Open Access
2014 Convexity of Certain q-Integral Operators of p-Valent Functions
K. A. Selvakumaran, S. D. Purohit, Aydin Secer, Mustafa Bayram
Abstr. Appl. Anal. 2014: 1-7 (2014). DOI: 10.1155/2014/925902


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 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.


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K. A. Selvakumaran. S. D. Purohit. Aydin Secer. Mustafa Bayram. "Convexity of Certain q-Integral Operators of p-Valent Functions." Abstr. Appl. Anal. 2014 1 - 7, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07023319
MathSciNet: MR3212456
Digital Object Identifier: 10.1155/2014/925902

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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