Author:
,LI, YEZHOU,LIU ZHIXUE, ,SUN HEQING,
Abstract
Let us consider f as being an entire solution of the differential-difference equation
G(z, f)+h(z)fm(z) = 0, (m ∈ N), where h(z) is a transcendental entire function
and G(z, f) is a differential-difference polynomial in f with entire coefficients.
By considering the order and deficiency of h(z) and such coefficients, we mainly
study the radial distribution of f, and establish a lower bound of measure for the
set of common limiting directions of the Julia sets of derivatives and primitives
of its shifts.