Inequalities of Coefficients and the Fekete-Szegö Problem Associated with λ-Pseudo Starlike Functions

Authors

Musthafa Ibrahim College of Engineering, University of Buraimi, Al Buraimi, Oman https://orcid.org/0000-0003-3622-0358
Baskaran Sudharsanan Department of Mathematics, Agurchand Manmull Jain College, Meenambakkam, Chennai, 600061, Tamil Nadu, India https://orcid.org/0000-0001-8980-9671
Alina Alb Lupaş Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania https://orcid.org/0000-0002-2855-7535
Saravanan Gunasekar Department of Mathematics, PG and Research, Pachaiyappa‘s College, Chennai-600030, Tamil Nadu, India https://orcid.org/0000-0002-5706-4174
Sibel Yalçin Department of Mathematics, Bursa Uludag University, 16059, Bursa, Turkey https://orcid.org/0000-0002-0243-8263

DOI:

https://doi.org/10.37256/cm.5420245312

Keywords:

analytic functions, inverse functions, fekete-szegö inequality, coefficient inequalities, λ-pseudo starlike functions, subordination

Abstract

We introduce a new subclass of starlike functions, denoted by , that are influenced by the Janowski functions, which are well-known in the literature. Our main results are the coefficient estimates of the inverse function and the Fekete-Szegö inequality for this subclass. We also present some special cases of our results that are of interest.

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Published

2024-12-12

Issue

Contemporary Mathematics, Volume 5 Issue 4 (2024), 4132-6581

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.