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On the composition of
a prime transcendental function and a prime polynomial
Tuen-Wai Ng and Chung-Chun Yang |
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Vol. 193 (2000), No. 1, 131–141
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Abstract |
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Let f, g be transcendental entire functions and p, q be nonlinear polynomials with deg p≠3,6. Suppose that f and p are prime and f(p(z)) = g(q(z)), then f = g ∘ L and p = L−1 ∘ q, where L is a linear polynomial. Similar results for p(f(z)) = q(g(z)) are also obtained. |
Milestones
Received: 29 July 1998
Revised: 28 October 1998
Published: 1 March 2000
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Authors |
| Tuen-Wai Ng | |
| Department of Pure Mathematics and
Mathematical Statistics University of Cambridge 16 Mill Lane, Cambridge CB2 1SB England |
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| Chung-Chun Yang | |
| Department of Mathematics Hong Kong University of Science and Technology Clear Water Bay Kowloon, Hong Kong China |
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