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PDF(468 KB)
PDF(468 KB)
亚纯函数及其差分的唯一性
The Uniqueness of Meromorphic Functions and Their Differences
本文证明了:对具有两个Borel例外值a（∈C）和b（∈C∪{∞}）的有限级超越亚纯函数，如果f（z+η）-f（z）和f（z）CM分担a，b，其中η（∈C）满足f（z+η）?f（z），那么b=∞，a=0且f（z）=cec1z，其中c，c1为非零常数.
We prove that for a transcendental meromorphic function f of finite order which has two Borel exceptional values a(∈C) and b(∈C∪{∞}), if f(z+η)-f(z) and f(z) share values a, b CM, where η(∈C) satisfies f(z+η)?f(z), then b=∞, a=0且f(z)=cec1z, where c, c1 are two nonzero constants.
复差分 / 亚纯函数 / Borel例外值 / 分担值 {{custom_keyword}} /
complex difference / meromorphic function / Borel exceptional value / shar-ing value {{custom_keyword}} /
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国家自然科学基金资助项目（11401387）；广东省自然科学基金资助项目（2014A030313422，2016A030310106）；浙江省自然科学基金资助项目（LQ14A010007）
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