## Abstract and Applied Analysis

### Convexity of Certain $q$-Integral Operators of $p$-Valent Functions

#### Abstract

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 $\mathrm{\scr U}$. 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 925902, 7 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412276989

Digital Object Identifier
doi:10.1155/2014/925902

Mathematical Reviews number (MathSciNet)
MR3212456

Zentralblatt MATH identifier
07023319

#### Citation

Selvakumaran, K. A.; Purohit, S. D.; Secer, Aydin; Bayram, Mustafa. Convexity of Certain $q$ -Integral Operators of $p$ -Valent Functions. Abstr. Appl. Anal. 2014 (2014), Article ID 925902, 7 pages. doi:10.1155/2014/925902. https://projecteuclid.org/euclid.aaa/1412276989

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