Vol. 193, No. 1, 2000

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Tuen-Wai Ng & Chung-Chun Yang

Abstract

Let f, g be transcendental entire functions and p, q be nonlinear polynomials with deg p3,6. Suppose that f and p are prime and f(p(z)) = g(q(z)), then f = g L and p = L1 q, where L is a linear polynomial. Similar results for p(f(z)) = q(g(z)) are also obtained.

Authors
Tuen-Wai Ng
Department of Pure Mathematics and Mathematical Statistics
University of Cambridge
16 Mill Lane, Cambridge CB2 1SB
England
Chung-Chun Yang
Department of Mathematics
Hong Kong University of Science and Technology
Clear Water Bay
Kowloon, Hong Kong
China