Coefficients estimates for certain classes of analytic functions of complex order

被引：13

作者：

Al-Hawary T. ^{[1
]}

Frasin B.A. ^{[2
]}

Yousef F. ^{[3
]}

机构：

[1] Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun

[2] Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq

[3] Department of Mathematics, University of Jordan, Amman

来源：

Afrika Matematika | 2018年 / 29卷 / 7-8期

关键词：

Analytic functions; Coefficient bounds; Convex functions of complex order; Nonhomogeneous Cauchy–Euler differential equations; Starlike functions of complex order;

D O I：

10.1007/s13370-018-0623-z

中图分类号：

学科分类号：

摘要：

In this paper, we introduce and investigate the subclasses Qgζ(m,λ,μ;γ) and Hgζ(m,λ,μ,r;u) of analytic functions of complex order defined by a new differential operator involving binomial series. Furthermore, We obtain coefficients bounds and coefficient estimates involving of the nonhomogeneous Cauchy–Euler differential equation of order r. Several corollaries of the main results are also considered. © 2018, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature.

引用

页码：1265 / 1271

页数：6

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