A Unicity Theorem for Entire Functions |
| |
Authors: | Hua Xin-Hou |
| |
Institution: | Department of Mathematics, Peking University Beijing 100871, People's Republic of China |
| |
Abstract: | Let k be a non-negative integer. Suppose that f and g are nonconstantentire functions and that a and b (b a(k) are small functionsrelated to f and g such that (a,f) + (a, g) > 1. Iff(k) b and gk b assume the same zeros with the same multiplicities,then f g unless (f a(k))(g(k) a(k)) = (b a(K))2. The problem is related to C. C. Yang's question. A correspondingresult was proved for the case where a 0, b 1, k 1 and theorder of f and g is finite. |
| |
Keywords: | |
本文献已被 Oxford 等数据库收录! |
|