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Meromorphic Function that Shares One Small Function with its Differential Polynomial

Lian-Zhong Yang|Nan Li
경북대학교 자연과학대학 수학과|2010.09|Kyungpook Mathematical Journal|제50권 제3호|pp. 447-454

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참고문헌

키워드

Meromorphic functionsShared valueSmall function
주제분류수학

초록

In this paper, we investigate the uniqueness problems of meromorphic functions that share a small function with its differential polynomials, and give a result which is related to a conjecture of R. Bruck and improve the results of I. Lahiri and Q. C. Zhang.

Abstract

In this paper, we investigate the uniqueness problems of meromorphic functions that share a small function with its differential polynomials, and give a result which is related to a conjecture of R. Bruck and improve the results of I. Lahiri and Q. C. Zhang.

참고문헌 (16)

  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. Brück concerning the entire function sharing one value CM with its derivative", Taiwanese J. Math., 8, pp.235~244 (2004)
  3. G. G. Gundersen, "Meromorphic Functions that share finite values with their derivative", J. Math. Anal. Appl., 75, pp.441~446 (1980)
  4. 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)
  5. I. Lahiri, "Uniqueness of a meromorphic function and its derivative", J. Inequal. Pure Appl. Math, 5(1) (2004)
  6. L. P. Liu, "Uniqueness of meromorphic functions that share one small function with their derivatives", Kodai Math. J., 27, pp.272~279 (2004)
  7. L. A. Rubel, "Values shared by an entire function and its derivative", complex Analysis, Kentucky 1976, pp.101~103 (1977)
  8. L. Z. Yang, "Entire functions that share finite values with their derivatives", Bull. Austral. Math. Soc., 41, pp.337~342 (1990)
  9. L. Z. Yang, "Solution of a differential equation and its applications", Kodai Math. J, 22, pp.458~464 (1999)
  10. H. X. Yi, "Uniqueness theory of meromorphic functions" (1995), Science Press
  11. H. X. Yi, "Uniqueness theorems for meromorphic functions whose n-th derivatives share the same 1-points", Complex Variables, 34, pp.421~436 (1997)
  12. K. W. Yu, "On entire and meromorphic functions that share small functions with their derivatives", J. Ineq. Pure and Appl. Math., 4(1) (2003)
  13. J. L. Zhang, "Some results related to a conjecture of R. Bruck", J. Ineq. Pure Appl. Math, 8(1) (2007)
  14. J. L. Zhang, "Some results related to a conjecture of R. Brück concerning meromorphic functions sharing one small function with their derivatives", Annales Academiae Scientiarum Fennicae Mathematica, 32(1), pp.141~149 (2007)
  15. Q. C. Zhang, "The uniqueness of meromorphic functions with their derivatives", Kodai Math. J, 21, pp.179~184 (1998)
  16. 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 제3호A Further Result Related to a Conjecture of R. BruckKai Liu, Lian-Zhong Yang, Nan Li경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제2호Meromorphic Functions Sharing a Small Function with Their DerivativesJilong Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제1호Unicity of Meromorphic Function and its DerivativeAng Chen, Guowei Zhang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제1호Brück Conjecture for a linear differential polynomialBipul Pal, Indrajit Lahiri대한수학회 · 대한수학회논문집2018 · 제33권 제3호Uniqueness of meromorphic functions with their homogeneous and linear differential polynomials sharing a small functionBipul Pal, Indrajit Lahiri대한수학회 · 대한수학회보2017 · 제54권 제3호

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