Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On the numerators of the convergents of the Stieltjes continued fractions
HTML articles powered by AMS MathViewer

by Jacob Sherman PDF
Trans. Amer. Math. Soc. 35 (1933), 64-87 Request permission
References
    Stieltjes, Recherches sur les fractions continues, Oeuvres, vol. 2, pp. 398-566. O. Perron, Die Lehre von den Kettenbrüchen, 2d edition, 1929, Chapters VII, VIII, IX.
  • Hans Hamburger, Über eine Erweiterung des Stieltjesschen Momentenproblems, Math. Ann. 82 (1921), no. 3-4, 168–187 (German). MR 1511981, DOI 10.1007/BF01498663
  • J. Shohat and J. Sherman, On the numerators…, Proceedings of the National Academy of Sciences, vol. 18 (1932), pp. 283-287. Jacques Chokhate (J. Shohat), Sur le développement de l’intégrale \[ \int _a^b {\frac {{p(y)dy}}{{x - y}} \cdots ,} \] Rendiconti di Palermo, vol. 47 (1923), pp. 25-46.
  • J. Shohat, On Stieltjes Continued Fractions, Amer. J. Math. 54 (1932), no. 1, 79–84. MR 1506874, DOI 10.2307/2371078
  • Jacques Chokhate (J. Shohat), Sur une classe étendue de fractions continues…, Comptes Rendus, vol. 191 (1930), p. 988. Christoffel, Über die Gaussische Quadratur…, Crelle, vol. 55 (1858), pp. 61-83, where the differential equation for the Legendre case $\alpha = \beta = 1$ is obtained in an entirely different manner. P. Appell et J. Kampé de Fériet, Fonctions Hypergéométriques et Hypersphériques. Polynomes d’Hermite, Paris, 1926, p. 338. C. Possé, Sur quelques Applications des Fractions Continues Algébriques, St. Petersbourg, 1886. T. Carleman, Sur la résolution de certaines équations intégrales, Arkiv för Matematik, Astronomi och Fysik, vol. 16 (1922), No. 26.
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 40A15, 30B70
  • Retrieve articles in all journals with MSC: 40A15, 30B70
Additional Information
  • © Copyright 1933 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 35 (1933), 64-87
  • MSC: Primary 40A15; Secondary 30B70
  • DOI: https://doi.org/10.1090/S0002-9947-1933-1501672-3
  • MathSciNet review: 1501672