CERTAIN SUBCLASS OF MULTIVALENT FUNCTIONS ASSOCIATED WITH FRACTIONAL DERIVATIVE OPERATOR

Jae Ho Choi

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CERTAIN SUBCLASS OF MULTIVALENT FUNCTIONS ASSOCIATED WITH FRACTIONAL DERIVATIVE OPERATOR

机译：与分数导数操作员相关的多价函数的某些子类

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摘要

In this paper, we introduce a new subclass (H_(λ,μ,ν)(n, p,δ,α) of multivalent analytic functions which is defined by using a certain fractional derivative operator. Coefficient inequalities, distortion theorem and closure theorems for functions belonging to the class (H_(λ,μ,ν)(n, p,δ,α) are determined. Furthermore, the radii of starlikeness and convexity for the class (H_(λ,μ,ν)(n, p,δ,α) are also considered.

机译：在本文中，我们介绍了一个新的子类（H_（λ，μ，ν）（n，p，δ，α）多价分析函数，该函数通过使用某个分数衍生式操作员来定义，系数不平等，失真定理和闭合定理对于属于类的函数（H_（λ，μ，ν）（n，p，δ，α）。还考虑了P，δ，α）。

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来源
《Far east journal of mathematical sciences》 |2021年第1期|1-16|共16页
作者
Jae Ho Choi;
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作者单位

Department of Mathematics Education Daegu National University of Education 219 Jungangdaero, Namgu Daegu 705-715 Korea;

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原文格式 PDF
正文语种英语
中图分类
关键词
Convex function; Analytic functions; derivative operatorTheoremConvexity;

机译：凸函数;分析函数;导数操作符理论理解性;

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1. On New Subclass of Multivalent Functions Involving a Generalized Al-Oboudi Differential Operator [J] . Bitrus Sambo, Oladejo Semiu Oladipupo, Ayuba Sanda 数学和系统科学：英文版 . 2019,第002期
2. SUBORDINATION PROPERTIES OF MULTIVALENT FUNCTIONS INVOLVING AN EXTENDED FRACTIONAL DIFFERINTEGRAL OPERATOR [J] . Mohamed K. AOUF, Teodor BULBOACÂ, Rabha M. EL-ASHWASH 数学物理学报（英文版） . 2014,第002期
3. SANDWICH-TYPE THEOREMS FOR MEROMORPHIC MULTIVALENT FUNCTIONS ASSOCIATED WITH THE LIU-SRIVASTAVA OPERATOR [J] . Nak Eun Cho 数学物理学报（英文版） . 2012,第003期
4. 整函数与其差分或平移分担一个小函数 Entire Functions Sharing a Small Function with Its Difference Operators or Shifts [J] . Pure Mathematics . 2011,第1期

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5. Caputo Fractional Derivative Hadamard Inequalities for Strongly -Convex Functions [J] . Xue Feng, Baolin Feng, Ghulam Farid, Journal of Function Spaces and Applications . 2021,第a期

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CERTAIN SUBCLASS OF MULTIVALENT FUNCTIONS ASSOCIATED WITH FRACTIONAL DERIVATIVE OPERATOR

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