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| ON THE DIFFERENCE COUNTERPART OF BRUCK＇S CONJECTURE | |
| 作者姓名： | 陈宗煊 |
| 基金项目： | This research was supported by the National Natural Science Foundation of China （11171119）. |
| 摘 要： | In this article, for a transcendental entire function f（z） of finite order which has a finite Borel exceptional value a, we utilize properties of complex difference equations to prove the difference counterpart of Bruck＇s conjecture, that is, if △f（z） = f（z ＋ η） - f（z） and f（z） share one value a （≠α） CM, where η ∈ C is a constant such that f（z ＋η） ≠ f（z）,then △f（z）-a/f（z）-a=a/a-α. |
| 关 键 词： | 猜想 差异性 Borel例外值 超越整函数 差分方程 |
| 本文献已被 维普 等数据库收录！ | |