Skip to Main Content

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.

 

A uniqueness theorem with moving targets without counting multiplicity
HTML articles powered by AMS MathViewer

by Min Ru PDF
Proc. Amer. Math. Soc. 129 (2001), 2701-2707 Request permission

Abstract:

In this paper, we prove a uniqueness theorem for holomorphic curves with moving targets without counting multiplicity.
References
  • Hirotaka Fujimoto, The uniqueness problem of meromorphic maps into the complex projective space, Nagoya Math. J. 58 (1975), 1–23. MR 393586, DOI 10.1017/S0027763000016676
  • Shanyu Ji, Uniqueness problem without multiplicities in value distribution theory, Pacific J. Math. 135 (1988), no. 2, 323–348. MR 968616, DOI 10.2140/pjm.1988.135.323
  • Seiki Mori, Remarks on holomorphic mappings, Value distribution theory and its applications (New York, 1983) Contemp. Math., vol. 25, Amer. Math. Soc., Providence, RI, 1983, pp. 101–113. MR 730040, DOI 10.1090/conm/025/730040
  • Nevanlinna, R.: Einige Eindeutigkeitssätze in der Theorie der meromorphen Funketionen. Acta. Math., 48, 367-391, 1926.
  • Min Ru and Wilhelm Stoll, The second main theorem for moving targets, J. Geom. Anal. 1 (1991), no. 2, 99–138. MR 1113373, DOI 10.1007/BF02938116
  • Ru, Min and Wang, J.: A second main type inequality for holomorphic curves intersecting hyperplanes. To appear.
  • Smiley, L.: Dependence theorems for meromorphic maps. Notre Dame Thesis, 1979.
  • Wilhelm Stoll, On the propagation of dependences, Pacific J. Math. 139 (1989), no. 2, 311–337. MR 1011216, DOI 10.2140/pjm.1989.139.311
  • Zhang, Q.:An uniqueness theorem for meromorphic functions with small growth functions. Acta Mathematica Sinica, 636, 827-833, 1993.
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 32H30
  • Retrieve articles in all journals with MSC (2000): 32H30
Additional Information
  • Min Ru
  • Affiliation: Department of Mathematics, University of Houston, Houston, Texas 77204
  • Email: minru@math.uh.edu
  • Received by editor(s): January 18, 2000
  • Published electronically: February 9, 2001
  • Additional Notes: The author is supported in part by NSF grant DMS-9800361 and by NSA grant MDA904-99-1-0034
  • Communicated by: Steven R. Bell
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 2701-2707
  • MSC (2000): Primary 32H30
  • DOI: https://doi.org/10.1090/S0002-9939-01-06040-3
  • MathSciNet review: 1838794