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

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  • Oqlah Al-Refai
  • Maslina Darus

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.

Suggested Citation

  • Oqlah Al-Refai & Maslina Darus, 2009. "An Extension to the Owa-Srivastava Fractional Operator with Applications to Parabolic Starlike and Uniformly Convex Functions," International Journal of Differential Equations, Hindawi, vol. 2009, pages 1-18, February.
    • Handle: RePEc:hin:jnijde:597292
    DOI: 10.1155/2009/597292
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