Convexity of Certain q‐Integral Operators of p‐Valent Functions

K. A. Selvakumaran, S. D. Purohit, Aydin Secer and Mustafa Bayram

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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 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.

Date: 2014
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https://doi.org/10.1155/2014/925902

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:925902

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