3640 Multivariable Functions 



Algebraic functions of 2 variables. Hensel, K. 



D. Mth. Vr. Jbr. 7 (1899) (Heft 1) 58-. 

 , new theory. Hensel, K. D. Mth. 



Vr. Jbr. 8 (1900) (Heft 1) 221-. 

 several variables. Nother, M. Gott. 



Nr. (1869) 298-. 

 Analytic continuation. Goursat, E. C. E. 



128 (1899) 591-. 



functions in n dimensions, theorems. 

 Scheffen, G. C. K. 116 (1893) 1242-. 



of several variables. Osgood, W. F. Mth. 



A. 52 (1899) 462-; 53 (1900) 461-. 

 , expansion. Painleve, P. C. B. 



129 (1899) 92-. 



Conjugate functions in n variables. Volterra, V. 



Km. E. Ac. Line. Ed. 5 (1889) (Sem. 1) 599-. 

 Differential quotients. Czuber, E. Wien Ak. 



Sb. 101 (1892) (Ab. 2a) 1417-. 

 Differentials. Goursat, E. Par. EC. Norm. 



A. 2 (1885) 255-. 

 , successive. Darboux, G. C. E. 93 (1881) 



1123- ; 94 (1882) 575-; Bll. Sc. Mth. As. 5 



(1881) 376-, 395-. 

 Expansion, conditions of reality. Schulten, 



N. G. of (fil.\. [1843] Helsingf. Acta 2 



(1847) 347-. 



in series, form when curtailed. Eiqnier, . 

 C. E. 126 (1898) 1558-. 



Functions of two real variables, Schonflies's 



theorem. Osgood, W. F. Gott. Nr. (1900) 



94-. 

 , . Bernstein, F. Gott. 



Nr. (1900) 98-. 

 variables. Poincare, H. Acta Mth. 



2 (1883) 97-. 

 , behaviour near a zero point. 



Brill, A. Munch. Ak. Sb. 21 (1892) 207-. 



, boundary conditions for value. 

 Ascoli, G. Mil. I. Lomb. Mm. 16 (1891) 

 197-. 



, class. Appell, P. Acta Mth. 2 



(1883) 71-. 

 , divisibility by another function, 



case. Berry, A. L. Mth. S. P. 30 (1899) 271-. 

 , graphical representation. Klejber, 



I. A. Es. Ps.-C. S. J. 19 (Ps.) (1887) 18-. 

 , inversion. Fuchs, L. Berl. Ak. 



Sb. (1887) 99-. 

 , limiting values, two theorems. 



Du Bois-Reymond, P. [1876] Mth. A. 11 



(1877) 145-. 

 n real variables. Giuliani, G. G. Mt. 



29 (1891) 234-. 



variables arising from inversion of 

 integrals. Fuchs, L. Berl. Ak. Sb. (1883)507-. 



Gauss's formula for interlaced curves and ex- 

 tension to higher configurations. Dyck, W. 

 Munch. Ak. Sb. 25 (1896) 447-. 



Hyperspaces, complex variables in. Volterra, V. 

 Em. E. Ac. Line. Rd. 5 (1889) (Sem. 1) 291-; 

 6 (1890) (Sem. 2) 241-. 



, functions of, and their differential para- 

 meters. Volterra, V. Em. E. Ac. Line. Ed. 

 5 (1889) (Sem. 1) 630-. 



Integral function of n elements, number of 

 values. Netto, E. Crelle J. Mth. 85 (1878) 

 327-. 



Algebraic Functions 4000 



Integrals and expansions in series, cases. 



Bucca,F. Palermo Cir.Mt. Ed. 12 (1898)260-. 

 Kronecker's characteristic. Dyck,W. Munch. 



Ak. Sb. 25 (1896) 261-. 

 Limiting values. Stolz, 0. Mth. A. 26 (1886) 



83-; Innsb. Nt. Md. B. 17 (1887) xxvi-. 

 Periodic functions of two variables. Appell, P. 



Liouv. J. Mth. 7 (1891) 157-. 

 Potential theory. Dyck, W. Munch. Ak. Sb. 



25 (1896) 261-, 447-; 28 (1899) 203-. 

 Eational functions of n variables, classes. 



Kronecker, L. Berl. Ak. Sb. (1886) 251-. 



, conjugate values. Netto, E. 

 Crelle J. Mth. 100 (1887) 436-. 



Eelation between p integral functions of p - 1 



variables. Pen-in, R. C. E. 106 (1888) 1789-. 

 Series integral with reference to several variables. 



Dautheville, S. Par. EC. Norm. A. 2 (1885) 



(Suppl.) 59 pp. 

 Theorem, demonstration. Trzaska, W. Par. 



T. Nauk Sc. Pam. 2 (*1872) 39-; Bll. Sc. 



Mth. As. 6 (*1874) 156. 

 Theory. Baker, H. F. Camb. Ph. S. T. 18 



(1900) 408-. 

 , formula. Pincherle, S. Stockh. Ofv. (1886) 



51-. 

 , , and integration of total differentials. 



Jaggi, E. N. A. Mth. 16 (1897) 297-. 

 Transcendental functions, property of class. 



Volterra, V. Em. E. Ac. Line. Ed. 2 (1886) 



(Sem. 2) 21 1-. 

 Undeveloped functions, theory. Schwarz ,H.A. 



Berl. Ak. Sb. (1897) 948-. 

 Uniform analytic functions of n variables, 



theory. Biermann, O. Wien Ak. Sb. 89 



(1884) (Ab. 2) 266-. 



functions defined by inversion of total 

 differentials. Painleve, P. C. E. 122 (1896) 

 660-, 769-. 



expressible as quotient of two power series, 



theorem. Hurwitz, A. [1882] Crelle J. 

 Mth. 95 (1883) 201-. 



of 2 variables, class. Picard, E. C. E. 



95 (1882) 594-. 



connected by an algebraic equa- 

 tion. Giinther, P. Crelle J. Mth. 109 (1892) 

 199-. 



, and a group of linear substitu- 

 tions. Picard, E. C. E. 94 (1882) 579-, 837-. 



, poles. Autonne, L. Palermo 



Cir. Mt. Ed. 10 (1896) 196-. 



several independent variables, poles. 



Autonne, L. C. E. 124 (1897) 139- ; Acta 

 Mth. 21 (1897) 249-. 



Zeros. Dyck, W. Munch. Ak. Sb. 28 (1899) 

 203-. 



Algebraic functions and their 

 integrals. 



4000 General. 



Rydberg, J. R. Lund. Un. Acta 15 (1878-79) 



(Mth.) (No. 2) 18 pp. 

 Algebraic functions. Cockle, Jos. Camb. and 



Dubl. Mth. J. 2 (1847) 267-; 3 (1848) 179-. 



299 



