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Mittag‐Leffler Operator Connected with Certain Subclasses of Bazilevic̆ Functions

Author

Listed:
  • Om Ahuja
  • Asena Çetinkaya
  • Naveen Kumar Jain

Abstract

In this paper, we introduce a new generalized class of analytic functions involving the Mittag‐Leffler operator and Bazilevic̆ functions. We examine inclusion properties, radius problems, and an application of the generalized Bernardi–Libera–Livingston integral operator for this function class.

Suggested Citation

  • Om Ahuja & Asena Çetinkaya & Naveen Kumar Jain, 2022. "Mittag‐Leffler Operator Connected with Certain Subclasses of Bazilevic̆ Functions," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:2065034
    DOI: 10.1155/2022/2065034
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    References listed on IDEAS

    as
    1. H. J. Haubold & A. M. Mathai & R. K. Saxena, 2011. "Mittag‐Leffler Functions and Their Applications," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
    2. F. M. Al-Oboudi, 2004. "On univalent functions defined by a generalized Sălăgean operator," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-8, January.
    3. H. J. Haubold & A. M. Mathai & R. K. Saxena, 2011. "Mittag-Leffler Functions and Their Applications," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-51, May.
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