Fekete–Szegő Inequalities for Certain Subclasses of Starlike and Convex Functions of Complex Order Associated with Quasi-subordination

Document Type : Original Article

Authors

Nanjundan Magesh ¹

V. K. Balaji ²

C. Abirami ³

¹ Post-Graduate and Research Department of Mathematics, Government Arts College for Men, Krishnagiri 635001, Tamilnadu, India.

² Department of Mathematics, L.N. Govt. College Ponneri, Chennai, Tamilnadu, India.

³ Faculty of Engineering and Technology, SRM University, Kattankulathur- 603203, Tamilnadu, India.

10.22034/kjm.2016.34114

Abstract

 In this paper, we find Fekete-Szeg¨o bounds for a generalized class

$\mathcal{M}^{\delta, \lambda}_{q}(\gamma, \varphi).$ Also, we discuss some remarkable results.

Keywords

univalent functions

starlike of Ma-Minda type and convex of Ma-Minda type

majorization and quasi-subordination

Subjects

• 30 Functions of a complex variable

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