Hankel determinants with Fekete-Szegö parameter for a subset of Bazileviˇ c functions linked with Ma-Minda function
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Date
2025-03-29
Journal Title
Journal ISSN
Volume Title
Publisher
PSR Press
Abstract
Consider a unit disk Ω = {z : |z| < 1}. A large subset of the set of analytic-univalent functions
defined in Ω is examined in this exploration. This new set contains various subsets of the Yamaguchi and
starlike functions, both of which have profound properties in the well-known set of Bazileviˇ c functions. The
Ma-Minda function and a few mathematical concepts, including subordination, set theory, infinite series
formation and product combination of certain geometric expressions, are used in the definition of the new
set. The estimates for the coefficient bounds, the Fekete-Szegö functional with real and complex parameters,
and the Hankel determinants with a real parameter are some of the accomplishments. In general, when some
parameters are changed within their interval of declarations, the set reduces to a number of recognized sets.