The growth of meromorphic solutions for q-difference Painleve IV equation

We consider meromorphic solutions of q-difference Painleve IV equation (f(qz) + f(z)) (f(z) + f(z/q)) = P(z, f(z))/Q(z, f (z)), where P(z, f (z)) and Q(z, f (z)) are polynomials in f having polynomial coefficients and no common roots, and q is an element of C \ {0}. We investigate the growth of transcendental meromorphic solutions of q-difference Painleve IV equation and find lower bounds for their characteristic functions for transcendental meromorphic solutions of such equation for the case m = deg(f) (P) - deg(f) (Q) >= 3. (C) 2020 Elsevier Inc. All rights reserved.