Fractional calculus and some properties of certain starlike functions with negative coefficients.
type: Item
instance of: scholarly article
title: Fractional calculus and some properties of certain starlike functions with negative coefficients.
zbMATH Open document ID: 1033.30012
DOI: 10.1016/S0096-3003(02)00037-1
author: Halit Orhan
author: Muhammet Kamali
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
review text: Let \(T(n,p)\) denote the class of functions of the form \[ f(z)= z^p- \sum^\infty_{k=n} a_{k+p} z^{k+p} \] (\(a_{k+p}\geq 0\); \(p\in \{1,2,\dots\}\), \(n\in\mathbb{N}\)) analytic in the open unit disk \(U\). The authors introduce the class \(T_\gamma(n,p,\lambda,\alpha)\), a general subclass of \(T(n,p)\). Coefficient bounds and results concerning the Hadamard product for this functions are given. Several distortion theorems involving operators of fractional calculus defined e.g. in \textit{S. Owa} [Kyungpook Math. J. 18, 53--59 (1978; Zbl 0401.30009)] are proved.
reviewed by: O. Fekete
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 30E20
zbMATH DE Number: 1861387
zbMATH Keywords: starlike functions
zbMATH Keywords: fractional derivative
zbMATH Keywords: fractional integral
MaRDI profile type: Publication
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full work available at URL: s0096-3003(02)00037-1
OpenAlex ID: W2002195678
description: scientific article; zbMATH DE number 1861387