Frontiers of Mathematics in China >
Value sharing of meromorphic functions and some questions of Dyavanal
Received date: 14 Nov 2010
Accepted date: 03 Jun 2011
Published date: 01 Feb 2012
Copyright
In this paper, we shall study the uniqueness problems on meromorphic functions sharing nonzero finite value or fixed point. We have answered some questions posed by Dyavanal. Our results improve or generalize a few of known results.
Key words： Uniqueness; meromorphic function; sharing value; fixed point
Xiaobin ZHANG . Value sharing of meromorphic functions and some questions of Dyavanal[J]. Frontiers of Mathematics in China, 2012 , 7(1) : 161 -176 . DOI: 10.1007/s11464-012-0172-y
| 1 |
Alzahary T C, Yi H. Weighted value sharing and a question of I. Lahiri. Complex Variables Theory Appl, 2004, 49(15): 1063-1078
|
| 2 |
Banerjee A. Meromorphic functions sharing one value. Int J Math Math Sci, 2005, 22: 3587-3598
|
| 3 |
Bergweiler W, Eremenko A. On the singularities of the inverse to a meromorphic function of finite order. Rev Mat Iberoam, 1995, 11: 355-373
|
| 4 |
Bhoosnurmath S S, Dyavanal R S. Uniqueness and value-sharing of meromorphic functions. Comput Math Appl, 2007, 53: 1191-1205
|
| 5 |
Chen H, Fang M. On the value distribution of fnf′. Sci China Ser A, 1995, 38: 789-798
|
| 6 |
Dyavanal R S. Uniqueness and value-sharing of differential polynomials of meromorphic functions. J Math Anal Appl, 2011, 374: 335-345
|
| 7 |
Fang M. Uniqueness and value-sharing of entire functions. Comput Math Appl, 2002, 44: 823-831
|
| 8 |
Fang M, Hong W. A unicity theorem for entire functions concerning differential polynomials. Indian J Pure Appl Math, 2001, 32(9): 1343-1348
|
| 9 |
Fang M, Hua X. Entire functions that share one value. J Nanjing Univ Math Biquarterly, 1996, 13(1): 44-48
|
| 10 |
Fang M, Qiu H. Meromorphic functions that share fixed-points. J Math Anal Appl, 2002, 268: 426-439
|
| 11 |
Hayman W K. Meromorphic Functions. London: Oxford University Press, 1964
|
| 12 |
Lahiri I. Weighted sharing and uniqueness of meromorphic functions. Nagoya Math J, 2001, 161: 193-206
|
| 13 |
Lahiri I. Weighted value sharing and uniqueness of meromorphic functions. Complex Variables Theory Appl, 2001, 46: 241-253
|
| 14 |
Laine I. Nevanlinna Theory and Complex Differential Equations. Berlin, New York: Walter de Gruyter, 1993
|
| 15 |
Lin W, Yi H. Uniqueness theorems for meromorphic function concerning fixed-points. Complex Variables Theory Appl, 2004, 49(11): 793-806
|
| 16 |
Lin W, Yi H. Uniqueness theorems for meromorphic function. Indian J Pure Appl Math, 2004, 35: 121-132
|
| 17 |
Liu L. Uniqueness of meromorphic functions and differential polynomials. Comput Math Appl, 2008, 56: 3236-3245
|
| 18 |
Xu J, Lü F, Yi H. Fixed-points and uniqueness of meromorphic functions. Comput Math Appl, 2010, 59: 9-17
|
| 19 |
Xu Y. Uniqueness of meromorphic functions sharing one value. Comput Math Appl, 2008, 56: 2692-2699
|
| 20 |
Yang C. On deficiencies of differential polynomials II. Math Z, 1972, 125: 107-112
|
| 21 |
Yang C, Hua X. Uniqueness and value-sharing of meromorphic functions. Ann Acad Sci Fenn Math, 1997, 22(2): 395-406
|
| 22 |
Yang C, Yi H. Uniqueness Theory of Meromorphic Functions. Dordrecht: Kluwer Academic Publishers, 2003
|
| 23 |
Yang L. Value Distribution Theory. Berlin: Springer-Verlag, 1993
|
| 24 |
Zhang J. Uniqueness theorems for entire functions concerning fixed-points. Comput Math Appl, 2008, 56: 3079-3087
|
| 25 |
Zhang T, Lü W. Uniqueness theorems on meromorphic functions sharing one value. Comput Math Appl, 2008, 55: 2981-2992
|
| 26 |
Zhang X, Lin W. Uniqueness and value-sharing of entire functions. J Math Anal Appl, 2008, 343: 938-950
|
| 27 |
Zhang X, Xu J. Uniqueness of meromorphic functions sharing a small function and its applications. Comput Math Appl, 2011, 61: 722-730
|
| 28 |
Zhang X, Xu J, Yi H. Value sharing of meromorphic functions and Fang’s problem. arXiv: 1009.2132v1 [math.CV]
|
/
| 〈 |
|
〉 |