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Certain Properties of Some Families of Generalized Starlike Functions with respect to -Calculus

Author

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  • Ben Wongsaijai
  • Nattakorn Sukantamala

Abstract

By making use of the concept of -calculus, various types of generalized starlike functions of order were introduced and studied from different viewpoints. In this paper, we investigate the relation between various former types of -starlike functions of order . We also introduce and study a new subclass of -starlike functions of order . Moreover, we give some properties of those -starlike functions with negative coefficient including the radius of univalency and starlikeness. Some illustrative examples are provided to verify the theoretical results in case of negative coefficient functions class.

Suggested Citation

  • Ben Wongsaijai & Nattakorn Sukantamala, 2016. "Certain Properties of Some Families of Generalized Starlike Functions with respect to -Calculus," Abstract and Applied Analysis, Hindawi, vol. 2016, pages 1-8, September.
    • Handle: RePEc:hin:jnlaaa:6180140
    DOI: 10.1155/2016/6180140
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    Cited by:

    1. Bilal Khan & Zhi-Guo Liu & Hari M. Srivastava & Nazar Khan & Maslina Darus & Muhammad Tahir, 2020. "A Study of Some Families of Multivalent q -Starlike Functions Involving Higher-Order q -Derivatives," Mathematics, MDPI, vol. 8(9), pages 1-12, September.

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