What question did this study set out to answer?

The aim is to explore a new subclass of starlike functions and derive coefficient bounds.

April 7, 2026Open Access

Coefficient Bounds for New Subclass of Starlike Functions with Respect to Symmetric Points Associated with an Epicycloid

BKBüşra KörfeciDicle University HGH. Özlem GüneyDicle University

Puntos clave

The aim is to explore a new subclass of starlike functions and derive coefficient bounds.
Defined a new subclass BSk−1* of starlike functions based on epicycloid geometry.
Derived bounds for the first five Taylor coefficients of functions in this subclass.
Obtained the first three coefficients of the logarithmic function associated with these behaviors.
Established upper and lower bounds for important functionals connected to the coefficients.
Identified specific bounds for the first five Taylor coefficients.
Established bounds for several functionals and determinants related to the functions.
Provided insights into the behavior of functions within the newly defined subclass.

Resumen

This paper presents a new subclass BSk−1* of starlike functions with respect to symmetric points associated with a domain bounded by an epicycloid with k−1 cusps. First, we derive bounds for the first five Taylor coefficients of functions in this subclass and obtain the first three coefficients of the corresponding logarithmic function. Moreover, for some special values, upper and lower bounds are established for several important functionals and determinants associated with the coefficients of functions in this subclass.

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Cite This Study

Körfeci et al. (Fri,) studied this question.

synapsesocial.com/papers/69d49f1cb33cc4c35a227a6c https://doi.org/https://doi.org/10.3390/math14071203

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