An Extension to the Owa-Srivastava Fractional Operator with Applications to Parabolic Starlike and Uniformly Convex Functions

Oqlah Al-Refai and Maslina Darus

International Journal of Differential Equations, 2009, vol. 2009, 1-18

Abstract:

Let be the class of analytic functions in the open unit disk 𠕌. 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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:597292

DOI: 10.1155/2009/597292

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