ESTIMATES OF THE INITIAL TAYLOR-MACLAURIN COEFFICIENTS OF A GENERAL SUBCLASS OF BI-BAZILEVIC TYPE FUNCTIONS
Özet
This paper introduces a novel subclass of generalized bi-Bazileviˇc functions, which unifies and bridges several well-known subclasses, such as bi-starlike and bi-convex functions. We derive bounds for the initial coefficients of the defined
class through the generating function of Horadam polynomials and establish estimates for the famous Fekete–Szeg ̈o inequality. Additionally, we provide relevant connections to previously established results. By specializing the pa-
rameters in our main results, we obtain further interesting findings that extend the scope of this study.
Atıf için künye
Orhan, H., Tejas, N. S., Raju, D. S., & Magesh, N. (2024). ESTIMATES OF THE INITIAL TAYLOR-MACLAURIN COEFFICIENTS OF A GENERAL SUBCLASS OF BI-BAZILEVIC TYPE FUNCTIONS. General Mathematics, 32(2), 1–15. https://doi.org/10.2478/gm-2024-0008
BibTeX
@article{orhan2024-73134,
author = {Orhan, Halit and Tejas, N. S. and Raju, D. S. and Magesh, Nanjundan},
title = {ESTIMATES OF THE INITIAL TAYLOR-MACLAURIN COEFFICIENTS OF A GENERAL SUBCLASS OF BI-BAZILEVIC TYPE FUNCTIONS},
journal = {General Mathematics},
year = {2024},
volume = {32},
number = {2},
pages = {1--15},
issn = {1221-5023},
doi = {10.2478/gm-2024-0008},
url = {https://akademik.atauni.edu.tr/yayinlar/73134-estimates-of-the-initial-taylor-maclaurin-coefficients-of-a-general-subclass-of}
}