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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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.

 

Values of entire functions represented by gap Dirichlet series
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by F. Sunyer i Balaguer PDF
Proc. Amer. Math. Soc. 4 (1953), 310-322 Request permission
References
  • Gustav Doetsch, Über die obere Grenze des absoluten Betrages einer analytischen Funktion auf Geraden, Math. Z. 8 (1920), no. 3-4, 237–240 (German). MR 1544441, DOI 10.1007/BF01206529
  • K. L. Hiong, Sur les fonctions entières et les fonctions meromorphes d’ordre infini, Journal de Mathématiques (9) vol. 14 (1935) p. 233.
  • S. Mandelbrojt, Dirichlet series, Rice Inst. Pamphlet 31 (1944), 159–272. MR 12163
  • —, Sur une inégalité fondamentale, Ann. École Norm. (3) vol. 63 (1947) p. 351.
  • S. Mandelbrojt, Quasi-analyticity and analytic continuation—a general principle, Trans. Amer. Math. Soc. 55 (1944), 96–131. MR 9635, DOI 10.1090/S0002-9947-1944-0009635-1
  • R. Nevanlinna, Eindeutige analytische Funktionen, Berlin, 1936. G. Pólya, Untersuchungen über Lucken und Singularitäte von Potenzreihen, Math. Zeit. vol. 29 (1929) p. 549. K. Sugimura, Übertragung einiger Satze ans der Theorie der ganzen Funktionen auf Dirichletschen Reihen, Math. Zeit. vol. 29 (1929) p. 264. F. Sunyer i Balaguer, Sur la substitution d’une valeur exceptionnelle par une propriété lacunaire, C. R. Acad. Sci. Paris vol. 224 (1947) pp. 1609-1611 and vol. 225 (1947) pp. 21-23; for the proofs see Acta Math. vol. 87 (1952) pp. 17-31. —, Propiedades de las funciones enteras representadas por series de Taylor lagunares (orden finito), Collectanea Mathematica vol. 2 (1949) p. 129. V. Bernstein, Sulle direcioni di Borel di funzioni olomorfe, Annali di Mat. (4) vol. 12 (1934).
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Additional Information
  • © Copyright 1953 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 4 (1953), 310-322
  • MSC: Primary 30.0X
  • DOI: https://doi.org/10.1090/S0002-9939-1953-0053214-8
  • MathSciNet review: 0053214