Fekete-Szegö Problem for Certain Analytic Functions of Complex Order Associated With Cardioid Domain

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DOI: https://doi.org/10.28924/2291-8639-23-2025-109
Published: May 8, 2025
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Aijaz Ahmed, Abdul Wasim Shaikh, Shujaat Ali Shah, Fekete-Szegö Problem for Certain Analytic Functions of Complex Order Associated With Cardioid Domain, Int. J. Anal. Appl., 23 (2025), 109.

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Aijaz Ahmed, Abdul Wasim Shaikh, Shujaat Ali Shah

Abstract

In this present investigation, using a linear multiplier differential operator \(\mathfrak{D}{\mathfrak{\lambda,\mu }}^{\mathfrak{M}}f\left(\psi \right)\), we introduced a novel subclass of starlike and convex functions of complex order \(\gamma\) defined on the open unit disk \(\mathfrak{E}\), associated with cardioid domain. This subclass provides a solution to the Fekete-Szegö problem, along with the consideration of numerous new special cases.

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