Kyungpook Mathematical Journal

  • 제53권2호
  • /
  • Pages.191-205
  • /
  • 2013
  • /
  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
권호 표지
DOI QR코드

DOI QR Code

Meromorphic Functions Sharing a Nonzero Polynomial IM

  • Sahoo, Pulak (Department of Mathematics, University of Kalyani)
  • 투고 : 2011.01.12
  • 심사 : 2012.07.24
  • 발행 : 2013.06.23
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

We study the uniqueness of meromorphic functions concerning nonlinear differential polynomials sharing a nonzero polynomial IM. Though the main concern of the paper is to improve a recent result of the present author [12], as a consequence of the main result we also generalize two recent results of X. M. Li and L. Gao [11].

키워드

참고문헌

  1. T. C. Alzahary and H. X. Yi, Weighted value sharing and a question of I. Lahiri, Complex Var. Theory Appl., 49(2004), 1063-1078. https://doi.org/10.1080/02781070410001701074
  2. A. Banerjee, Meromorphic functions sharing one value, Int. J. Math. Math. Sci., 22(2005), 3587-3598.
  3. W. Bergweiler and X. C. Pang, On the derivative of meromorphic functions with multiple zeros, J. Math. Anal. Appl., 278(2003), 285-292. https://doi.org/10.1016/S0022-247X(02)00349-9
  4. M. L. Fang, A note on a problem of Hayman, Analysis (Munich), 20(2000), 45-49.
  5. M. L. Fang and H. L. Qiu, Meromorphic functions that share fixed points, J. Math. Anal. Appl., 268(2002), 426-439. https://doi.org/10.1006/jmaa.2000.7270
  6. W. K. Hayman, Picard values of meromorphic Functions and their derivatives, Ann. of Math., 70(1959), 9-42. https://doi.org/10.2307/1969890
  7. W. K. Hayman, Meromorphic Functions, The Clarendon Press, Oxford (1964).
  8. I. Lahiri, Weighted value sharing and uniqueness of meromorphic functions, Complex Var. Theory Appl., 46(2001), 241-253. https://doi.org/10.1080/17476930108815411
  9. I. Lahiri, Value distribution of certain differential polynomials, Int. J. Math. Math. Sc., 28(2001), 83-91. https://doi.org/10.1155/S0161171201011036
  10. I. Lahiri, On a question of Hong Xun Yi, Arch Math. (Brno), 38(2002), 119-128.
  11. X. M. Li and L. Gao, Meromorphic functions sharing a nonzero polynomial CM, Bull. Korean Math. Soc., 47(2010), 319-339. https://doi.org/10.4134/BKMS.2010.47.2.319
  12. P. Sahoo, Uniqueness of meromorphic functions when two differential polynomials share one value IM, Mat. Vesnik, 62(2010), 169-182.
  13. C. C. Yang, On deficiencies of differential polynomials II, Math. Z., 125(1972), 107-112. https://doi.org/10.1007/BF01110921
  14. C. C. Yang and X. H. Hua, Uniqueness and value sharing of meromorphic functions, Ann. Acad. Sci. Fenn. Math., 22(1997), 395-406.
  15. L. Yang, Value Distribution Theory, Springer- Verlag, Berlin, 1993.
  16. H. X. Yi and C. C. Yang, Uniqueness Theory of Meromorphic Functions, Science Press, Beijing, 1995.
  17. Q. C. Zhang, Meromorphic function that shares one small function with its derivative, J. Inequal. Pure Appl. Math., 6(2005), Art. 116.