Coefficient bounds for p-valent functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2007 English Publisher:Elsevier BVJournal:Applied Mathematics and Computation, volume 187, pages 35-46 (issn: 0096-3003,

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Authors: Rosihan M. Ali; V. Ravichandran 0001; Narayanasamy Seenivasagan;

doi: 10.1016/j.amc.2006.08.100

Coefficient bounds for p-valent functions

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Abstract

Sharp bounds for \(|a_{p+2}-\mu a^2_{p+1}|\) and \(|a_{p+3}|\) and \(|a_{p+3}|\) are derived for certain \(p\)-valent analytic functions. These are applied to obtain Fekete-Szegő like inequalities for several classes of functions defined by convolution.

Related Organizations

Universiti Sains Malaysia
Malaysia

Keywords

starlike functions, convex functions, analytic functions, Coefficient problems for univalent and multivalent functions of one complex variable, Fekete-Szegő inequalities, \(p\)-valent functions, convolution, subordination

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