대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제43권1호
  • /
  • Pages.161-168
  • /
  • 2006
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

NON-LINEAR DIFFERENTIAL POLYNOMIALS SHARING 1-POINTS

  • Lahiri Indrahit (DEPARTMENT OF MATHEMATICS, UNIVERSITY OF KALYANI) ;
  • Pal Rupa (DEPARTMENT OF MATHEMATICS, UNIVERSITY OF KALYANI)
  • 발행 : 2006.02.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

We prove two theorems on the uniqueness of nonlinear differential polynomials sharing 1-points, the first of which improves a recent result of Fang-Fang and Lin-Yi.

키워드

참고문헌

  1. M. L. Fang and W. Hong, A unicity theorem for entire functions concerning dif- ferential polynomials, Indian J. Pure Appl. Math. 32 (2001), no. 9, 1343-1348
  2. C. Y. Fang and M. L. Fang, Uniqueness of meromorphic functions and differential polynomials, Comput. Math. Appl. 44 (2002), no. 5-6, 607-617 https://doi.org/10.1016/S0898-1221(02)00175-X
  3. W. K. Hayman, Meromorphic functions, Oxford Mathematical Monographs, The Clarendon Press, Oxford, 1964
  4. I. Lahiri, Uniqueness of meromorphic functions when two linear differential poly- nomials share the same 1-points, Ann. Polon. Math. 71 (1999), no. 2, 113-128 https://doi.org/10.4064/ap-71-2-113-128
  5. I. Lahiri and A. Sarkar, Uniqueness of a meromorphic function and its derivative, JIPAM J. Inequal. Pure Appl. Math. 5 (2004), no. 1, Article 20 (electronic); http://jipam.vu.edu.au/
  6. I. Lahiri and P. Sahoo, Uniqueness of non-linear differential polynomials sharing 1-points, Georgian Math. J. 12 (2005), no. 1, 131-138
  7. W. C. Lin, Uniqueness of differential polynomials and a problem of Lahiri, Pure Appl. Math. 17 (2001), no. 2, 104-110 (in Chinese)
  8. W. C. Lin and H. X. Yi, Uniqueness theorems for meromorphic function, Indian J. Pure Appl. Math. 35 (2004), no. 2, 121-132
  9. C. C. Yang, On deficiencies of differential polynomials II, Math. Z. 125 (1972), 107-112 https://doi.org/10.1007/BF01110921

피인용 문헌

  1. Uniqueness of Certain Non-Linear Differential Polynomials Sharing 1-Points vol.51, pp.1, 2011, https://doi.org/10.5666/KMJ.2011.51.1.043
  2. Uniqueness of Transcendental Meromorphic Functions with Their Nonlinear Differential Polynomials Sharing the Small Function vol.2007, 2007, https://doi.org/10.1155/2007/84961
  3. A uniqueness result related to certain non-linear differential polynomials sharing the same 1-points vol.61, pp.2, 2011, https://doi.org/10.2478/s12175-011-0004-7
  4. Non-linear differential polynomials sharing small function with finite weight vol.4, pp.1, 2015, https://doi.org/10.1007/s40065-014-0113-6
  5. Value Distributions and Uniqueness of Difference Polynomials vol.2011, 2011, https://doi.org/10.1155/2011/234215
  6. THE UNIQUENESS OF MEROMORPHIC FUNCTIONS WHOSE DIFFERENTIAL POLYNOMIALS SHARE SOME VALUES vol.33, pp.5_6, 2015, https://doi.org/10.14317/jami.2015.475