ON A SPECIAL CLASS OF LOGHARMONIC MAPPINGS

<p dir="ltr">This paper considers a special class <i>S</i>_<em>L</em><i>(</i><i>h) </i>of logharmonic mappings of the form<i> f</i> (<i>z</i>) = <i>h (z) h' (z)</i> where h is analytic in the unit disk <i>U</i>, normalized by , , and h(<i>U</i>) is starlike. For this class of functions, a distortion theorem is proved, and Bohr’s inequality along with some improvements and refinements is investigated. In addition, the radius of starlikeness and an estimate for arclength are obtained.</p><h2>Other Information</h2><p dir="ltr">Published in: Journal of Mathematical Sciences<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1007/s10958-024-06927-2" target="_blank">https://dx.doi.org/10.1007/s10958-024-06927-2</a></p>