Kyungpook Mathematical Journal

  • 제47권3호
  • /
  • Pages.439-448
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  • 2007
  • /
  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
권호 표지

Entire Functions That Share One Value With Their Derivatives

  • Lu, Feng (Department of Mathematics, Shandong University) ;
  • Xu, Junfeng (Department of Mathematics, Shandong University)
  • 투고 : 2006.07.10
  • 발행 : 2007.09.23
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초록

In the paper, we use the theory of normal family to study the problem on entire function that share a finite non-zero value with their derivatives and prove a uniqueness theorem which improve the result of J.P. Wang and H.X. Yi.

키워드

참고문헌

  1. J. M. Chang and M. L. Fang and L. Zalcman, Normal families of holomorphic functions, Illinois Journsl of Mathematics, 48(2004), 319-337.
  2. J. Clunie and W. K. Hayman, The spherical derivative of integral and meromorphic functions, Comment. Math. Helv., 40(1966), 117-148.
  3. J. Schiff, Normal families, Springer (1993).
  4. P. Li and C. C. Yang, Uniqueness theorems on entire functions and their derivatives, J. Math. Anal. Appl., 253(2001) 50-57. https://doi.org/10.1006/jmaa.2000.7007
  5. W. K. Hayman, Meromorphic functions, The Clarendon Press, Oxford, 1964.
  6. J. P. Wang and H. X. Yi, Entire functions that share one value CM with theri derivates, J. Math. Anal. Appl., 277(2003), 155-163. https://doi.org/10.1016/S0022-247X(02)00526-7
  7. L. Z. Yang, Further results on entire functions that share one value with their derivatives, J. Math. Anal. Appl., 212(1997), 529-536. https://doi.org/10.1006/jmaa.1997.5528
  8. L. Z. Yang, Solution of a differential equation and its applications, Kodai. Math. J., 12(1999), 458-464.
  9. H. X. Yi and C. C. Yang, Uniqueness theory of meromorphic functions, Science Press, Beijing, 1995.
  10. C. C. Yang and H. X. Yi, Uniqueness theory of meromorphic functions, Kluwer Academic Publishers, 2003.