@article{Chakraborty_2020, title={ On the cardinality of a reduced unique range set}, volume={72}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/594}, DOI={10.37863/umzh.v72i11.594}, abstractNote={<p>UDC 517.5<br>Two meromorphic functions are said to share a set $S\subset \mathbb{C}\cup\{\infty\}$ ignoring multiplicities (IM) if $S$ has the same pre-images under both functions. <br>If any two nonconstant meromorphic functions, sharing a set IM, are identical, then the set is called a “reduced unique range set for meromorphic functions’’ (in short, RURSM or URSM-IM).</p> <p>From the existing literature, it is known that there exists a RURSM with seventeen elements. In this article, we reduced the cardinality of an existing RURSM and established that there exists a RURSM with fifteen elements. Our result gives an affirmative answer to the question of L. Z. Yang <br>(Int. Soc. Anal., Appl., and Comput., <strong>7</strong>, 551–564 (2000)).</p>}, number={11}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Chakraborty, B.}, year={2020}, month={Nov.}, pages={1553-1563} }