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• # Artykuł - szczegóły

## Open Mathematics

2016 | 14 | 1 | 100-108

## Results on the deficiencies of some differential-difference polynomials of meromorphic functions

EN

### Abstrakty

EN
In this paper, we study the relation between the deficiencies concerning a meromorphic function f(z), its derivative f′(z) and differential-difference monomials f(z)mf(z+c)f′(z), f(z+c)nf′(z), f(z)mf(z+c). The main results of this paper are listed as follows: Let f(z) be a meromorphic function of finite order satisfying lim sup r→+∞ T(r, f) T(r,  f ′ ) <+∞, $$\mathop {\lim \,{\rm sup}}\limits_{r \to + \infty } {{T(r,\,f)} \over {T(r,\,f')}}{\rm{ < }} + \infty ,$$ and c be a non-zero complex constant, then δ(∞, f(z)m f(z+c)f′(z))≥δ(∞, f′) and δ(∞,f(z+c)nf′(z))≥ δ(∞, f′). We also investigate the value distribution of some differential-difference polynomials taking small function a(z) with respect to f(z).

EN

100-108

wydano
2016-01-01
otrzymano
2015-08-28
zaakceptowano
2015-11-24
online
2016-02-24

### Twórcy

autor
• Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi, 330022,
autor
• Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen, Jiangxi, 333403,