TY - JOUR ID - 1055 TI - Five-value rich lines‎, ‎Borel directions and uniqueness of meromorphic functions JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Long, J.R. AD - School of Mathematical Sciences‎, ‎Guizhou Normal University‎, ‎550001‎, ‎Guiyang‎, ‎P.R‎. ‎China ‎School of Computer Sciences and School of Sciences‎, ‎Beijing University of Posts and Telecommunications‎, ‎Beijing‎, ‎100876‎, ‎P.R‎. ‎China‎. Y1 - 2017 PY - 2017 VL - 43 IS - 5 SP - 1467 EP - 1478 KW - Borel direction KW - five-value rich line KW - meromorphic function KW - sharing value KW - uniqueness DO - N2 - For a meromorphic function $f$ in the complex plane, we shall introduce the definition of five-value rich line of $f$, and study the uniqueness of meromorphic functions of finite order in an angular domain by involving the five-value rich line and Borel directions. Finally, the relationship between a five-value rich line and a Borel direction is discussed, that is, every Borel direction of $f$ is its five-value rich line, and the inverse statement holds when $f$ is of infinite order. UR - http://bims.iranjournals.ir/article_1055.html L1 - http://bims.iranjournals.ir/article_1055_2eadf39317ec9297f6148fc720caf2ce.pdf ER -