Kodai Mathematical Journal

On the uniqueness problems of entire functions and their linear differential polynomials

Qi Han and Hong-Xun Yi

Full-text: Open access

Abstract

The uniqueness problems on transcendental meromorphic or entire functions sharing at least two values with their derivatives or linear differential polynomials have been studied and many results on this topic have been obtained. In this paper, we study a transcendental entire function f (z) that shares a non-zero polynomial a (z) with f′(z), together with its linear differential polynomials of the form: L[f] = a2(z)f″(z) + a3 (z)f′′′(z) + … + am (z)f(m) (z) (am (z) $\not\equiv$ 0), where the coefficients ak (z) (k = 2, 3, ..., m) are rational functions.

Article information

Source
Kodai Math. J., Volume 30, Number 1 (2007), 61-73.

Dates
First available in Project Euclid: 30 March 2007

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1175287622

Digital Object Identifier
doi:10.2996/kmj/1175287622

Mathematical Reviews number (MathSciNet)
MR2319077

Zentralblatt MATH identifier
1120.30027

Citation

Han, Qi; Yi, Hong-Xun. On the uniqueness problems of entire functions and their linear differential polynomials. Kodai Math. J. 30 (2007), no. 1, 61--73. doi:10.2996/kmj/1175287622. https://projecteuclid.org/euclid.kmj/1175287622


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