Convexity of Certain -Integral Operators of -Valent Functions

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

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

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

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:925902

DOI: 10.1155/2014/925902

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