摘要
This paper studies the problem of functional inequalities for analytic functions in classical geometric function theory.Using the di erential subordination principle and(p,q)-derivative operator,it introduces(p,q)-analog of a class of multivalently Bazilevic functions as-sociated with a limacon function,and obtains the corresponding coefficient estimates and the Fekete-Szego inequality,which extend and improve the related results for starlike functions,even q-starlike functions.
本文研究了经典几何函数论中解析函数泛函不等式问题.利用微分从属原理和(p,q)-导数算子,引入了与limacon函数相关某类多叶Bazilevic函数的(p,q)-模拟,获得了相应的系数估计和Fekete-Szego不等式.推广和改进了星型函数甚至q-星型函数相关结果.
出处
《数学杂志》
2024年第6期471-484,共14页
Journal of Mathematics
基金
Supported by Natural Science Foundation of Ningxia(2023AAC 03001)
Natural Science Foundation of China(12261068)
