ON THE TRANSCENDENTAL ENTIRE SOLUTIONS OF A CLASS OF DIFFERENTIAL EQUATIONS

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 51, Issue 5, 2014, pp.1281-1289
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2014.51.5.1281

Title & Authors

ON THE TRANSCENDENTAL ENTIRE SOLUTIONS OF A CLASS OF DIFFERENTIAL EQUATIONS

Lu, Weiran; Li, Qiuying; Yang, Chungchun;

Lu, Weiran; Li, Qiuying; Yang, Chungchun;

Abstract

In this paper, we consider the differential equation , where and are polynomials with , R is a rational function and is an entire function. We consider solutions of the form , where f is an entire function and is an integer, and we prove that if f is a transcendental entire function, then is a polynomial and . This theorem improves some known results and answers an open question raised in [16].

Keywords

transcendental entire solutions;differential equation;Nevanlinna theory;

Language

English

Cited by

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