LIMITING DIRECTIONS FOR ENTIRE SOLUTIONS OF A CERTAIN CLASS OF DIFFERENTIAL-DIFFERENCE EQUATIONS.

Let us consider f as being an entire solution of the differential-difference equation G(z, f) + h(z)f ^m(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. [ABSTRACT FROM AUTHOR]