n this paper, a new certain class of p-valent analytic functions with quasi-subordination is defined and the Fekete-Szeg5 problems for functions belonging to the classare derived. The results presented here provide ex...n this paper, a new certain class of p-valent analytic functions with quasi-subordination is defined and the Fekete-Szeg5 problems for functions belonging to the classare derived. The results presented here provide extensions of those given in some earlierworks.展开更多
In this paper, we investigated the coefficient estimates and the Fekete-Szegö?problem for the subclass of analytic univalent functions involving the linear transformation Dsα,β,γf for the normalized analyt...In this paper, we investigated the coefficient estimates and the Fekete-Szegö?problem for the subclass of analytic univalent functions involving the linear transformation Dsα,β,γf for the normalized analytic function f (z) = z + a2z2 + a3z3 + … .展开更多
Given α∈[0, 1], let hα（z） ：= z/（1 - αz）, z ∈ D ：= {z ∈ C： ｜z｜ 〈 1}. An analytic standardly normalized function f in D is called close-to-convex with respect to hα if there exists δ ∈ （-π/2, π/2）...Given α∈[0, 1], let hα（z） ：= z/（1 - αz）, z ∈ D ：= {z ∈ C： ｜z｜ 〈 1}. An analytic standardly normalized function f in D is called close-to-convex with respect to hα if there exists δ ∈ （-π/2, π/2） such that Re{e^iδ zf′（z）/hα（z）} 〉 0, z ∈ D. For the class l（hα） of all close-to-convex functions with respect to hα, the Fekete-Szego problem is studied.展开更多
基金Natural Science Foundation of Anhui provincial Department of Education(KJ2015A372,KJ2018A0833)Dr start project in Guangdong province(2016A030310106)the key cultivated project at school level of the National Science Fund of Guangzhou Civil Aviation College(18X0433)
基金Supported by the National Natural Science Foundation of China(Grant No.11561001)the Natural Science Foundation of Inner Mongolia of China(Grant No.2014MS0101)the Higher School Foundation of Inner Mongolia of China(Grant No.2015NJZY240,Grant No.2016NJZY251)
文摘n this paper, a new certain class of p-valent analytic functions with quasi-subordination is defined and the Fekete-Szeg5 problems for functions belonging to the classare derived. The results presented here provide extensions of those given in some earlierworks.
基金Supported by Institution of Higher Education Scientific Research Project in Ningxia (NGY2017011)National Natural Science Foundations of China (1156105511762017)
文摘In this paper, we investigated the coefficient estimates and the Fekete-Szegö?problem for the subclass of analytic univalent functions involving the linear transformation Dsα,β,γf for the normalized analytic function f (z) = z + a2z2 + a3z3 + … .
文摘Given α∈[0, 1], let hα（z） ：= z/（1 - αz）, z ∈ D ：= {z ∈ C： ｜z｜ 〈 1}. An analytic standardly normalized function f in D is called close-to-convex with respect to hα if there exists δ ∈ （-π/2, π/2） such that Re{e^iδ zf′（z）/hα（z）} 〉 0, z ∈ D. For the class l（hα） of all close-to-convex functions with respect to hα, the Fekete-Szego problem is studied.
