New criteria for Carathéodory functions
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DOI: 10.1186/s13660-019-1970-5
Abstract: The object of the present paper is to investigate various conditions for Carathéodory functions in the open unit disk. Also we give some applications to univalent functions as special cases. read more here.
Keywords: odory functions; criteria carath; new criteria; carath odory ... See more keywords
On Classes of Non-Carathéodory Functions Associated with a Family of Functions Starlike in the Direction of the Real Axis
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DOI: 10.3390/axioms12010024
Abstract: In this paper, we introduce a new class of analytic functions subordinated by functions which is not Carathéodory. We have obtained some interesting subordination properties, inclusion and integral representation of the defined function class. Several… read more here.
Keywords: associated family; non carath; classes non; functions associated ... See more keywords