4010 Functions of One Variable 



Integration by use of imaginaries. Martin, H. 

 N. A. Mth. 2 (1863) 57-. 



and 



Rumovski, S. [1807] St Pet. Ac. Sc. Mm. 2 

 (1807-08) 84-. 



x m dx 



Nicolai, F. B. G. As. Nr. 5 (1827) 

 371-. 



. dx. Tchebicheff, 



Jx* + ax 3 + 

 P. [1860] St Pet. Ac. Sc. Bll. 3 (1861) 



...+px 



dx 



Grelle, F. Z. Mth. Ps. 16 (1871) 254-. 

 Isodynamic lines of a polynomial, electric 



determination. Lucas, F. C. E. 106 (1888) 



587-. 

 Limiting values of integrals. Markov, A. A. 



St Pet. Ac. Sc. Mm. 10 (1900) No. 9, 34 pp. ; 



Fschr. Mth. (1900) 313-. 

 Linear functions. Pellet, A. E. C. E. 90 



(1880) 1111-. 



of one variable. Christoffel, E. B. 

 Crelle J. 55 (1858) 281-. 



Normal basis and absolute fundamental system, 



connexion between. Baur, L. Mth. A. 49 



(1897) 73-. 

 Periodicity, multiple, in functions of one 



variable. Casorati, F. Mil. I. Lomb. Ed. 



16 (1883) 815-. 

 Polynomials, statics. Lucas, F, Par. S. Mth. 



Bll. 17 (1889) 17-. 

 Eational fractional functions, representation 



by. Biermann, 0. Wien Ak. Sb. 89 (1884) 



(Ab. 2) 84-. 



integral functions, type. Laguerre, . 

 C. E. 98 (1884) 79-. 



operations. Noether, M. Mth. A. 23 (1884) 

 311-. 



Eeciprocity theorem. Study, E. Leip. Mth. 



Ps. B. 42 (1890) 153-. 

 Simple transcendental functions, elementary 



proof of periodicity. StudniCka, F. J. 



Casopis 22 (1893) 209- ; Fschr. Mth. (1893- 



94) 737. 

 Theorem of Abel. Stickelberger, L. Crelle J. 



Mth. 82 (1877) 45-. 



, fundamental. Bertini, E. Mth. A. 34 

 (1889) 447-. 



, . Hensel, K. Crelle J. Mth. 115 (1895) 

 254-. 



of Hadamard, application. Borel, E. Bll. 

 Sc. Mth. 18 (1894) 22-. 



-- Netto. Bertini, E. Mth. A. 35 (1890) 



-- Noether. Stickelberger, L. Mth. A. 30 

 (1887) 401-. 



Weierstrass. Noether, M. Crelle J. 

 Mth. 97 (1884) 224-. 



Algebraic Functions 4020 



Theory. Dedekind, B., & Weber, H. [1880] 

 Crelle J. Mth. 92 (1882) 181-. 



. Kneser, A. Mth. A. 29 (1887) 171-. 



. Hensel, K. Crelle J. Mth. 109 (1892) 1-; 

 Acta Mth. 18 (1894) 247-. 



. Baur, L. Crelle J. Mth. 116 (1896) 167-. 



, arithmetical. Landsberg, G. Gott. Nr. 



(1895) 407-. 



Transcendental functions, arising from re- 



peated integrations. Kummer, E. E. Crelle 



J. 21 (1840) 74-, 193-, 328. 

 Trinomial integrals. Besge, V. A . Liouv. J. 



Mth. 4 (1859) 194. 

 Values assumed by a rational integral function 



between assigned limits of the variable. 



Laguerre, . C. E. 98 (1884) 136-. 



of x oo , etc. Nievengloski, G. H. N. A. 

 Mth. 7 (1848) 425-. 



(l-x m )(i-x m -i)...n-x m -* +l ) . 



i - '- - '- - '- is an integral 



(l-x)(l-x*)...(l-x) 



function of x when m and /j. are integers, 

 and m >>. Perott, J. Par. S. Mth. Bll. 10 

 (1882) 87-. 



4020 Algebraic functions of 

 several variables. 



Convergence and double limits. Osgood, W. F. 



N. Y. Am. Mth. S. Bll. 3 (1897) 59-. 

 Formula of Leaute, extension. Karagiannides, 



. N. A. Mth. 17 (1898) 539-. 

 Theorem of Kronecker on functional determi- 



nant of 3 equations. Marenghi, C. Ven. I. 



At. (1897-98) 1688-. 

 Theory. Vessiot, E, Toul. Fac. Sc. A. 10 



(1896) D, 14 pp. 



(f 



+ " = lf 

 within. Most, It. Z. Mth. Ps. 14 (1869) 422-. 



2 variables. 



Landsberg, G. Berl. Ak. Sb. (1900) 296-. 

 change of independent variables. Gergonne, 



J. D. Gergonne A. Mth. 1 (1810-11) 251-. 

 class. Picard, E. C. E. 90 (1880) 1119-. 

 first differentials being given _, implicitly. 



Woisard, J. L. Par. Mm. Sav. Etr. 3 (1832) 



polynomials of two variables and approximate 



calculation of double integrals. Appell, P. 



Toul. Fac. Sc. A. 4 (1890) H, 20 pp. 

 representability by double trigonometric series. 



Ascoli, G. Em. E. Ac. Line. Mm. 4 (1879) 



253- ; Mil. I. Lomb. Ed. 15 (1882) 543-. 

 resolution into partial fractions. Hoyer, P. 



Mth. A. 47 (1896) 113-. 

 and theorem of Noether. Brill, A. Mth. A. 



39 (1891) 129-. 

 theory. Picard, E. Liouv. J. Mth. 5 (1889) 



135-. 



. Kobb, G. Liouv. J. Mth. 8 (1892) 385-; 

 Par. S. Mth. Bll. 21 (1893) 76-. 



. Grave, D. Fschr. Mth. (1899) 378-. 



,new. Hensel, K. Acta Mth. 23 (1900) 339-. 

 transformation. Euler, L. [1779] St Pet. Ac. 



Sc. Mm. 3 (1811) 43-. 



302 



