Some Properties on Complex Functional Difference Equations

Zhi-Bo Huang and Ran-Ran Zhang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We obtain some results on the transcendental meromorphic solutions of complex functional difference equations of the form ∑λ∈I αλ(z)(∏j=0nf(z+cj)λj)=R(z,f∘p)=((a0(z)+a1(z)(f∘p)+ ⋯ +as(z) (f∘p) s)/(b0(z) + b1(z)(f∘p)+ ⋯ +bt(z)(f∘p) t)), where I is a finite set of multi‐indexes λ = (λ0, λ1, …, λn), c0 = 0, cj ∈ ℂ∖{0} (j = 1,2, …, n) are distinct complex constants, p(z) is a polynomial, and αλ(z) (λ ∈ I), ai(z) (i = 0,1, …, s), and bj(z) (j = 0,1, …, t) are small meromorphic functions relative to f(z). We further investigate the above functional difference equation which has special type if its solution has Borel exceptional zero and pole.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/283895

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:283895

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().