Work

Filling Disks of Hayman Type of Meromorphic Functions

Year: 2016

Type: article

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 .

Source: Journal of Function Spaces

DOI: 10.1155/2016/9315248

Authors: Nan Wu, Zuxing Xuan

Institutions: China University of Mining and Technology - Beijing, Beijing Union University

Language: Latvian

Topic: Meromorphic and Entire Functions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,830

Funders: National Natural Science Foundation of China, Natural Science Foundation of Beijing Municipality