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, Carathéodory and Janowski functions, subordination, convolution.Abstract
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.
Mathematics Subject Classification (2010): 30C45, 30C50, 30C80.
Received 17 October 2020; Accepted 11 November 2020. Published Online: 2023-12-11 Published Print: 2023-12-30
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