BI-UNIVALENT FUNCTIONS CONNECTED WITH THE MITTAG-LEFFLER-TYPE BOREL DISTRIBUTION BASED UPON THE LEGENDRE POLYNOMIALS

Authors

  • Sheza M. El-Deeb Department of Mathematics, College of Science and Arts, Al-Badaya Qassim University
  • Gangadharan Murugusundaramoorthy Department of Mathematics, School of Advanced Sciences Vellore Institute Technology University
  • Alhanouf Alburaikan Department of Mathematics, College of Science and Arts, Al-Badaya Qassim University

Abstract

In this paper, we introduce new subclasses of analytic and bi-univalent functions associated with the Mittag-Leffler-type Borel distribution by using the Legendre polynomi- als. Furthermore, we find estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3| for functions in these subclasses and obtain Fekete-Szegő problem for these subclasses. We also state certain new subclasses of Σ and initial coefficient estimates and Fekete-Szegő inequalities.

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Published

2022-05-26

Issue

Volume 27, Number 2, June 2022

Section

Articles