DOI QR코드

DOI QR Code

BRÜCK CONJECTURE AND A LINEAR DIFFERENTIAL POLYNOMIAL

  • Lahiri, Indrajit (Department of Mathematics University of Kalyani) ;
  • Pal, Bipul (Department of Mathematics University of Kalyani)
  • Received : 2017.06.07
  • Accepted : 2017.08.18
  • Published : 2018.07.31

Abstract

In the paper we consider the uniqueness of a meromorphic function and a linear differential polynomial when they share a small function.

Keywords

meromorphic function;differential polynomial;sharing small function

Acknowledgement

Supported by : NBHM

References

  1. A. H. H. Al-Khaladi, On entire functions which share one small function CM with their first derivative, Kodai Math. J. 27 (2004), no. 3, 201-205. https://doi.org/10.2996/kmj/1104247345
  2. A. H. H. Al-Khaladi, Meromorphic functions that share one small function with their first derivative, Analysis (Berlin) 31 (2011), no. 4, 341-354. https://doi.org/10.1524/anly.2011.1128
  3. R. Bruck, On entire functions share one value CM with their first derivative, Results Math. 30 (1996), no. 1-2, 21-24. https://doi.org/10.1007/BF03322176
  4. J. F. Chen and G. R. Wu, On an entire function sharing one small function CM, Southeast Asian Bull. Math. 34 (2010), no. 1, 51-57.
  5. W. K. Hayman, Meromorphic Functions, The Clarendon Press, Oxford, 1964.
  6. W. K. Hayman and J. Miles, On the growth of a meromorphic function and its derivatives, Complex Variables Theory Appl. 12 (1989), no. 1-4, 245-260. https://doi.org/10.1080/17476938908814369
  7. I. Lahiri and B. Pal, Bruck conjecture for a linear differential polynomial, J. Contemporary Math. Anal. 52 (2017), no. 1, 54-60.
  8. H. L. Qiu, Uniqueness of an entire function and its differential polynomial sharing one value, J. Nanjing Normal Univ. 25 (2002), 97-104.
  9. L. Z. Yang, Solution of a differential equation and its applications, Kodai Math. J. 22 (1999), no. 3, 458-464. https://doi.org/10.2996/kmj/1138044097