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UNIQUENESS OF ENTIRE FUNCTIONS SHARING A VALUE WITH LINEAR DIFFERENTIAL POLYNOMIALS

  • INDRAJIT LAHIRI (a1) and RAJIB MUKHERJEE (a2)

Abstract

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

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Copyright

Corresponding author

For correspondence; e-mail: ilahiri@hotmail.com

References

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[1]Hayman, W. K., Meromorphic Functions (Clarendon Press, Oxford, 1964).
[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.
[3]Lahiri, I. and Ghosh, G. K., ‘Entire functions sharing values with their derivatives’, Analysis (Munich) 31 (2011), 4759.
[4]Li, P., ‘Entire functions that share one value with their linear differential polynomials’, Kodai Math. J. 22 (1999), 446457.
[5]Li, P., ‘Value sharing on entire functions and their linear differential polynomials’, J. China Univ. Sci. Tech. 29(4) (1999), 387393.
[6]Wang, W. and Li, P., ‘Unicity of entire functions and their linear differential polynomials’, Complex Var. Elliptic Equ. 49(11) (2004), 821832.
[7]Zhong, H., ‘Entire functions that share one value with their derivatives’, Kodai Math. J. 18 (1995), 250259.
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UNIQUENESS OF ENTIRE FUNCTIONS SHARING A VALUE WITH LINEAR DIFFERENTIAL POLYNOMIALS

  • INDRAJIT LAHIRI (a1) and RAJIB MUKHERJEE (a2)

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