Malaysian Journal of Mathematical Sciences, September 2022, Vol. 16, No. 3


A New Subclass of Harmonic Univalent Functions Defined by a Linear Operator

Metkari, A. N., Sangle, N. D., and Darus, M.

Corresponding Email: anand.metkari@gmail.com

Received date: 15 June 2021
Accepted date: 22 June 2022

Abstract:
In this paper, a new subclass of complex-valued harmonic univalent functions $f(z)=h(z)+\overline{g(z)}$ in the open disk $\mathcal{U}=\left\lbrace z:z\in C\ and\ |z|<1\right\rbrace$ defined by using a linear operator. We investigate coefficient condition, extreme points, distortion and convex combination for this subclass.

Keywords: harmonic; univalent; salagean operator

  



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