[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2010.50.1.071

Unicity of Meromorphic Function and its Derivative

Chen, Ang (Department of Mathematics, Shandong University)
Zhang, Guowei (Department of Mathematics, Shandong University)

Publication Information

Kyungpook Mathematical Journal / v.50, no.1, 2010 , pp. 71-80 More about this Journal

Abstract

In this paper, we deal with the uniqueness problems of meromorphic functions that share a small function with its derivative and improve some results of Yang, Yu, Lahiri, and Zhang, also answer some questions of T. D. Zhang and W. R. L $\"{u}$ .

Keywords

Meromorphic functions; small functions; value sharing; uniqueness;

Citations & Related Records

Times Cited By SCOPUS : 0

Reference

1	W. K. Hayman, Meromorphic Functions, Clarendon Press, Oxford, 1964.
2	L. Yang, Value Distribution Theory, Springer-Verlag, Berlin, 1993.
3	C. C. Yang and H.X. Yi, Uniqueness Theory of Meromorphic Functions, Science Press, Beijing; Kluwer Academic Publishers, New York, 2003.
4	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), 88C95. DOI ScienceOn
5	I. Lahiri and A. Sarkar, Uniqueness of a meromorphic function and its derivative, J. Inequal. Pure Appl. Math., 5(1) (2004), p. 9, Art. 20.
6	R. Bruck,On entire functions which share one value with their first derivatives, Result in Math., 30 (1996), pp. 21-24. DOI
7	L. Z. Yang, Solution of a differential equation and its applications, Kodai Math. J., 22 (1999), pp. 458-464. DOI
8	Q. C. Zhang, The uniqueness of meromorphic functions with their derivatives, Kodai Math. J., 21 (1998), pp. 179-184. DOI
9	K. W. Yu, On entire and meromorphic functions that share small functions with their derivatives, J. Inequal. Pure Appl. Math.,4(1) (2003), p. 7, Art. 21.
10	T. D. Zhang and W. R. Lu, Notes on a meromorphic function sharing one small function with its derivative,Complex Variables and Elliptic Equations Vol. 53, No. 9, (2008), 857-867 DOI ScienceOn
11	C. C. Yang, On deficiencies of differential polynomials II, Math. Z., 125 (1972), pp. 107-112. DOI