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Majorization for a Class of Analytic Functions Defined by -Differentiation

Author

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  • K. A. Selvakumaran
  • Sunil Dutt Purohit
  • Aydin Secer

Abstract

We introduce a new class of multivalent analytic functions defined by using -differentiation and fractional -calculus operators. Further, we investigate majorization properties for functions belonging to this class. Also, we point out some new and known consequences of our main result.

Suggested Citation

  • K. A. Selvakumaran & Sunil Dutt Purohit & Aydin Secer, 2014. "Majorization for a Class of Analytic Functions Defined by -Differentiation," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-5, July.
  • Handle: RePEc:hin:jnlmpe:653917
    DOI: 10.1155/2014/653917
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    Cited by:

    1. Saeed Islam & Muhammad Ghaffar Khan & Bakhtiar Ahmad & Muhammad Arif & Ronnason Chinram, 2020. "Q -Extension of Starlike Functions Subordinated with a Trigonometric Sine Function," Mathematics, MDPI, vol. 8(10), pages 1-14, October.

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