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AIMS Mathematics

2023, Volume 8, Issue 8: 18474-18490. doi: 10.3934/math.2023939
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Research article

Subclasses of spiral-like functions associated with the modified Caputo's derivative operator

  • 1.
    Department of Basic Science, College of Health and Applied Sciences, A'Sharqiyah University, Ibra Oman
  • 2.
    Center for Language and Foundation Studies, A'Sharqiyah University, Ibra Oman
  • Received: 06 March 2023 Revised: 11 May 2023 Accepted: 17 May 2023 Published: 31 May 2023

  • MSC : 30C45, 30C50

  • In this paper, the authors apply the modified Caputo's derivative operator, to introduce two new subclasses of spiral-like functions, namely the spiral-starlike functions and spiral-convex functions. In addition to this we, elaborate on the inclusion properties of these subclasses by considering the generalization of the Mittag-Leffler function and its integral transformation. Consequently, we obtain the subordination result for the functions in the class of spiral-like functions.

    Citation: Jamal Salah, Hameed Ur Rehman, Iman Al Buwaiqi, Ahmad Al Azab, Maryam Al Hashmi. Subclasses of spiral-like functions associated with the modified Caputo's derivative operator[J]. AIMS Mathematics, 2023, 8(8): 18474-18490. doi: 10.3934/math.2023939

    Related Papers:

  • In this paper, the authors apply the modified Caputo's derivative operator, to introduce two new subclasses of spiral-like functions, namely the spiral-starlike functions and spiral-convex functions. In addition to this we, elaborate on the inclusion properties of these subclasses by considering the generalization of the Mittag-Leffler function and its integral transformation. Consequently, we obtain the subordination result for the functions in the class of spiral-like functions.


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