Abstract
𝒜 Let be the class of analytic functions in the open unit disk . We define by where is the fractional derivative of of order . If , then a function in is said to be in the class if is a parabolic starlike function. In this paper, several properties and characteristics of the class are investigated. These include subordination, characterization and inclusions, growth theorems, distortion theorems, and class-preserving operators. Furthermore, sandwich theorem related to the fractional derivative is proved.
Citation
Oqlah Al-Refai. Maslina Darus. "An Extension to the Owa-Srivastava Fractional Operator with Applications to Parabolic Starlike and Uniformly Convex Functions." Int. J. Differ. Equ. 2009 1 - 18, 2009. https://doi.org/10.1155/2009/597292
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