Differential subordination defined by new generalised derivative operator for analytic functions
type: Item
instance of: scholarly article
title: Differential subordination defined by new generalised derivative operator for analytic functions
zbMATH Open document ID: 1187.30007
DOI: 10.1155/2010/369078
author: Ma'moun Harayzeh Al-Abbadi
author: Maslina Darus
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2010-04-20T00:00:00Z
full work available at URL: https://eudml.org/doc/232555
review text: Summary: A new generalised derivative operator \(\mu^{n,m}_{\lambda_1\lambda 2}\) is introduced. This operator generalises many well-known operators studied earlier by many authors. Using the technique of differential subordination, we study some of the properties of differential subordination. In addition we investigate several interesting properties of the new generalised derivative operator.
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 5695247
zbMATH Keywords: differential subordination
zbMATH Keywords: starlike function
zbMATH Keywords: convex function
MaRDI profile type: Publication
OpenAlex ID: W2014133003
Wikidata QID: Q58651753
cites work: Q3748529
cites work: Q4936092
cites work: On some classes of first-order differential subordinations
cites work: Q3432638
cites work: Q5475994
cites work: New Criteria for Univalent Functions
cites work: Q3312456
cites work: Q3638007
cites work: On univalent functions defined by a generalized Sălăgean operator
cites work: Q3560899
cites work: Starlike and Prestarlike Hypergeometric Functions
cites work: Differential subordination and starlike functions
DBLP publication ID: journals/ijmmsc/Al-AbbadiD10a
description: scientific article; zbMATH DE number 5695247