一类p叶函数及其广义λ-Hadamard卷积

兰州理工大学学报 ›› 2025, Vol. 51 ›› Issue (2): 166-172.

• 数理科学 • 上一篇

一类p叶函数及其广义λ-Hadamard卷积

何涛^*, 李书海, 汤获

赤峰学院数学与计算机科学学院, 内蒙古赤峰 024000

收稿日期:2023-06-05 出版日期:2025-04-28 发布日期:2025-04-29
通讯作者: 何涛(1985-),男,山东菏泽人,副教授.Email:cfhetao2008@163.com
基金资助:
国家自然科学基金(12261003),内蒙古自然科学基金(2020MS01010,2021MS01002,2022MS01004,2024MS01014)

Generalized λ-Hadamard product for a class of p-valent functions

HE Tao, LI Shu-hai, TANG Huo

School of Mathematics and Computer Science, Chifeng University, Chifeng 024000, China

Received:2023-06-05 Online:2025-04-28 Published:2025-04-29

摘要/Abstract

摘要： 引进一类p叶函数H^*_p(A,B)及其广义 λ-Hadamard卷积;利用从属关系和初等方法得到该类函数的偏差定理、积分算子、极值点和广义λ-Hadamard卷积的封闭性质, 所得结果推广了Hadamard卷积有关工作, 并得到一些新结果.

关键词: p叶函数, 偏差, 极值点, 广义Hadamard卷积, 广义λ-Hadamard卷积

Abstract: A class of p-valent function and generalized λ-Hadamard product of which are introduced. By using the subordination relationship and the initial method, distortion theorem, integral operator, extreme point and the closure properties of generalized λ-Hadamard product of the class are obtained. The results generalize the work of Hadamard product and get some new results.

Key words: p-valent functions, distortion, extreme point, generalized-Hadamard product, generalized λ-Hadamard procduct

中图分类号:

O174.51

何涛, 李书海, 汤获. 一类p叶函数及其广义λ-Hadamard卷积[J]. 兰州理工大学学报, 2025, 51(2): 166-172.

HE Tao, LI Shu-hai, TANG Huo. Generalized λ-Hadamard product for a class of p-valent functions[J]. Journal of Lanzhou University of Technology, 2025, 51(2): 166-172.

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链接本文: https://journal.lut.edu.cn/CN/

https://journal.lut.edu.cn/CN/Y2025/V51/I2/166

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一类p叶函数及其广义λ-Hadamard卷积

Generalized λ-Hadamard product for a class of p-valent functions

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