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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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On factorization of meromorphic functions
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by Fred Gross PDF
Trans. Amer. Math. Soc. 131 (1968), 215-222 Request permission
References
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  • Albert Edrei and Wolfgang H. J. Fuchs, On the zeros of $f(g(z))$ where $f$ and $g$ are entire functions, J. Analyse Math. 12 (1964), 243–255. MR 166356, DOI 10.1007/BF02807435
  • F. Gross, Entire solutions of the functional equation $\alpha (\beta (z)) = \alpha (\gamma (z)) + c$, J. Indian Math. Soc. (to appear).
  • Fred Gross, On the periodicity of compositions of entire functions, Canadian J. Math. 18 (1966), 724–730. MR 196084, DOI 10.4153/CJM-1966-072-7
  • W. K. Hayman, Meromorphic functions, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1964. MR 0164038
  • Einar Hille, Analytic function theory. Vol. II, Introductions to Higher Mathematics, Ginn and Company, Boston, Mass.-New York-Toronto, Ont., 1962. MR 0201608
  • R. Nevanlinna, Le théorème de Picard-Borel et la théorie des fonctions méromorphes, Gauthier-Villars, Paris, 1929. G. Pólya, On an integral function of an integral function, J. London Math. Soc. 1 (1926), 12.
  • Alfréd Rényi and Catherine Rényi, Some remarks on periodic entire functions, J. Analyse Math. 14 (1965), 303–310. MR 178148, DOI 10.1007/BF02806397
  • P. C. Rosenbloom, The fix-points of entire functions, Comm. Sém. Math. Univ. Lund [Medd. Lunds Univ. Mat. Sem.] 1952 (1952), no. Tome Supplémentaire, 186–192. MR 51916
  • W. J. Thron, Entire solutions of the functional equation $f(f(z))=g(z)$, Canadian J. Math. 8 (1956), 47–48. MR 74690, DOI 10.4153/CJM-1956-008-4
  • J. M. Whittaker, The lower order of integral functions, J. London Math. Soc. 8 (1933), 20-27.
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Additional Information
  • © Copyright 1968 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 131 (1968), 215-222
  • MSC: Primary 30.60
  • DOI: https://doi.org/10.1090/S0002-9947-1968-0220936-0
  • MathSciNet review: 0220936