Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-27T11:09:43.113Z Has data issue: false hasContentIssue false
  • English
  • Français

UNIQUENESS OF MEROMORPHIC FUNCTIONS SHARING ONE VALUE

Part of: Entire and meromorphic functions, and related topics

Published online by Cambridge University Press:  04 January 2012

CHUN WU ,
CHUNLAI MU  and
JIANGTAO LI
CHUN WU*
Affiliation:
College of Mathematics and Statistics, Chongqing University, Chongqing 401331, PR China College of Mathematics Science, Chongqing Normal University, Chongqing 401331, PR China (email: [email protected])
CHUNLAI MU
Affiliation:
College of Mathematics and Statistics, Chongqing University, Chongqing 401331, PR China
JIANGTAO LI
Affiliation:
College of Mathematics and Statistics, Chongqing University, Chongqing 401331, PR China
*
✉For correspondence; e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper, we study the uniqueness of meromorphic functions concerning differential polynomials sharing nonzero finite values, and obtain some results which improve the results of Yang and Hua, Xu and Qiu, Fang and Hong, and Dyavanal, among others.

Keywords

uniquenessmeromorphic functionsdifferential polynomials

MSC classification

Secondary: 30D35: Distribution of values, Nevanlinna theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 85 , Issue 2 , April 2012 , pp. 280 - 294
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

Footnotes

This work is supported in part by NSF of China (11071266) and in part by NSF project CQ CSTC (2010BB9218).

References

[1]Dyavanal, R. S., ‘Uniqueness and value-sharing of differential polynomials of meromorphic functions’, J. Math. Anal. Appl. 374 (2011), 335–345.CrossRefGoogle Scholar
[2]Fang, M. L. and Hong, W., ‘A unicity theorem for entire functions concerning differential polynomials’, Indian J. Pure Appl. Math. 32(9) (2001), 1343–1348.Google Scholar
[3]Frank, G., ‘Eine Vermutung von Hayman über Nullstellen meromorpher Funktionen’, Math. Z. 149 (1976), 29–36.CrossRefGoogle Scholar
[4]Hayman, W. K., Meromorphic Functions (Clarendon Press, Oxford, 1964).Google Scholar
[5]Lahiri, I. and Sarkar, A., ‘Uniqueness of a meromorphic function and its derivative’, J. Inequal. Pure Appl. Math. 5(1) (2004), Article 20.Google Scholar
[6]Lin, W. C. and Yi, H. X., ‘Uniqueness theorems for meromorphic function’, Indian J. Pure Appl. Math. 32(9) (2004), 121–132.Google Scholar
[7]Xu, Y. and Qu, H. L., ‘Entire functions sharing one value IM’, Indian J. Pure Appl. Math. 31 (2000), 849–855.Google Scholar
[8]Yang, C. C., ‘On deficiencies of differential polynomials II’, Math. Z. 125 (1972), 107–112.CrossRefGoogle Scholar
[9]Yang, L., Value Distribution Theory (Springer/Science Press, Berlin/Beijing, 1993).Google Scholar
[10]Yang, C. C. and Hua, X., ‘Uniqueness and value sharing of meromorphic functions’, Ann. Acad. Sci. Fenn. Math. 22 (1997), 395–406.Google Scholar
[11]Yang, C. C. and Yi, H. X., Uniqueness Theory of Meromorphic Functions, Mathematics and its Applications, 557 (Kluwer Academic Publishers, Dordrecht, 2003).CrossRefGoogle Scholar
[12]Yi, H. X. and Yang, C. C., Uniqueness Theory of Meromorphic Functions (Science Press, Beijing, 1995).Google Scholar