Majorization for a class of analytic functions defined by \(q\)-differentiation
type: Item
instance of: scholarly article
title: Majorization for a class of analytic functions defined by \(q\)-differentiation
zbMATH Open document ID: 1407.30004
DOI: 10.1155/2014/653917
author: K. A. Selvakumaran
author: S. D. Purohit
author: Aydin Secer
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: We introduce a new class of multivalent analytic functions defined by using \(q\)-differentiation and fractional \(q\)-calculus operators. Further, we investigate majorization properties for functions belonging to this class. Also, we point out some new and known consequences of our main result.
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 33D15
zbMATH DE Number: 7016959
Wikidata QID: Q57663800
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/653917
OpenAlex ID: W2034130919
cites work: Majorization by univalent functions
cites work: Q4040884
cites work: A subclass of harmonic univalent functions associated with \(q\)-analogue of Dziok-Srivastava operator
cites work: Some subordination results on \(q\)-analogue of Ruscheweyh differential operator
cites work: Subclasses of starlike functions associated with fractional \(q\)-calculus operators
cites work: Meromorphic parabolic starlike functions associated with \(q\)-hypergeometric series
cites work: A new class of multivalently analytic functions associated with fractional q-calculus operators
cites work: Certain subclasses of analytic functions associated with fractional $q$-calculus operators
cites work: Q2937058
cites work: Some classes of analytic and multivalent functions associated with \(q\)-derivative operators
cites work: Convexity of certain \(q\)-integral operators of \(p\)-valent functions
cites work: Q3728309
cites work: Q5618547
cites work: Univalent α-Spiral Functions
cites work: Q5815016
cites work: Q4220703
cites work: Majorization by starlike functions of complex order
description: scientific article; zbMATH DE number 7016959