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Results in Mathematics

, Volume 30, Issue 3–4, pp 310–320 | Cite as

Further results on factorization of meromorphic solutions of partial differential equations

  • Pei-Chu Hu
  • Chung-Chun Yang
Article

Abstract

This paper is a continuation of Hu-Yang [2]. Here we extend Malmquist type theorem ofalgebraic differential equations of Steinmetz [3] and Tu [4] to higher order partial differential equations. The results also generalize Theorems 4.2 and 4.3 in [2].

1991 Mathematics Subject Classification

primary 32A20 32A22 32H30; Secondary 30D35 

Keywords

partial differential equations malmquist type theorems value distribution 

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References

  1. 1.
    Hörmander, L., An introduction to complex analysis in several variables, Van Nostrand. Princeton, N.J. 1966.zbMATHGoogle Scholar
  2. 2.
    Hu, P.C. and Yang C.C., Malmquist type theorem and factorization of meromorphic solutions of partial differential equations, Complex Variables, 27 (1995), 269–285.MathSciNetzbMATHCrossRefGoogle Scholar
  3. 3.
    Steinmetz, N., Eigenschaften eindeutiger Lösungen gewöhnlicher Differentialgleichungen im Komplexen, Karlsruhe; Dissertation, 1978.zbMATHGoogle Scholar
  4. 4.
    Tu, Z.H., A Malmquist type theoreme of some generalized higher order algebraic differential equations, Complex Variables, 17 (1992), 265–275.zbMATHCrossRefGoogle Scholar
  5. 5.
    Vitter, A., The lemma of the logarithmic derivative in several complex variables, Duke Math. J. 44 (1977), 89–104.MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Birkhäuser Verlag, Basel 1996

Authors and Affiliations

  • Pei-Chu Hu
    • 1
  • Chung-Chun Yang
    • 1
  1. 1.Department of Mathematics The Hong KongUniversity of Science &; TechnologyHong Kong

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