Results 41 to 50 of about 356 (101)

Picard-Hayman behavior of derivatives of meromorphic functions

, 2020
Let f be a transcendental meromorphic function on C, and P (z),Q(z) be two polynomials with degP (z) > degQ(z). In this paper, we prove that: if f (z) = 0 ⇒ f ′(z) = a(a nonzero constant), except possibly finitely many, then f ′(z)−P (z)/Q(z) has ...
Yan Xu, Shirong Chen, P. Niu
semanticscholar   +1 more source

Efficacy of an oral chew containing fibre and Bacillus velezensis C‐3102 in the management of anal sac impaction in dogs

Veterinary Dermatology, Volume 36, Issue 1, Page 74-82, February 2025.
Background — Anal sac impaction is common in dogs and manual expression may be effective, yet recurrence remains a problem. To facilitate physiological emptying of the sacs, it is important to maintain a bulky stool consistency. Objectives — The study evaluated if supplementation with ProGlan, a complementary feed containing Bacillus velezensis C‐3102 ...
Marta Salichs, Shea Beasley, Josep Homedes   +2 more
wiley   +1 more source

Some results on the value distribution of differential polynomials

Open Mathematics, 2023
In this article, we study some results on the value distribution of differential polynomials and mainly prove the following theorem: suppose that PP is a polynomial with degP≥3{\rm{\deg }}\hspace{0.33em}P\ge 3 and ff is a transcendental meromorphic ...
Fan Jinyu, Xiao Jianbin, Fang Mingliang
doaj   +1 more source

The general solutions of an auxiliary ordinary differential equation using complex method and its applications

, 2014
In this paper, we employ the complex method to obtain all meromorphic solutions of an auxiliary ordinary differential equation at first, and then find all meromorphic general solutions of in combination the Newell-Whitehead equation, the NLS equation ...
W. Yuan, Zifeng Huang, Mao jing Fu, Jinchun Lai   +3 more
semanticscholar   +1 more source

Normal families of meromorphic functions sharing values or functions

Journal of Inequalities and Applications, 2011
In this paper, we investigate the normal families of meromorphic functions concerning shared values and shared analytic functions and prove some normal criteria that generalize or extend some results obtained by Q. C. Zhang, Y. T. Li and Y. X. Gu, J.
Jiang Yunbo, Gao Zongsheng
doaj  

Uniqueness of meromorphic functions concerning small functions and derivatives-differences

Demonstratio Mathematica
In this article, we study the unicity of meromorphic functions concerning small functions and derivatives-differences. The results obtained in this article extend and improve some results of Chen et al.
He Zhiying, Fang Mingliang, Xiao Jianbin
doaj   +1 more source

Uniqueness of meromorphic functions sharing two values

Journal of Inequalities and Applications, 2012
In this article, we shall study the uniqueness problems on meromorphic functions sharing nonzero finite value or having fixed points. Our results extend the corresponding results of Fang and Hua, Yang and Hua, and Fang and Qiu. MSC 2010: 30D35, 30D30.
Yinhong Cao, Xiao-Bin Zhang
semanticscholar   +1 more source

Some results about a special nonlinear difference equation and uniqueness of difference polynomial

Journal of Inequalities and Applications, 2011
In this paper, we continue to study a special nonlinear difference equation solutions of finite order entire function. We also continue to investigate the value distribution and uniqueness of difference polynomials of meromorphic functions.
Ding Jie, Zhu Taiying, Qi Jianming
doaj  

On Transcendental Entire Solution of Fermat-Type Trinomial and Binomial Equations Under Restricted Hyper-Order

Annales Mathematicae Silesianae
In this paper we are focusing on finding the transcendental entire solution of Fermat-type trinomial and binomial equations, by restricting the hyper-order to be less than one.
Banerjee Abhijit, Sarkar Jhuma
doaj   +1 more source

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

Open Mathematics, 2016
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).
Zheng Xiu-Min, Xu Hong-Yan
doaj   +1 more source