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Brück Conjecture for a linear differential polynomial

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In the paper we consider the uniqueness of a meromorphic function and a linear differential polynomial when they share a small function.

Abstract

In the paper we consider the uniqueness of a meromorphic function and a linear differential polynomial when they share a small function.

참고문헌 (9)

  1. A. H. H. Al-Khaladi, "On entire functions which share one small function CM with their first derivative", Kodai Math. J., 27(3), pp.201~205 (2004)[DOI]
  2. A. H. H. Al-Khaladi, "Meromorphic functions that share one small function with their first derivative", Analysis (Berlin), 31(4), pp.341~354 (2011)
  3. R. Bruck, "On entire functions share one value CM with their first derivative", Results Math., 30(1-2), pp.21~24 (1996)[DOI]
  4. J. F. Chen, "On an entire function sharing one small function CM", Southeast Asian Bull. Math., 34(1), pp.51~57 (2010)
  5. W. K. Hayman, "Meromorphic Functions" (1964), The Clarendon Press
  6. W. K. Hayman, "On the growth of a meromorphic function and its derivatives", Complex Variables Theory Appl., 12(1-4), pp.245~260 (1989)[DOI]
  7. I. Lahiri, "Bruck conjecture for a linear differential polynomial", J. Contemporary Math. Anal., 52(1), pp.54~60 (2017)
  8. H. L. Qiu, "Uniqueness of an entire function and its differential polynomial sharing one value", J. Nanjing Normal Univ., 25, pp.97~104 (2002)
  9. L. Z. Yang, "Solution of a differential equation and its applications", Kodai Math. J., 22(3), pp.458~464 (1999)[DOI]

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