Convexity of Certainq-Integral Operators ofp-Valent Functions-Reference-Cited by-同舟云学术

Convexity of Certainq-Integral Operators ofp-Valent Functions

Published:2014 Issue: Volume:2014 Page:1-7
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Selvakumaran K. A.¹,Purohit S. D.²,Secer Aydin³^ORCID,Bayram Mustafa³^ORCID

Affiliation:

1. Department of Mathematics, RMK College of Engineering and Technology, Puduvoyal, Tamil Nadu 601206, India

2. Department of Basic Sciences (Mathematics), College of Technology and Engineering, M. P. University of Agriculture and Technology, Udaipur, Rajasthan 313001, India

3. Department of Mathematical Engineering, Yildiz Technical University, Davutpasa, 34210 Istanbul, Turkey

Abstract

By applying the concept (and theory) of fractionalq-calculus, we first define and introduce two newq-integral operators for certain analytic functions defined in the unit disc𝒰. Convexity properties of theseq-integral operators on some classes of analytic functions defined by a linear multiplier fractionalq-differintegral operator are studied. Special cases of the main results are also mentioned.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/925902.pdf

Reference23 articles.

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4. Certain subclasses of analytic functions associated with fractional $q$-calculus operators

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