UNICITY OF MEROMORPHIC FUNCTIONS OF CLASS A

Jank and Terglane gave a unicity condition of three meromorphic functions of class A. We generalize this unicity condition for arbitrary q meromorphic functions, and prove that the condition is sharp in the cases q = 3 and 4. Moreover, we provide a conjecture concerning this aspect.

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Bibliographic Details
Published inTaiwanese journal of mathematics Vol. 12; no. 3; pp. 821 - 827
Main Authors Chen, Ten-Ging, 陳天進, Chen, Keng-Yan, 陳耿彥
Format Journal Article
LanguageEnglish
Published Mathematical Society of the Republic of China (Taiwan) 01.06.2008
Subjects
Mathematical functions
Mathematical theorems
Meromorphic functions
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Summary:Jank and Terglane gave a unicity condition of three meromorphic functions of class A. We generalize this unicity condition for arbitrary q meromorphic functions, and prove that the condition is sharp in the cases q = 3 and 4. Moreover, we provide a conjecture concerning this aspect.
ISSN:1027-5487
2224-6851
DOI:10.11650/twjm/1500602438