Filling Disks of Hayman Type of Meromorphic Functions. (31st May 2016)

• Record Type: Journal Article
• Authors: Wu, Nan; Xuan, Zuxing
• Other Names: Chung Jaeyoung Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-05-31
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/9315248
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We obtain the existence of the filling disks with respect to Hayman directions. We prove that, under the condition limsup r → ∞ ⁡ ( T r, f / log ⁡ r 3 ) = ∞, there exists a sequence of filling disks of Hayman type, and these filling disks can determine a Hayman direction. Every meromorphic function of positive and finite order ρ has a sequence of filling disks of Hayman type, which can also determine a Hayman direction of order ρ .