On Fixed Points of Meromorphic Functions f(z) and f(z + c), Δcf(z)

Abstract

Let c be a nonzero constant and f(z) be a transcendental meromorphic function of finite order. Under some conditions, we study the relationships between the exponent of convergence of fixed points of f(z), its shift f(z + c) and forward differences Δ c n f(z), n ∈ ℕ+.