On generalized close-to-convexity related with strongly Janowski functions
DOI:
https://doi.org/10.24193/subbmath.2023.4.09Keywords:
Starlike, convex, bounded boundary rotation, Caratheodory and Janowski functions, subordination, convolutionAbstract
Janowski functions of strongly type are used to define certain classes of
analytic functions which generalize the concept of close-to-convexity and
bounded boundary rotation. Coefficient results, a necessary condition,
distortion bounds, Hankel determinant problem and several other interesting
properties of these classes are studied. Some significant well known results
are derived as special cases.
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