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Coefficient Bounds for New Subclass of Starlike Functions with Respect to Symmetric Points Associated with an Epicycloid
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DOI：10.3390/math14071203.png)
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Abstract
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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.
Keywords:
analytic functions
epicycloid
subordination
Fekete-Szeg & ouml
inequality
logarithmic functions
Hermitian-Toeplitz determinant
Zalcman functional
Krushkal inequality
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