A class of functions defined by using Hadamard product
type: Item
instance of: scholarly article
title: A class of functions defined by using Hadamard product
zbMATH Open document ID: 0612.30012
author: Om P. Ahuja
author: Shigeyoshi Owa
published in: Hokkaido Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: We introduce a class \({\mathbb{P}}_{\alpha}[\beta,\gamma]\) of functions defined by using Hadamard product \(f*S_{\alpha}(z)\) of f(z) and \(S_{\alpha}(z)=z/(1-z)^{2(1-\alpha)}\). The object of the present paper is to determine extreme points, coefficient inequalities, distortion theorems, and radii of starlikeness and convexity for functions in \({\mathbb{P}}_{\alpha}[\beta,\gamma]\). Further, we give distortion theorems for fractional calculus of functions belonging to the class \({\mathbb{P}}_{\alpha}[\beta,\gamma]\).
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 3989712
zbMATH Keywords: radius of convexity
zbMATH Keywords: Hadamard product
zbMATH Keywords: extreme points
zbMATH Keywords: distortion theorems
zbMATH Keywords: radii of starlikeness
zbMATH Keywords: fractional calculus
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1381518225
OpenAlex ID: W2037637772
DOI: 10.14492/HOKMJ/1381518225
Recommended article: Q4703190
Recommended article: Hadamard Product of Certain Classes of Functions
Recommended article: Q3754234
Recommended article: Q5714791
Recommended article: Q3562617
Recommended article: Q4930468
Recommended article: Q4869488
Recommended article: Q4471189
Recommended article: Q3202356
Recommended article: Classes of meromorphic functions defined by the Hadamard product
description: scientific article; zbMATH DE number 3989712