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

Ahmed, Aijaz; Shaikh, Abdul Wasim; Shah, Shujaat Ali

doi:10.28924/2291-8639-23-2025-109

Research Article

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

Aijaz Ahmed
Abdul Wasim Shaikh
Shujaat Ali Shah*

* Corresponding author

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.

How to Cite

A. Ahmed, A. W. Shaikh, S. A. Shah, Fekete-Szegö Problem for Certain Analytic Functions of Complex Order Associated With Cardioid Domain, Int. J. Anal. Appl. 23 (2025), 109. https://doi.org/10.28924/2291-8639-23-2025-109

BibTeX

@article{Ahmed2025,
  author  = {Ahmed, Aijaz and Shaikh, Abdul Wasim and Shah, Shujaat Ali},
  title   = {Fekete-Szegö Problem for Certain Analytic Functions of Complex Order Associated With Cardioid Domain},
  journal = {Int. J. Anal. Appl.},
  volume  = {23},
  year    = {2025},
  pages   = {109},
  doi     = {10.28924/2291-8639-23-2025-109}
}

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