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Subclasses of Starlike Functions Associated with Fractional -Calculus Operators

Author

Listed:
  • G. Murugusundaramoorthy
  • C. Selvaraj
  • O. S. Babu

Abstract

Making use of fractional -calculus operators, we introduce a new subclass of starlike functions and determine the coefficient estimate, extreme points, closure theorem, and distortion bounds for functions in . Furthermore we discuss neighborhood results, subordination theorem, partial sums, and integral means inequalities for functions in .

Suggested Citation

  • G. Murugusundaramoorthy & C. Selvaraj & O. S. Babu, 2013. "Subclasses of Starlike Functions Associated with Fractional -Calculus Operators," Journal of Complex Analysis, Hindawi, vol. 2013, pages 1-8, April.
    • Handle: RePEc:hin:jnljca:572718
    DOI: 10.1155/2013/572718
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    Cited by:

    1. Ben Wongsaijai & Nattakorn Sukantamala, 2016. "Certain Properties of Some Families of Generalized Starlike Functions with respect to q‐Calculus," Abstract and Applied Analysis, John Wiley & Sons, vol. 2016(1).
    2. Ben Wongsaijai & Nattakorn Sukantamala, 2015. "Applications of Fractional q‐Calculus to Certain Subclass of Analytic p‐Valent Functions with Negative Coefficients," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).

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