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Coefficient Bounds for Certain Classes of Analytic Functions of Complex Order γ Associated with Cardioid Domain

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Title: Coefficient Bounds for Certain Classes of Analytic Functions of Complex Order γ Associated with Cardioid Domain

Authors: Aijaz Ahmed Bhatti, Abdul Wasim Shaikh, Shujaat Ali Shah

Journal: Proceedings of the Pakistan Academy of Sciences: A

HEC Recognition History
Category From To
Y 2024-10-01 2025-12-31
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: "Physical And Computational Sciences. Pakistan Academy of Sciences."

Country: Pakistan

Year: 2025

Volume: 62

Issue: 2

Language: en

DOI: 10.53560/PPASA(62-2)860

Keywords: Subordinationanalytic functionsCoefficient boundsStarlike and Convex FunctionsCardioid DomainFekete-Szegö Problem

Categories
Geometry (91) Function Theory (9) Analysis (236) Mathematics (5170) Complex Analysis (54)

Abstract

In this paper, new Ma–Minda type subclasses of analytic functions of complex order γ, associated with cardioid domain in the open unit disk , are introduced. The objective of this work is to investigate the first three sharp coefficient bounds and to examine the sharp estimates of the Fekete-Szegö  problem for these subclasses.

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