科研之友
微信
新浪微博
Facebook
分享链接
摘要
A linear operator D-Pk f(z): S -> S is introduced, where S denotes the class of univalent analytic functions in open unit disk and P-k is an arbitrary monotonically increasing function in k. We study a new class J P-k (alpha(1), alpha(2), alpha(3), beta) of analytic functions related to DPk f(z). The main object of this paper is to give the radius equation between the class J P-k (alpha(1), alpha(2), alpha(3), beta) and the close-to-convex class of order alpha (0 <= a < 1). Also, we apply the extremal theorem to maximize vertical bar f((chi))(z)vertical bar over JP(k) (alpha 1, alpha 2, alpha 3, beta), where chi = {0, 1, 2,..., k}, all the results are sharp.
- 单位
