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.
K. A. Selvakumaran. S. D. Purohit. Aydin Secer. Mustafa Bayram. "Convexity of Certain -Integral Operators of -Valent Functions." Abstr. Appl. Anal. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/925902