricke, R. Mth. A. 44 (1894) 565-. 

 Definition by cubic equation. Betti, E. G. Mt. 



3 (1865) 143-. 

 . Floquet, G. Par. S. Mth. Bll. 



23 (1895) 76-. 

 Factorisation of integral function of one variable 



into factors without multiple roots. Engel, 



F. Leip. Mth. Ps. B. 49 (1897) 603-. 



Function <j> (x) = ^| . Tanner, H. W. L. 



[1879] Mess. Mth. 9 (1880) 109-. 



(x - 1). Humbert, G. Par. S. Mth. Bll. 9 

 (1881) 56-. 



f(x) = (x + 1) (x -l)(x-2). Bigler, U. Arch. 

 Mth. Ps. 14 (1896) 337-. 



Algebraic Functions of One Variable 



4010 



Functions analogous to Legendre's polynomials. 

 Hugoniot, . C. B. 95 (1882) 983-. 



of form/(.r) = cx + d > symbolic powers and 

 roots. Johnson, W. W. Mess. Mth. 9 (1880) 



ax + b 



powers. Tanner, H. W. L. 



cx + d 



Mess. Mth. 9 (1880) 139-. 

 Fundamental system for given class domain,, 

 determination. Mertens, F, Wien Ak. Sb 

 102 (1893) (Ab. 2a) 497-. 



systems for. Baker, H. F. L. Mth. S. P. 

 26 (1895) 107-. 



Geometrical study. Tognoli, O. G. Mt. 22, 

 (1884) 308- ; 23 (1885) 247-, 345-. 



Hyperelliptic integrals. Chessin, A. S. [1897] 

 N. Y. Am. Mth. S. Bll. 4 (1898) 93-. 



Implicit function defined by algebraic equa- 

 tion, values. Marie, M. C. B. 47 (1858> 

 145-. 



Integral algebraic functions, representation. 

 Hensel, K. Crelle J. Mth. Ill (1893). 

 139-. 



rational functions with integral coefficients,, 

 irreducibility. Hilbert, D. Crelle J. Mth. 

 110 (1892) 104-. 



x 2m dx 



, value. Popov, A. T. (xn) 



-LJ. 1 



Kazan Un. Mm. 6 (1871) 236-. 



, evaluation. Worpitzky, 



J. Z. 



Mth. Ps. 19 (1874) 90-. 

 Integrals of algebraic expressions with several 



variables. Gronwall, H. Stockh. Ofv. (1896) 



67-. 

 value, theory. Bertrand, J. Par. S. 



Phlm. PV. (1843) 126. 

 factorial functions, inversion. Picard, E. 



Am. J. Mth. 16 (1894) 111-. 



form I 7^=^ ' reduction. 



Stuart, G. H. QJ. Mth. 18 (1882) 245-. 

 Integration of differentials containing square 



root of polynomial of 3rd or 4th degree. 



Tchebicheff, P. [1854] Liouv. J. Mth. 2 



(1857) 1-. 

 4th degree or cube 



root of polynomial of 3rd degree. Aleksyeev, 



N. N. (xn) Bee. Mth. (Moscou) [1] (1866) 



187-. 



in finite series, cases. Pezzi, F. Verona 

 S. It. Mm. 4 (1788) 577-; 6 (1792) 256-. 



, graphical treatment, and applications. 

 Massau, J. Bv. Un. Mines 16 (1884) 243-, 

 579-; 17 (1885) 1-; 20 (1886) 1-, 475-; 21 

 (1887) 85-, 308-, 572-; 22 (1887) 1-. 



of an irrational formula. Maurice, F. Bb. 

 Brit. 17 (1801) 103-. 



irrational functions. Casorati, F. 

 Tortolini A. 7 (1856) 223-. 



, reduction formulae. Azzarelli, M. Bm. 

 N. Line. Mm. 1 (1887) 247-. 



by substitution, case. Luchterhandt, A. R~ 

 Crelle J. 17 (1837) 248-. 



301 



