| 摘要: |
| 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Bazilevič 函数的(p, q)- 模拟,获得了相应的系数估计和Fekete-Szegö 不等式.推广和改进了星型函数甚至q-星型函数相关结果. |
| 关键词: Fekete-Szegö不等式 对称Toeplitz行列式 多叶函数 Bazilevič函数 (p,q)-导算子 |
| DOI： |
| 分类号:O174.51 |
| 基金项目: |
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| THE (p,q)-ANALOG OF MULTIVALENT BAZILEVIČ FUNCTIONS ASSOCIATED WITH A LIMACON |
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HUANG An1, LONG Pin-hong1, LIU Jin-lin2, Gangadharan Murugusundaramoorthy3
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1.School of Mathematics and Statistics, Ningxia University, Ningxia 750021, China;2.Department of Mathematics, Yangzhou University, Jiangsu 225009, China;3.Department of Mathematics, Vellore Institute of Technology, Tamilnadu, Vellore 632014, India
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| Abstract: |
| This paper studies the problem of functional inequalities for analytic functions in classical geometric function theory. Using the differential subordination principle and (p, q)- derivative operator, it introduces (p, q)-analog of a class of multivalently Bazilevič functions associated with a limacon function, and obtains the corresponding coefficient estimates and the Fekete-Szegö inequality, which extend and improve the related results for starlike functions, even q-starlike functions. |
| Key words: Fekete-Szegö inequality symmetric Toeplitz determinant multivalent function Bazilevič function (p,q)-derivative operator |
