Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts

Abstract

In this paper, we investigate the relationships between fixed points of meromorphic functions, and their higher order differences and shifts, and generalize the case of fixed points into the more general case for first order difference and shift. Concretely, some estimates on the order and the exponents of convergence of special points of meromorphic functions and their differences and shifts are obtained.

Keywords

• meromorphic function
• higher order difference
• shift
• fixed point
• 30d35
• 39b32
• 39a10