Semigroups of transcendental entire functions and their dynamics |
| |
Authors: | DINESH KUMAR SANJAY KUMAR |
| |
Institution: | 1.Department of Mathematics,University of Delhi,Delhi,India;2.Department of Mathematics, Deen Dayal Upadhyaya College,University of Delhi,New Delhi,India |
| |
Abstract: | We investigate the dynamics of semigroups of transcendental entire functions using Fatou–Julia theory. Several results of the dynamics associated with iteration of a transcendental entire function have been extended to transcendental semigroups. We provide some condition for connectivity of the Julia set of the transcendental semigroups. We also study finitely generated transcendental semigroups, abelian transcendental semigroups and limit functions of transcendental semigroups on its invariant Fatou components. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|