Work

Sufficient conditions for starlikeness and convexity

Year: 2024

Type: article

Abstract: In this paper, the differential subordination \( \frac{b}{\phi(z)}+ c~ \phi(z) + d~ \frac{z \phi'(z)}{\phi^{k}(z)} \prec s(z), k\geq 1, z\in\mathbb{E}\) is studied by using Lowner Chain. The corresponding result for differential superordination is also obtained to get sandwich type result. Consequently, we obtain sufficient conditions for Starlikeness and Convexity of analytic function \(f\).

Source: Open Journal of Mathematical Analysis

DOI: 10.30538/psrp-oma2024.0147

Authors: Gurwinder Kaur, Sukhwinder Singh Billing, Sukhjit Singh Dhaliwal

Institutions: Sri Guru Granth Sahib World University, Sant Longowal Institute of Engineering and Technology

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4406614086

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