4063 



173 



4420 



Picard, E. Sur rinipossn)ilite de cer- 

 taines seiies de p;rouiDes de points sur 

 une surface alo;ebrique. J. math., Paris, 

 <ser. 5), 9, 1003, (35-41). 



4070 PERIODIC FUNCTIONS OF 

 SEVERAL VARIABLES; GENE- 

 RAL THETA FUNCTIONS. 



Baker, Henry Frederick. On the 

 ilifferential equations of the hyperelliptic 

 functions. Cambridge, Proc. Phil. Soc, 

 12, 1903, r219-i>39). 



Humbert, G. Les fonctions abeliennes 

 singulieres et les formes quadratiques. 

 r. math., Paris, (ser. 5), 9, 1903, (43- 



137). 



Sur les fonctions abeliennes 



5\ multiplication complexe. Paris, C.-R. 

 Acad, sci., 136, 1903, (717-723). 



Jung, Heinrich. Ueber Thetafunc- 

 tionen, die nicht zur Riemann'schen 

 Klasse gehoren. J. Math., Berlin, 126, 

 1903, (l-ol). 



Schottky, F[riedrich]. Ueber die 

 Abel'schen Functionen von drei Ver- 

 anderlichen. Berlin, SitzBer. Ak. 

 Wiss., 1903, (978-986, 1022-1033). 



St0rmer, Carl. Remarque prelimi- 

 naire sur lequation indeterminee : 

 Xy''- Ax^' - 2B.T,.X3 - Cars' + (AC - B^) x^' 

 = ± 4. Kristiania, Skr. Vid. selsk., I, 

 8, 1902, 1902, (6). 



Other Special Functions. 

 4400 GENERAL. 



Radelfinger, Frank G. The analytic 

 representation of complex functions. 

 Washington, D.C., Bull. Phil. ^Soc, 14, 

 1903, (227-232). 



4410 



EULERIAN FUNCTIONS. 



Barbieri, (}. A. Alcune ricerche rela- 

 tive alia fuuzione r Euleriana. Period, 

 mat., Livorno, 17, 1901-02, (276-278). 



Barnes, Ernest William. On the ex- 

 pression of Elder's constant as a definite 

 integral. ]\re5s. Math., Cambridge, 33, 

 1903, (59-61). 



Barnes, Ernest William. On the co- 

 efficients of capacity of two spheres. 

 Q. J. Math., London, 35, 1903, (155-175). 



Godefroy, M. Theorie elementaire des 

 series. Limites. Series a termes con- 

 stants. Series a termes variables. 

 Fonction exponentielle. Fonctions cir- 

 culaires. Fonction Gamma. Preface 

 de L. Sauvage. Paris (Gauthier-Villars), 

 1903, (VIII -f- 266). 25 cm. 



Nielsen, Niels. Sur la fonction 

 gamma. Arch. Math., Leipzig, (3. 

 Reihe), 6, 1903, (223-231). 



Osborn, G. Elementary treatment for 

 CJamma function. Math. Gaz., London, 

 2, 1903, (311-312). 



Phragm^n, E[dvard]. Cber eine 

 direkte Methode, eine gegebene ganze 

 rationale Funktion von zwei unabhan- 

 gigen Veranderlichen in irreduktible 

 Faktoren zu zerlegen. Stockholm, 

 Vet.-Ak. Ofvors., 58, 1901, (795-810). 



4420 LEGENDRE'S FUNCTIONS ; 

 BESSEL'S FUNCTIONS ; HYPER- 

 GEOMETRIC FUNCTIONS. 



Chessin, Alexander S. On some rela- 

 tions between Bessel functions of the 

 first and of the second kind. St. Louis, 

 Mo., Trans. Acad. Sci., 12, 1902, (99- 

 108). Separate 24.7 cm. 



Darwin, George Howard. The ai> 

 proximate determination of the form of 

 Maclaurin's spheroid. New York, N.Y., 

 Trans. Amer. Math. Soc, 4, 1903, (113- 

 133). 



Dixon, Alfred Cardew. Summation of 

 a certain series. London, Proj. Math. 

 Soc, 35, 1903, (284-289). 



Filon, Louis Napoleon George. On a 

 new mode of expressing solutions of 

 Laplace's equation, in terms of operators 

 involving Bessel functions. Ph;l. Maar., 

 London, (Ser. 6), 6, 1933, (193-213). 



Ford, Walter B. On the possibility 

 of differentiating term by term the 

 developments for an arbitrary function 

 of one real variable in terms of Bessel 

 functions. New York, N.Y., Trans. 

 Amer. Math. Soc, 4, 1903, (178-184). 



