4450 



Lame's and other Functions 



4450 



Functions defined by differential equation of 1st 

 order. Vivanti, G. A. Mt. 16 (1888-89) 117-. 



equations. Bouquet, J. , & Briot, . 



C. B. 39 (1854) 368-. 



(Bouquet & Briot). Cauchy, A.L. 



C. B. 40 (1855) 557-. 



. Poincari, H. Par. EC. Pol. 



J. Cah. 45 (1878) 13-. 



. Fine, H. B. Am. J. Mth. 11 



(1889) 317-. 



of 1st order. Petrovitch, M. 



Par. S. Mth. Bll. 24 (1896) 58-. 



two simultaneous differential equa- 

 tions. Guldberg, A. Mh. Mth. Ps. 2 (1891) 

 147-. 



a system of linear homogeneous dif- 

 ferential equations of one or several variables, 

 properties. Sauvage, L. Par. EC. Norm. A. 

 11 (1882) 33-. 



, expansion in integrals of linear differential 

 equations of 2nd order. Pochhammer, L. 

 [1871] Crelle J. 74 (1872) 315-. 



of parabolic cylinder, differential equation. 

 Haentzschel, E. Z. Mth. Ps. 33 (1888) 22-. 



with recurring derivatives. Glaisher, J. W. L. 

 [1872] L. Mth. S. P. 4 (1871-73) 113-. 



satisfying ^ = y. Schapira, . D. Nf. 



Tbl. (*1879) 171-. 

 General co-functions, theory and application. 



Solutions of ^ = y. Sapiro, G. [Schapira, 



#.] N. Es. S. Nt. Mm. (Mth.) 3 (*1881); 



D. Nf. Tbl. (1881) [1]-. 



Integrals of solutions of differential equations of 



2nd order, with 3 singular points. Kejpinski, 



S. Krk. Ak. (Mt.-Prz.) Ez. 17 (1900) 112- ; 



Ore. Ac. Sc. Bll. (1899) 67-. 

 Lame-Hermite differential equation. Brioschi, 



F. St Pet. Ac. Sc. Bll. 35 (1894) 449-. 

 Lame's equation. Brioschi, F. C. B. 85 (1877) 



1160- ; 86 (1878) 313-. 

 . Hermite, C. [1877] A. Mt. 9 (1878- 



79) 21-. 

 . Lindemann, C. L. F. B. A. Ep. (1883) 



351. 

 . Greenhill, A. G. [1888] L. Mth. S. P. 



20 (1889) 213-. 



. Floquet, G. C. B. 121 (1895) 805-, 920. 



. Markoff, A. Mth. A. 47 (1896) 598-. 



, integration. Hermite, C. [1879] Crelle 



J. Mth. 89 (1880) 9-. 

 , new application. Gyldfn, J. A. H. C. E. 



93 (1881) 537-. 

 , solution. Crawford, L. QJ. Mth. 27 



(1895) 93-. 

 , , factors. Crawford, L. QJ. Mth. 



29 (1898) 196-. 



, special case. Stenberg, E. A. Acta 

 Mth. 10 (1887) 339-. 



, . Jamet, V. C. E. Ill (1890) 638-. 



, theorems. Brioschi, F. C. B. 92 (1881) 



325-. 



LAME'S FUNCTIONS. 

 Heine, H. E. Crelle J. 56 (1859) 79-, 87-. 

 Klein, C. F. Mth. A. 18 (1881) 237-. 



Schllifli, L. Em. E. Ac. Line. Mm. 4 (1887) 



37-. 

 Jaerisch, P. Hamb. Mth. Gs. Mt. 1 (1889) 



212-. 



Moser, C. Arch. Sc. Ps. Nt. 8 (1899) 377-. 

 and Hermite's function, zero values. Markov, 



A. A. Kharkov Mth. S. Com. 5 (1896?) 



74-; Fschr. Mth. (1896) 334. 

 of 1st kind, existence and number. Heine, 



[H.] E. Berl. Mb. (1864) 13-. 

 , any order. Heine, H. E. [1862] 



Crelle J. 62 (1863) 110-. 

 2nd kind. Bigler, U. Arch. Mth. Ps. 12 



(1894) 113-, 225-. 

 Klein's theorem. Crawford, L. QJ. Mth. 30 



(1899) 307-. 

 and Laplace's and Bessel's functions, connexion 



between. Haentzschel, E. Z. Mth. Ps. 31 



(1886) 25-. 

 of 2nd order. Waelsch, E. Wien Ak. Sb. 105 



(1896) (Ab. 2a) 741-. 

 different orders. Heine, H. E. Crelle J. 60 



(1862) 252-. 

 and other functions. Stieltjes, T. J. Acta 



Mth. 6 (1885) 321-. 



theory. Heun, K. Mth. A. 33 (1889) 180-. 

 . Klein, F. Gott. Nr. (1890) 85-. 

 in " Theory of Heat." Escary, . C. B. 87 



(1878) 646-; 88 (1879; 1027- ; 90 (1880) 1341-. 

 with given zeros. Johanson, A. M. Stockh. 



Ofv. (1900) 675-. 



Lamp's numbers, generalisation. Berger, A. 



Ups. S. Sc. N. Acta 15 (1895) No. 10, 33 pp. 

 products. Sa/ord, F. H. Am. J. Mth. 21 



(1899) 1-. 

 Polyharmonic functions. Volterra, V. Ven. I. 



At. (1898) 233-. 



-, i.e. solutions of 



= o t in 



simply connected plane space. Almansi, E. 



Palermo Cir. Mt. Ed. 13 (1899) 225-. 

 Polynomials arising from (1 - 2xz + z z )~^' 



Amanzio, D. Nap. Ac. At. 7 (1895) No. 10, 



35pp. 

 , Stieltjes'. Van Vleck, E. B. N. Y. Am. 



Mth. S. Bll. 4 (1898) 426-. 

 Potential functions in n dimensional space. 



Biermann, 0. Lotos 34 (1885) 93-. 

 Eiemann's P-function, mathematical represen- 



tation. Radicke,A. Epm. Mth. 1 (1877) 50-. 

 Bing functions. Gegenbauer, L. Wien Ak. 



Sb. 100 (1891) (Ab. 2a) 745-. 

 Series and differential equations. Bervi, N. V. 



[1894] Eec. Mth. (Moscou) 17 (1895) 838- ; 



Fschr. Mth. (1895) 275. 

 Specification of n functions in plane, problem 



of Eiemann. Schlesinger, L. C. E. 126 



(1898) 723-. 

 Successive approximations, singular examples. 



Picard, E. C. B. 126 (1898) 497-. 

 Transcendental functions defined by differential 



equations of 2nd order. Painlevi, P. C. B. 



116 (1893) 566-. 

 (l-2az + a 2 )-*, expansion. Radau, R. Par. 



Obs. A. (Mm.) 18 (1885) D, 20 pp. 



352 



