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Properties of Spiral-Like Close-to-Convex Functions Associated with Conic Domains

Author

Listed:
  • Hari M. Srivastava

    (Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

  • Nazar Khan

    (Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan)

  • Maslina Darus

    (School of Mathematical Sciences, Faculty of Sciences and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia)

  • Muhammad Tariq Rahim

    (Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan)

  • Qazi Zahoor Ahmad

    (Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan)

  • Yousra Zeb

    (Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan)

Abstract

In this paper, our aim is to define certain new classes of multivalently spiral-like, starlike, convex and the varied Mocanu-type functions, which are associated with conic domains. We investigate such interesting properties of each of these function classes, such as (for example) sufficiency criteria, inclusion results and integral-preserving properties.

Suggested Citation

  • Hari M. Srivastava & Nazar Khan & Maslina Darus & Muhammad Tariq Rahim & Qazi Zahoor Ahmad & Yousra Zeb, 2019. "Properties of Spiral-Like Close-to-Convex Functions Associated with Conic Domains," Mathematics, MDPI, vol. 7(8), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:706-:d:255220
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    References listed on IDEAS

    as
    1. Saeid Shams & S. R. Kulkarni & Jay M. Jahangiri, 2004. "Classes of uniformly starlike and convex functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-3, January.
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