Convexity of certain \(q\)-integral operators of \(p\)-valent functions
type: Item
instance of: scholarly article
title: Convexity of certain \(q\)-integral operators of \(p\)-valent functions
zbMATH Open document ID: 1474.30116
DOI: 10.1155/2014/925902
author: K. A. Selvakumaran
author: S. D. Purohit
author: Aydin Secer
author: Mustafa Bayram
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: By applying the concept (and theory) of fractional \(q\)-calculus, we first define and introduce two new \(q\)-integral operators for certain analytic functions defined in the unit disc \(\mathcal{U}\). Convexity properties of these \(q\)-integral operators on some classes of analytic functions defined by a linear multiplier fractional \(q\)-differintegral operator are studied. Special cases of the main results are also mentioned.
Mathematics Subject Classification ID: 30C45
zbMATH DE Number: 7023319
Wikidata QID: Q57663799
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/925902
OpenAlex ID: W2034267042
cites work: A Comprehensive Treatment of q-Calculus
cites work: Q4040884
cites work: Quantum calculus
cites work: \(q\)-fractional calculus and equations
cites work: Certain subclasses of analytic functions associated with fractional $q$-calculus operators
cites work: Q2937058
cites work: A new class of multivalently analytic functions associated with fractional q-calculus operators
cites work: On uniformly starlike functions
cites work: Uniformly convex functions
cites work: Uniformly Convex Functions and a Corresponding Class of Starlike Functions
cites work: INCLUSION RELATIONS FOR k-UNIFORMLY STARLIKE AND RELATED FUNCTIONS UNDER CERTAIN INTEGRAL OPERATORS
cites work: On univalent functions defined by a generalized Sălăgean operator
cites work: Convexity of integral operators of \(p\)-valent functions
cites work: Q3589337
cites work: Q4439109
cites work: Q4441365
cites work: Q3568758
cites work: Univalence of the Integral of f ′(z)λ
cites work: Q3603392
cites work: Q5433828
description: scientific article; zbMATH DE number 7023319