Results 61 to 70 of about 929 (107)

The Rickman-Picard Theorem [PDF]

arXiv, 2018
We give a new and conceptually simple proof of the Rickman-Picard theorem for quasiregular maps based on potential-theoretic methods.
arxiv  

Uniqueness of polynomial and differential monomial

Acta Universitatis Sapientiae: Mathematica, 2017
In this paper, we discuss the problem of meromorphic functions sharing small function and present one theorem which extend a result of K. S. Charak and Banarasi Lal [16].
Waghamore Harina P., Husna V.
doaj   +1 more source

Derivatives of meromorphic functions of finite order [PDF]

arXiv, 2013
A result is proved concerning meromorphic functions of finite order in the plane such that all but finitely many zeros of the second derivative are zeros of the first derivative.
arxiv  

Non-Archimedean meromorphic solutions of functional equations

, 2013
In this paper, we discuss meromorphic solutions of functional equations over non-Archimedean fields, and prove analogues of the Clunie lemma, Malmquist-type theorem and Mokhon'ko ...
Hu, Pei-Chu, Luan, Yong-Zhi
core  

Some inequalities related to differential monomials [PDF]

arXiv, 2018
The aim of this paper is to consider the value distribution of a differential monomial generated by a transcendental meromorphic function.
arxiv  

Meromorphic functions with several essential singularities [PDF]

arXiv, 2008
A two-parameter characteristic of functions meromorphic on annuli is introduced and an extension of the Nevanlinna value distribution theory for such functions is proposed.
arxiv  

Results on solutions of several systems of the product type complex partial differential difference equations

Demonstratio Mathematica
This article is devoted to exploring the solutions of several systems of the first-order partial differential difference equations (PDDEs) with product type u(z+c)[α1u(z)+β1uz1+γ1uz2+α2v(z)+β2vz1+γ2vz2]=1,v(z+c)[α1v(z)+β1vz1+γ1vz2+α2u(z)+β2uz1+γ2uz2]=1 ...
Liu Xiao Lan, Xu Hong Yan, Xu Yi Hui, Li Nan   +3 more
doaj   +1 more source

Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations

Open Mathematics, 2016
In this paper, we investigate the value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations, and obtain the results on the relations between the order of the solutions and the ...
Luo Li-Qin, Zheng Xiu-Min
doaj   +1 more source

Infinite growth of solutions of second order complex differential equation

Open Mathematics, 2018
In this paper we study the growth of solutions of second order differential equation f′′ + A(z)f′ + B(z)f = 0. Under certain hypotheses, the non-trivial solution of this equation is of infinite order.
Zhang Guowei
doaj   +1 more source

Study on solutions of the systems of complex product-type PDEs with more general forms in ℂ2

Open Mathematics
With the help of the Nevanlinna theory and the Hadamard factorization theory of meromorphic functions, we mainly give a description of the existence and the forms of the transcendental entire solutions of several product-type complex partial differential
Li Hong, Luo Zhao Sheng, Xu Hong Yan
doaj   +1 more source