On a subclass of meromorphic function defined by new differential operator involving the Mittag – Leffler function

In this work, we define a new differential operator with the multiplier transformation containing the Mittag - Leffler function. The multiplier transformation generates a new subclass of meromorphic function. Properties like coefficient estimates, growth and distortion, radii of starlikeness and con...

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Bibliographic Details
Main Authors: Sarah Ahmed, Maslina Darus
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2024
Online Access:http://journalarticle.ukm.my/25178/
http://journalarticle.ukm.my/25178/1/77-87%20Paper.pdf
Description
Summary:In this work, we define a new differential operator with the multiplier transformation containing the Mittag - Leffler function. The multiplier transformation generates a new subclass of meromorphic function. Properties like coefficient estimates, growth and distortion, radii of starlikeness and convexity, and convex linear combination are given. Finally, the extreme points are also discussed.