On Growth of Meromorphic Solutions of Complex Functional Difference Equations
Joint Authors
Zhang, Jianjun
Liao, Liangwen
Li, Jing
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-25
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The main purpose of this paper is to investigate the growth order of the meromorphic solutions of complex functional difference equation of the form ( ∑ λ ∈ I α λ ( z ) ( ∏ ν = 1 n f ( z + c ν ) l λ , ν ) ) / ( ∑ μ ∈ J β μ ( z ) ( ∏ ν = 1 n f ( z + c ν ) m μ , ν ) ) = Q ( z , f ( p ( z ) ) ) , where I = { λ = ( l λ , 1 , l λ , 2 , … , l λ , n ) ∣ l λ , ν ∈ ℕ ⋃ { 0 } , ν = 1,2 , … , n } and J = { μ = ( m μ , 1 , m μ , 2 , … , m μ , n ) ∣ m μ , ν ∈ ℕ ⋃ { 0 } , ν = 1,2 , … , n } are two finite index sets, c ν ( ν = 1,2 , … , n ) are distinct complex numbers, α λ ( z ) ( λ ∈ I ) and β μ ( z ) ( μ ∈ J ) are small functions relative to f ( z ) , and Q ( z , u ) is a rational function in u with coefficients which are small functions of f ( z ) , p ( z ) = p k z k + p k - 1 z k - 1 + ⋯ + p 0 ∈ ℂ [ z ] of degree k ≥ 1 .
We also give some examples to show that our results are sharp.
American Psychological Association (APA)
Li, Jing& Zhang, Jianjun& Liao, Liangwen. 2014. On Growth of Meromorphic Solutions of Complex Functional Difference Equations. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1034035
Modern Language Association (MLA)
Li, Jing…[et al.]. On Growth of Meromorphic Solutions of Complex Functional Difference Equations. Abstract and Applied Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1034035
American Medical Association (AMA)
Li, Jing& Zhang, Jianjun& Liao, Liangwen. On Growth of Meromorphic Solutions of Complex Functional Difference Equations. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1034035
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034035