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Uniqueness of meromorphic function with its $k$-th derivative sharing two small functions under different weights

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In the paper, we have exhaustively studied about the uniqueness of meromorphic function sharing two small functions with its $k$-th derivative as these types of results have never been studied earlier. We have obtained a series of results which will improve and extend some recent results of Banerjee-Maity \cite{Ban-Maity_Contemp.}.

Abstract

In the paper, we have exhaustively studied about the uniqueness of meromorphic function sharing two small functions with its $k$-th derivative as these types of results have never been studied earlier. We have obtained a series of results which will improve and extend some recent results of Banerjee-Maity \cite{Ban-Maity_Contemp.}.

참고문헌 (12)

  1. A. Banerjee, "On two shared values problem related to iniqueness of meromorphic function and its kth derivative", J. Contemp. Math. Anal, 56(2), pp.68~79 (2021)
  2. B. Chen, "Uniqueness of the meromorphic function sharing two values with its derivatives", Pure Math, 8(4), pp.378~382 (2018)
  3. U. Chundang, "Meromorphic functions that share two finite values with their derivative. II", Thai J. Math, 6(1), pp.9~15 (2008)
  4. G. Frank, "Meromorphe Funktionen, die mit einer ihrer Ableitungen Werte teilen", Complex Variables Theory Appl, 7(1-3), pp.33~43 (1986)[DOI]
  5. I. Lahiri, "Weighted sharing and uniqueness of meromorphic functions", Nagoya Math. J, 161, pp.193~206 (2001)[DOI]
  6. I. Lahiri, "Weighted value sharing and uniqueness of meromorphic functions", Complex Variables Theory Appl, 46(3), pp.241~253 (2001)[DOI]
  7. P. Li, "When an entire function and its linear differential polynomial share two values", Illinois J. Math, 44(2), pp.349~362 (2000)[DOI]
  8. G. Qiu, "Uniqueness of entire functions that share some small functions", Kodai Math. J, 23(1), pp.1~11 (2000)[DOI]
  9. L. A. Rubel, "Values shared by an entire function and its derivative, in Complex analysis (Proc. Conf., Univ. Kentucky, Lexington, Ky., 1976)", Lecture Notes in Math, 599, pp.101~103 (1977), Springer
  10. S. Tanaiadchawoot, "Functions that share two finite values with their derivative", Thai J. Math, 4(2), pp.383~388 (2006)
  11. Q. C. Zhang, "The uniqueness of meromorphic functions with their derivatives", Kodai Math. J, 21(2), pp.179~184 (1998)[DOI]
  12. Q. C. Zhang, "Uniqueness of meromorphic functions with their derivatives", Acta Math. Sinica(Chinese Ser. ), 45(5), pp.871~876 (2002)

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