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Further results on factorization of meromorphic solutions of partial differential equations

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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].

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References

  1. Hörmander, L., An introduction to complex analysis in several variables, Van Nostrand. Princeton, N.J. 1966.

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  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.

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  3. Steinmetz, N., Eigenschaften eindeutiger Lösungen gewöhnlicher Differentialgleichungen im Komplexen, Karlsruhe; Dissertation, 1978.

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Authors and Affiliations

  1. Department of Mathematics The Hong Kong, University of Science &; Technology, Hong Kong

    Pei-Chu Hu & Chung-Chun Yang

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  1. Pei-Chu Hu
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  2. Chung-Chun Yang
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Hu, PC., Yang, CC. Further results on factorization of meromorphic solutions of partial differential equations. Results. Math. 30, 310–320 (1996). https://doi.org/10.1007/BF03322198

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  • DOI: https://doi.org/10.1007/BF03322198

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