Zeros of differences of meromorphic functions

Abstract

Let f be a function transcendental and meromorphic in the plane, and define g(z) by g(z) = f(z+1) - f(z). A number of results are proved concerning the existence of zeros of g(z) or g(z)/f(z), in terms of the growth and the poles of f.

Cited by in corpus (1)

• On the growth of logarithmic difference of meromorphic functions and a Wiman-Valiron estimate