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Research Article Open access CC BY 4.0

On the Entire Solutions of a Nonlinear Differential Equation of Hayman

Caiping Zhuo, Zanchun Wang, Weiran L¨u

Journal of Advances in Mathematics and Computer Science · pp. 408–413 · Published 14 Nov 2014

10.9734/BJMCS/2015/14212

Abstract

Aims/ objectives: Hayman [1] proposed to study the meromorphic solutions of nonlinear differential equations of the form: where κj (j = 0; 1; 2; 3) are constants. In this note, by using a new method, we give a unified and simplified proof for these known results.

Entire solutions differential equation Nevanlinna theory

References (8)

  1. 1 Uniqueness Theory of Meromorphic Functions [DOI]
  2. 2 Nevanlinna Theory and Complex Differential Equations [DOI]
  3. 3 On deficiencies of differential polynomials, II [DOI]
  4. 4 On the Growth of Solutions of Algebraic Differential Equations [DOI]
  5. 5 Some results on analytic and meromorphic solutions of algebraic differential equations [DOI]
  6. 6 On the meromorphic solutions of an equation of Hayman [DOI]
  7. 7 �ber das Anwachsen der L�sungen homogener algebraischer Differentialgleichungen zweiter Ordnung [DOI]
  8. 8 On Hayman's differential equations [DOI]

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