zeta-fuchsian functions. Poincare, H. Acta 

 Mth. 5 (1884) 209-. 



4440 Automorphic Functions Lame's and other Functions 4450 



Schwarzian triangles. Kapteijn, W. N. Arch. 



Wisk. 1 (1895) 185- ; Fschr. Mth. (1893-94) 



698 ; Bll. Sc. Mth. 18 (1894) 36-. 

 with simple nodal point. Schilling, F. 



[1896] D. Mth. Vr. Jbr. 5 (1901) (Heft 1) 73-. 

 s-function with branching (2, 3, 7). Fricke, E. 



Gott. Nr. (1892) 279-. 



, Schwarz's, with complex exponents, 

 fundamental domain. Schilling, F. Gott. 

 Nr. (1894) 261-. 



, , , geometrical theory. 

 Schilling, F. Mth. A. 46 (1895) 62-, 529-. 



, , geometrical theory. Schilling, F. 



Mth. A. 44 (1894) 161-. 

 s-f unctions, related. Papperitz, E. Mth. A. 



25 (1885) 212- ; 26 (1886) 97-. 

 Substitutions of 2nd degree. Laurent, H. 



N. A. Mth. 16 (1897) 389-. 

 Symmetric /^-functions with singularity. Schil- 

 ling, F. Mth. A. 51 (1899) 481-. 

 Ternary automorphic transformations, infinite, 



theorem. Fano, G. Bm. B. Ac. Line. Bd. 



8 (1899) (Sem. 1) 562-. 

 Theory. Dixon, A. G. L. Mth. S. P. 31 (1900) 



297-. 

 . Lindemann, F. [1899-1900] Munch. Ak. 



Sb. 29 (1900) 423- ; 30 (1901) 493-. 

 , and theory of groups. Fricke, E. Gott. Nr. 



(1892) 453- ; Mth. A. 42 (1893) 564-. 

 , numbers, relations between. Fricke, 



E. D. Mth. Vr. Jbr. 6 (1899) (Heft 1) 94-. 

 Transformation. Fricke, E. Mth. A. 44 (1894) 



97-. 



of 5th and 7th orders of special automorphic 

 functions. Fricke, E. Acta Mth. 17 (1893) 

 345-. 



Uniform automorphic forms of zero class. 



Eitter, E. Gott. Nr. (1892) 283- ; Mth. A. 



41 (1893) 1-. 

 functions. Klein, C. F. Mth. A. 19 



(1882) 565-; 20 (1882) 49-. 

 . Schottky,F. Mth. A. 20 (1882) 299-. 



functions reproduced by linear substitutions. 

 Poincare, H. Mth. A. 19 (1882) 553-; 20 

 (1882) 52-. 



Fuchsian groups. Stouff, X. Toul. Fac. Sc. 



A. 4 (1890) P, 25 pp. 

 and quadratic forms. Stouff, X. Toul. 



Fac. Sc. A. 3 (1889) B, 28 pp. 

 reducible to modular groups. Bianchi, L. 



Em. B. Ac. Line. Bd. 6 (1890) (Sem. 1) 375-. 

 , theory. Poincare, H. Acta Mth. 1 



(1882) 1-. 



limiting circle. Nekrasov, P. A. [1889-91] 

 Bee. Mth. (Moscou) 14 (1890) 537-; Fschr. 

 Mth. (1890) 428; Mth. A. 38 (1891) 82-. 



. Anisimov, V. A. [1891-92] Bee. 

 Mth. (Moscou) 16 (1893) 234- ; Fschr. Mth. 

 (1892) 387 ; Mth. A. 40 (1892) 145-. 



Fuchs's new rule for finding the radius of the 

 discriminating circle, explanations to supply 

 insufficiency. Nekrasov, P. A. Bee. Mth. 

 (Moscou) 16 (1893) 219- ; Fschr. Mth. (1892) 

 387-. 



Functions unaltered by certain linear transfor- 

 mation of argument, class. Schottky, F. 

 Crelle J. Mth. 101 (1887) 227-. 



linear substitutions. Fuchs, L. Gott. 



Nr. (1882) 81-. 



Group of 360 collineations in plane. Fricke, E. 

 D. Nf. Vh. (1896) (Th. 2, Hdlfte 1) 5. 



504 operations. Fricke, E. Mth. A. 52 



(1899) 321-. 



Groups appearing in theory of analytic func- 

 tions. Medolaghi, P. C. B. 126 (1898) 

 1188-. 



Invariant of congruent figures. Andrade, J. 

 N. A. Mth. 8 (1889) 150-. 



expression for Poincar6's substitutions. 

 Brun, F. de. Stockh. Ofv. (1890) 265-; 

 Fschr. Mth. (1890) 410. 



Invariants of Schwarzian polygon of genus 

 zero. Pick, G. Mth. A. 42 (1893) 489-. 



Kleinian functions of third family, generalisa- 

 tion. Cassel, G. Stockh. Ofv. (1890) 237- ; 

 Fschr. Mth. (1890) 410. 



Modular equation of 8th degree. Brioschi, F. 

 [1878] Bm. B. Ac. Line. T. 3 (1879) 45-. 



, Jacobi's. Brioschi, F. Mth. A. 



15 (1879) 241-. 



equations, class. Brioschi, F. A. Mt. 9 

 (1878-79) 167-. 



, depression. Klein, C. F. [1878] Mth. 



A. 14 (1879) 417-. 



.theory. Hitrwitz,A. Gott. Nr. (1883)350-. 



Octahedron and equation of 4th order. Puchta, 



A. Wien Ak. D. 41 (1879) (Ab. 2) 57-. 

 function. Cayley,A. QJ. Mth. 16 (1879)280-. 

 Polyhedral functions and Schwarzian deriva- 

 tive. Cayley, A. [1880] Camb. Ph. S. T. 



13 (1883) 5-. 

 Quadratic quaternary forms and applications to 



Fuchsian groups. Stouff, X. Toul. Fac. Sc. 



A. 6 (1892) G, 19 pp. 

 corresponding hyperabelian groups. 



Picard, E. C. B. 98 (1884) 904-. 

 Bepresentation by infinite products. Stahl, H. 



Mth. A. 33 (1889) 291-, 604. 



4450 Other functions which may 

 be defined by linear differential 

 equations. Lame's functions. 



Analytical functions of one variable depending 



on two real arbitrary constants. Picard,, . 



C. B. 114 (1892) 1310-. 

 Biharmonic functions. Arcais, F. d'. Ven. I. 



At. (1898-99) (Pt. 2) 479-. 

 Complete functions, of 1st kind. Tannery, J. 



C. B. 86 (1878) 950-. 



f*dx ( x dx \ 

 Dilogarithms. (Given by / / j ^J 



Mantel, W. N. Arch. Wisk. 3 (1898) 292- ; 



Fschr. Mth. (1898) 377. 

 Function analogous to modular functions. 



Poincare, H. C. B. 93 (1881) 138-. 

 Functions arising from inversion of integrals of 



linear differential equations. Fuchs, L. Bll. 



Sc. Mth. As. 4 (1880) 278-, 328-. 



351 



