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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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.

 

Derivatives of infinite order
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by R. P. Boas Jr. and K. Chandrasekharan PDF
Bull. Amer. Math. Soc. 54 (1948), 523-526

Addendum: Proc. Amer. Math. Soc. 2 (1951), 422.
Correction: Bull. Amer. Math. Soc., Volume 54, Number 12 (1948), 1191--1191
References
  • Thøger Bang, Om quasi-analytiske Funktioner, University of Copenhagen, Copenhagen, 1946 (Danish). Thesis. MR 0017782
  • 2. R. P. Boas, Jr., A theorem on analytic functions of a real variable, Bull. Amer. Math. Soc. vol. 41 (1935) pp. 233-236.
  • H. Cartan and S. Mandelbrojt, Solution du problème d’équivalence des classes de fonctions indéfiniment dérivables, Acta Math. 72 (1940), 31–49 (French). MR 1782, DOI 10.1007/BF02546327
  • 4. P. Dienes, The Taylor series, Oxford, 1931. 5. V. Ganapathy Iyer, Sur un problème de M. Carleman, C. R. Acad. Sci. Paris. vol. 199 (1934) pp. 1371-1373.
  • V. Ganapathy Iyer, On singular functions, J. Indian Math. Soc. (N.S.) 8 (1944), 94–108. MR 13172
  • J. D. Hill, Some properties of summability, Duke Math. J. 9 (1942), 373–381. MR 6377
  • S. Mandelbrojt, Analytic functions and classes of infinitely differentiable functions, Rice Inst. Pamphlet 29 (1942), no. 1, 142. MR 6354
  • Alfred Pringsheim, Zur Theorie der Taylor’schen Reihe und der analytischen Functionen mit beschränktem Existenzbereich, Math. Ann. 42 (1893), no. 2, 153–184 (German). MR 1510771, DOI 10.1007/BF01444177
  • 10. G. Vitali, Sui limiti per n = ∞ delle derivate nma delle funzioni analitiche, Rend. Circ. Mat. Palermo vol. 14 (1900) pp. 209-216.
  • Zygmunt Zahorski, Sur l’ensemble des points singuliers d’une fonction d’une variable réelle admettant les dérivées de tous les ordres, Fund. Math. 34 (1947), 183–245 (French). MR 25545, DOI 10.4064/fm-34-1-183-245
Additional Information
  • Journal: Bull. Amer. Math. Soc. 54 (1948), 523-526
  • DOI: https://doi.org/10.1090/S0002-9904-1948-09031-0
  • MathSciNet review: 0025527