SUBCLASS OF HARMONIC UNIVALENT FUNCTIONS DEFINED BY DIFFERENTIAL OPERATOR
By
D. D. Bobalade1 and N. D. Sangle2
1Department of Mathematics, Shivaji University, Kolhapur-416004, Maharashtra, India
2Department of Mathematics, D.Y. Patil College of Engineering and Technology, Kasaba Bawada, Kolhapur-416006, Maharashtra, India Email:dnyaneshwar.boblade@gmail.com, navneet_sangle@rediffmail.com
(Received: June 08, 2021; Revised: July 12, 2021; In Final form : August 16, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51215
Abstract
In this paper, using Differential operator a certain subclass of harmonic univalent functions in the unit disc U = {z ∈ C : |z| < 1} is investigated. Some properties such as coefficient bounds, convex combination, extreme points and convolution conditions of this class are obtained. The newly introduced subclass of harmonic univalent functions is more general than the subclasses earlier found in the literature.
2020 Mathematical Sciences Classification: 30C45, 30C50.
Keywords and Phrases: Harmonic functions; Univalent functions; Differential operator; Extreme points.