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Uniqueness of Entire Functions Sharing Polynomials with Their Derivatives

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In this paper, we investigate the uniqueness problem of entire functions sharing two polynomials with their k-th derivatives. We also provide some examples to show that the conditions taken in our result are best possible.

Abstract

In this paper, we investigate the uniqueness problem of entire functions sharing two polynomials with their k-th derivatives. We also provide some examples to show that the conditions taken in our result are best possible.

참고문헌 (22)

  1. A. Al-Khaladi, "On meromorphic functions that share one value with their derivatives", Analysis, 25, pp.131~140 (2005)
  2. R. Bruck, "On entire functions which share one value CM with their first derivative", Results Math, 30, pp.21~24 (1996)
  3. Z. X. Chen, "On conjecture of R. Bruck concerning entire function sharing one value CM with its derivative", Taiwanese J. Math, 8, pp.235~244 (2004)
  4. J. Clunie, "On integral and meromorphic functions", J. London Math. Soc, 37, pp.17~27 (1962)
  5. G. G. Gundersen, "Meromorphic functions that share finite values with their deriva-tives", J. Math. Anal. Appl, 75, pp.441~446 (1980)
  6. 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)
  7. W. K. Hayman, "Meromorphic Functions" (1964), The Clarendon Press
  8. G. Jank, "Meromorphe Funktionen, die mit ihrer ersten und zweiten Ableitung einen endchen Wert teilen", Complex Variables Theory Appl, 6, pp.51~71 (1986)
  9. I. Laine, "Nevanlinna Theory and Complex Differential Equations" (1993), Walter de Gruyter
  10. Weiran Lu, "On the transcendental entire solutions of a class of differential equations", 대한수학회보, 51(5), pp.1281~1289 (2014), 대한수학회
  11. Feng Lu, "THE BRUCK CONJECTURE AND ENTIRE FUNCTIONS SHARING POLYNOMIALS WITH THEIR k-TH DERIVATIVES", 대한수학회지, 48(3), pp.499~512 (2011), 대한수학회
  12. Sujoy Majumder, "A result on a conjecture of W. L\"{u}, Q. Li and C. Yang", 대한수학회보, 53(2), pp.411~421 (2016), 대한수학회
  13. S. Majumder, "Values shared by meromorphic functions and their derivatives", Arab J. Math. Sci, 22, pp.265~274 (2016)
  14. L. A. Rubel, "Values shared by an entire function and its derivative, Complex Analysis", Proc. Conf., Univ. Kentucky, pp.101~103 (1976)
  15. C. C. Yang, "On deficiencies of differential polynomials II", Math. Z., 125, pp.107~112 (1972)
  16. L. Z. Yang, "Entire functions that share finite values with their derivatives", Bull. Aust. Math. Soc., 41, pp.337~342 (1990)
  17. C.-C. Yang, "Uniqueness theory of meromorphic functions" (1995), Science Press
  18. L.-Z. Yang, "Non-existence of meromorphic solutions of Fermat Type functional equation", Aequationes Math, 76, pp.140~150 (2008)
  19. H. X. Yi, "On characteristic function of a meromorphic function and its derivative", Indian J. Math, 33, pp.119~133 (1991)
  20. Q. C. Zhang, "Meromorphic function that shares one small function with its derivative", JIPAM. J. Inequal. Pure. Appl. Math, 6, pp.13~ (2005)
  21. J.-L. Zhang, "Some results related to a conjecture of R. Bruck", JIPAM. Inequal. Pure Appl. Math, 8, pp.11~ (2007)
  22. J.-L. Zhang, "A Power of an entire function sharing one value with its derivative", Comput. Math. Appl, 60, pp.2153~2160 (2010)

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