科研之友
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摘要
Let f be an entire function with the form f (z) = P(e(z))/e(z), where P is a polynomial with deg(P) >= 2 and P(0) not equal 0. We prove that the area of the complement of the fast escaping set (hence the Fatou set) of f in a horizontal strip of width 2 pi is finite. In particular, the corresponding result can be applied to the sine family alpha sin(z + beta), where alpha not equal 0 and beta is an element of C.
- 出版日期2018-10
- 单位南京大学
