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Abstract
This paper studies the class consisting of univalent logharmonic mappings in the unit disk
, where
and
are analytic in
and
is a normalized starlike analytic function. A representation theorem for these mappings is obtained, which yields sharp distortion estimates, and a sharp Bohr radius.
AMS Subject Classifications:
Acknowledgements
The authors are thankful to the referees for the suggestions that helped improve the clarity of this manuscript.
Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
The work presented here was supported in parts by a research university [grant number 1001/PMATHS/811280] from Universiti Sains Malaysia.