In:
Abstract and Applied Analysis, Hindawi Limited, Vol. 2014 ( 2014), p. 1-5
Abstract:
This paper is to investigate the Schwarzian type difference equation Δ 3 f / Δ f - 3 / 2 Δ 2 f / Δ f 2 k = R z , f = P ( z , f ) / Q ( z , f ) , where R ( z , f ) is a rational function in f with polynomial coefficients, P ( z , f ) , respectively Q ( z , f ) are two irreducible polynomials in f of degree p , respectively q . Relationship between p and q is studied for some special case. Denote d = max p , q . Let f ( z ) be an admissible solution of ( * ) such that ρ 2 ( f ) 〈 1 ; then for s (≥2) distinct complex constants α 1 , … , α s , q + 2 k ∑ j = 1 s δ ( α j , f ) ≤ 8 k . In particular, if N ( r , f ) = S ( r , f ) , then d + 2 k ∑ j = 1 s δ ( α j , f ) ≤ 4 k .
Type of Medium:
Online Resource
ISSN:
1085-3375
,
1687-0409
Language:
English
Publisher:
Hindawi Limited
Publication Date:
2014
detail.hit.zdb_id:
2064801-7
SSG:
17,1
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