Colloquium publications.

172

THE BOSTON COLLOQUIUM.

30. Bortolotti. Sulla convergeuza delle frazioni continue algebriche.
Atti della R. Accad. dei Lincei, ser. 5, vol. 8,, pp. 28-33, 1899.
31. Van Vleck. On the convergence of continued fractions with complex elements. Trans. Amer. Math. Soc., vol. 2, pp. 215-233,
1901.
32. Van Vleck. (a) On the convergence of the continued fraction of
Gauss and other continued fractions. Annals of Math., ser. 2,
vol. 3, pp. 1-18, 1901.
(b) On the convergence and character of the continued fraction
az a2z az
1 + 1 +1+*
Trans. Amer. Math. Soc., vol. 2, pp. 476-483, 1901.
(c) On the convergence of algebraic continued fractions whose
coefficients have limiting values. Ibid., vol. 5, pp. 253-262,
1904.
33. Montessus. (a) Sur les fractions continues algebriques. Bull. de
la Soc. Math. de France, vol. 30, pp. 28-36, 1902.
The content of this memoir was discussed in lecture 5.
(b) Same title. Comp. Rend., vol. 134 (1902), p. 1489.
See also 37a/, 41.
III. ON VARIOUS CONTINUED FRACTIONS OF SPECIAL FORM.
A. The Continued Fraction of Gauss.
34. Gauss. Disquisitiones generales circa seriem infinitam
1 a. a(a + 1)P(p + 1)2 +
1+ -_x + 1.2.y(y+1) +
Deutsche Uebersetzung von Simon, or Werke, vol. 3, pp. 134 -138, 1812.
34, bis. Vorsselman de Herr. Specimen inaugurale de fractionibus continuis. Dissertation, Utrecht, 1833.
Numerous references are given here to the early literature
upon continued fractions.
34, ter. Heine. Auszug eines Schreibens iiber Kettenbriiche von Herrn
E. Heine an den Herausgeber. Jour. fur Math., vol. 53, pp.
284-285, 1857.
See also 40c, p. 231.
35. Euler. (a) Commentatio in fractionem continuam in qua illustris
Lagrange potestates binomiales expressit. Memoires de 1'Acad.
imp. des sciences de St. Petersbourg, vol. 6, pp. 3-11, 1818.