Publisher : Department of Mathematics, Kyungpook National University
DOI : 10.5666/KMJ.2010.50.3.447
Title & Authors
Meromorphic Function that Shares One Small Function with its Differential Polynomial Li, Nan; Yang, Lian-Zhong;
In this paper, we investigate the uniqueness problems of meromorphic functions that share a small function with its differential polynomials, and give a result which is related to a conjecture of R. Brck and improve the results of I. Lahiri and Q. C. Zhang.
ON THE GENERALIZATIONS OF BRÜCK CONJECTURE, Communications of the Korean Mathematical Society, 2016, 31, 2, 311
A Further Result Related to a Conjecture of R. Brück, Kyungpook mathematical journal, 2016, 56, 2, 451
On Entire and Meromorphic Functions That Share One Small Function with Their Differential Polynomial, International Journal of Analysis, 2013, 2013, 1
R. Bruck, On entire functions that share one value CM with their derivative, Results in Math, 30(1996), 21-24.
Z. X. Chen and K. H. Shon, On conjecture of R. Bruck concerning the entire function sharing one value CM with its derivative, Taiwanese J. Math., 8(2004), 235-244.
G. G. Gundersen, Meromorphic Functions that share finite values with their derivative, J. Math. Anal. Appl., 75(1980),441-446.(correction:86(1982), 307.)
G. G. Gundersen and L. Z. Yang, Entire functions that share one value with one or two of their derivatives, J. Math. Anal. Appl., 223(1998), 88-95.
I. Lahiri, Uniqueness of a meromorphic function and its derivative, J. Inequal. Pure Appl. Math, 5(1)(2004), Art.20.
L. P. Liu and Y. X. Gu, Uniqueness of meromorphic functions that share one small function with their derivatives, Kodai Math. J., 27(2004), 272-279.
L. A. Rubel and C. C. Yang, Values shared by an entire function and its derivative, in "complex Analysis, Kentucky 1976"(Proc. Conf.), Lecture Notes in Mathematics, Vol.599, pp.101-103, Springer-Verlag, Berline, 1977.
L. Z. Yang, Entire functions that share finite values with their derivatives, Bull. Austral. Math. Soc., 41(1990), 337-342.
L. Z. Yang, Solution of a differential equation and its applications, Kodai Math. J, 22(1999), 458-464.
H. X. Yi and C. C. Yang, Uniqueness theory of meromorphic functions, Science Press, Beijing, (1995).
H. X. Yi, Uniqueness theorems for meromorphic functions whose n-th derivatives share the same 1-points, Complex Variables, 34(1997), 421-436.
K. W. Yu, On entire and meromorphic functions that share small functions with their derivatives, J. Ineq. Pure and Appl. Math., 4(1)(2003), Art. 21.
J. L. Zhang and L. Z. Yang, Some results related to a conjecture of R. Bruck, J. Ineq. Pure Appl. Math, 8(1)(2007), Art. 18.
J. L. Zhang and L. Z. Yang, Some results related to a conjecture of R. Bruck concerning meromorphic functions sharing one small function with their derivatives, Annales Academiae Scientiarum Fennicae Mathematica, 32(1)(2007), 141-149.
Q. C. Zhang, The uniqueness of meromorphic functions with their derivatives, Kodai Math. J, 21(1998), 179-184.
Q. C. Zhang, Meromorphic function that share one small function with its derivative, J. Ineq. Pure Appl. Math, 6(4)(2005), Art. 116.