Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-26T06:10:16.820Z Has data issue: false hasContentIssue false

UNIQUENESS OF ENTIRE FUNCTIONS SHARING A VALUE WITH LINEAR DIFFERENTIAL POLYNOMIALS

Published online by Cambridge University Press:  30 November 2011

INDRAJIT LAHIRI*
Affiliation:
Department of Mathematics, University of Kalyani, West Bengal 741235, India (email: ilahiri@hotmail.com)
RAJIB MUKHERJEE
Affiliation:
Department of Mathematics, Krishnanath College, Baharampur, West Bengal 742101, India (email: rajib_raju786@yahoo.com)
*
For correspondence; e-mail: ilahiri@hotmail.com
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.

We study the uniqueness of entire functions sharing a nonzero finite value with linear differential polynomials and improve a result of P. Li.

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

References

[1]Hayman, W. K., Meromorphic Functions (Clarendon Press, Oxford, 1964).Google Scholar
[2]Jank, G., Mues, E. and Volkmann, L., ‘Meromorphe Funktionen, die mit ihrer ersten und zweiten Ableitung einen endlichen Wert teilen’, Complex Var. Theory Appl. 6 (1986), 5171.Google Scholar
[3]Lahiri, I. and Ghosh, G. K., ‘Entire functions sharing values with their derivatives’, Analysis (Munich) 31 (2011), 4759.Google Scholar
[4]Li, P., ‘Entire functions that share one value with their linear differential polynomials’, Kodai Math. J. 22 (1999), 446457.CrossRefGoogle Scholar
[5]Li, P., ‘Value sharing on entire functions and their linear differential polynomials’, J. China Univ. Sci. Tech. 29(4) (1999), 387393.Google Scholar
[6]Wang, W. and Li, P., ‘Unicity of entire functions and their linear differential polynomials’, Complex Var. Elliptic Equ. 49(11) (2004), 821832.Google Scholar
[7]Zhong, H., ‘Entire functions that share one value with their derivatives’, Kodai Math. J. 18 (1995), 250259.CrossRefGoogle Scholar