NON-EXISTENCE OF ENTIRE SOLUTIONS OF NON-LINEAR GENERAL DIFFERENCE EQUATIONS

Renukadevi S. Dyavanal; Deepa N. Angadi

doi:10.56827/SEAJMMS.2022.1802.3

Renukadevi S. Dyavanal Department of Mathematics, Karnatak University, Dharwad - 580003, Karnataka, INDIA
Deepa N. Angadi Department of Mathematics, Karnatak University, Dharwad - 580003, Karnataka, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2022.1802.3

Keywords: Transcendental entire function, meromorphic function, small function, non-linear difference polynomial of a function, finite order, Nevanlinna theory.

Abstract

The main objective of this article is to investigate the solvability of a non-linear difference equation generated by general difference polynomial of a transcendental entire function of finite order.