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A Further Result Related to a Conjecture of R. Bruck

Kai Liu|Nan Li|Lian-Zhong Yang
경북대학교 자연과학대학 수학과|2016.06|Kyungpook Mathematical Journal|제56권 제2호|pp. 451-464

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참고문헌

키워드

Meromorphic functionShared valueSmall function.
주제분류수학

초록

In this paper, we investigate the uniqueness problem of a meromorphic functionsharing one small function with its differential polynomial, and give a result which isrelated to a conjecture of R. Br¨uck.

Abstract

In this paper, we investigate the uniqueness problem of a meromorphic functionsharing one small function with its differential polynomial, and give a result which isrelated to a conjecture of R. Br¨uck.

참고문헌 (18)

  1. R. Bruck, "On entire functions that share one value CM with their derivative", Results in Math, 30, pp.21~24 (1996)
  2. Z. X. Chen, "On conjecture of R. BrÄuck concerning the entire function sharing one value CM with its derivative", Taiwanese J. Math., 8, pp.235~244 (2004)
  3. G. G. Gundersen, "Entire functions that share one value with one or two of their derivatives", J. Math. Anal. Appl., 223, pp.88~95 (1998)
  4. W. K. Hayman, "The local growth of power series: a survey of the Wiman-Valiron method", Canad. Math. Bull., 17, pp.317~358 (1974)
  5. I. Lahiri, "Uniqueness of a meromorphic function and its derivative", J. Inequal. Pure Appl. Math, 5(1) (2004)
  6. I. Laine, "Nevanlinna Theory and Complex Differential Equation" (1993), Walter de Gruyter
  7. Nan Li, "Meromorphic Function that Shares One Small Function with its Differential Polynomial", Kyungpook Mathematical Journal, 50(3), pp.447~454 (2010), 경북대학교 자연과학대학 수학과
  8. L. P. Liu, "Uniqueness of meromorphic functions that share one small function with their derivatives", Kodai Math. J., 27, pp.272~279 (2004)
  9. L. Yang, "Value Distribution Theory" (1993), Springer-Verlag
  10. L. Z. Yang, "Solution of a differential equation and its applications", Kodai Math. J, 22, pp.458~464 (1999)
  11. H. X. Yi, "Uniqueness of meromorphic functions and a question of C.C.Yang", Complex Variables, 14, pp.169~176 (1990)
  12. H. X. Yi, "Uniqueness theory of meromorphic functions" (1995), Science Press
  13. H. X. Yi, "Uniqueness theorems for meromorphic functions whose n-th derivatives share the same 1-points", Complex Variables, 34, pp.421~436 (1997)
  14. K. W. Yu, "On entire and meromorphic functions that share small functions with their derivatives", J. Ineq. Pure and Appl. Math., 4(1) (2003)
  15. J. L. Zhang, "Some results related to a conjecture of R. BrÄuck concerning meromorphic functions sharing one small function with their derivatives", Annales Academiae Scientiarum Fennicae Mathematica, 32(1), pp.141~149 (2007)
  16. J. L. Zhang, "Some results related to a conjecture of R.Bruck", J. Ineq. Pure Appl. Math, 8(1) (2007)
  17. Q. C. Zhang, "The uniqueness of meromorphic functions with their derivatives", Kodai Math. J., 21(2), pp.179~184 (1998)
  18. Q. C. Zhang, "Meromorphic function that share one small function with its derivative", J. Ineq. Pure Appl. Math., 6(4) (2005)

관련 논문AI추천

Meromorphic Functions Sharing a Small Function with their Differential PolynomialsJilong Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제3호Meromorphic Function that Shares One Small Function with its Differential PolynomialLian-Zhong Yang, Nan Li경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제3호Brück Conjecture for a linear differential polynomialBipul Pal, Indrajit Lahiri대한수학회 · 대한수학회논문집2018 · 제33권 제3호A note on the Bruck conjectureFeng Lu대한수학회 · 대한수학회보2011 · 제48권 제5호Some results on complex differential-difference analogue of Bruck conjectureMin Feng Chen, Zong Sheng Gao대한수학회 · 대한수학회논문집2017 · 제32권 제2호Meromorphic Functions Sharing a Small Function with Their DerivativesJilong Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제1호

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