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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.

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Regularity criteria for integral and meromorphic functions
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by J. M. Anderson PDF
Trans. Amer. Math. Soc. 124 (1966), 185-200 Request permission
References
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  • N. A. Bowen, A function-theory proof of Tauberian theorems on integral functions, Quart. J. Math. Oxford Ser. 19 (1948), 90–100. MR 24980, DOI 10.1093/qmath/os-19.1.90
  • Albert Edrei, The deficiencies of meromorphic functions of finite lower order, Duke Math. J. 31 (1964), 1–21. MR 158079
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  • A. A. Gol’dberg and I. V. Ostrovskii, Some theorems on the growth of meromorphic functions, Kharkov Gos. Univ. Uč. Zap. 4 (1961), 27.
  • W. K. Hayman, Meromorphic functions, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1964. MR 0164038
  • Maurice Heins, Entire functions with bounded minimum modulus; subharmonic function analogues, Ann. of Math. (2) 49 (1948), 200–213. MR 23342, DOI 10.2307/1969122
  • Bo Kjellberg, On the minimum modulus of entire functions of lower order less than one, Math. Scand. 8 (1960), 189–197. MR 125967, DOI 10.7146/math.scand.a-10608
  • Bo Kjellberg, A theorem on the minimum modulus of entire functions, Math. Scand. 12 (1963), 5–11. MR 159942, DOI 10.7146/math.scand.a-10666
  • I. V. Ostrovskiĭ, Deficiencies of meromorphic functions of order less than one, Dokl. Akad. Nauk SSSR 150 (1963), 32–35 (Russian). MR 0148921
  • R. E. A. C. Paley, A note on integral functions, Proc. Cambridge Philos. Soc. 28 (1932), 262-265. G. Valiron, Sur le minimum du module des fonctions entières d’ordre inferieur à un, Mathematica 11 (1935), 264-269. A. Wahlund, Über einem Zusammenhang zwischen dem Maximalbetrage der ganzen Funktion und seiner unteren Grenze nach dem Jensen’schen Theoreme, Ark. Mat. Astronom. Fys. 21A, No. 23 (1929), 34 pp.
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Additional Information
  • © Copyright 1966 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 124 (1966), 185-200
  • MSC: Primary 30.55; Secondary 30.60
  • DOI: https://doi.org/10.1090/S0002-9947-1966-0197724-5
  • MathSciNet review: 0197724