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On a characterization of starlike functions with respect to $(2 ȷ, ℓ)$ -symmetric conjugate points

K. R. Karthikeyan

Department of Applied Mathematics and Science, National University of Science and Technology, Muscat, Oman

E-mail Address: karthikeyan@nu.edu.om

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and

A. Senguttuvan

https://orcid.org/0000-0002-0744-1963

Department of Applied Mathematics and Science, National University of Science and Technology, Muscat, Oman

E-mail Address: senguttuvan@nu.edu.om

Corresponding author.

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https://doi.org/10.1142/S1793557123501802Cited by:0 (Source: Crossref)

Abstract

In this paper, we introduce and study a new subclass of starlike functions with respect to $(2 ȷ, ℓ)$ -symmetric conjugate points using the principle of subordination. Several relationship with the well-known classes have been established. We have focussed on conic regions when it pertained to applications of our main results. Inclusion results, subordination property and coefficient inequality of the defined class are the main results of this paper. The applications of the results are presented here as corollaries, most of which are extensions of well-known results.

Communicated by Ping Li

Keywords:

AMSC: 30C45

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