Univalent holomorphic functions with fixed finitely many coefficients involving Salagean operator

Acu, M.; Najafzadeh, Sh.

doi:10.22075/ijnaa.2010.61

Univalent holomorphic functions with fixed finitely many coefficients involving Salagean operator

Document Type : Research Paper

Authors

M. Acu ¹

Sh. Najafzadeh ²

¹ Department of Mathematics,Lucian Blaga University, 2400 Sibiu, Romania

² Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran

10.22075/ijnaa.2010.61

Abstract

By using generalized Salagean differential operator a new class of univalent holomorphic functions with fixed finitely many
coefficients is defined. Coefficient estimates, extreme points, arithmetic mean, and weighted mean properties are investigated.

Keywords

Salagean operator

univalent function

Coefficient estimate

Extreme point

Arithmetic and weighted mean

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