Second Order Differential Subordination with the Mittag-Leffler Operator

Authors

  • Ebrahim Amini Department of Mathematics, Payme Noor University, P. O. Box 19395-4697, Tehran, Iran., Jordan
  • Shrideh Al-Omari Department of Mathematics, Faculty of Science, Al-Balqa Applied University, 11134 Amman, Jordan
  • Mona Khandaqji Department of Basic Science, Faculty of Arts and Science, Applied Science Private University, 11134 Amman, Jordan

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5907

Keywords:

Mittag-Leffler function; convolution; superordinations; univalent functions; differential operators

Abstract

In this study, we employ the generalized Mittag-Leffler function and the Komatu integral operator to present a new linear operator in terms of the convolution and define related classes of admissible functions. Then, we derive several properties and characteristics of two-order differential subordinations and superordinations. Moreover, we establish sandwich-type results for a class of analytic functions on an open unit disc. Over and above, we derive various results involving univalent functions in some details.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Functional Analysis

License

Copyright (c) 2025 Ebrahim Amini, Shrideh Al-Omari, Mona Khandaqji

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How to Cite

Second Order Differential Subordination with the Mittag-Leffler Operator. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5907. https://doi.org/10.29020/nybg.ejpam.v18i2.5907