Results 91 to 100 of about 929 (107)

A new result for entire functions and their shifts with two shared values

Open Mathematics
Let ff be a transcendental entire function of hyperorder strictly less than 1, and let cc be a nonzero finite complex number. We prove that if f(z)f\left(z) and f(z+c)f\left(z+c) partially share 0, 1 ignoring multiplicity (i.e., E¯(0,f(z))⊆E¯(0,f(z+c ...
Xu Aizhu, Lin Peiqiang, Chen Shengjiang
doaj   +1 more source

On Picard Value Problem of Some Difference Polynomials [PDF]

Arab. J. Math. (2018) 7: 27, 2017
In this paper, we study the value distribution of zeros of certain nonlinear difference polynomials of entire functions of finite order.
arxiv  

Brück Conjecture with hyper-order less than one [PDF]

arXiv, 2017
In this paper we affirm Br\"{u}ck conjecture provided $f$ is of hyper-order less than one by studying the infinite hyper-order of solutions of a complex differential equation.
arxiv  

Two results on the value distribution of meromorphic functions

Open Mathematics
In this article, we prove two results on the value distribution of meromorphic functions. Using the theorem of Yamanoi, the first result gives a precise estimation of the relationship between the characteristic function of a meromorphic function and its ...
Yang Degui, He Zhiying, Liu Dan
doaj   +1 more source

Existence of zero-order meromorphic solutions of certain q-difference equations. [PDF]

J Inequal Appl, 2018
Du Y, Gao Z, Zhang J, Zhao M.
europepmc   +1 more source

Computation of Nevanlinna characteristic functions derived from generating functions of some special numbers. [PDF]

J Inequal Appl, 2018
Araci S, Acikgoz M.
europepmc   +1 more source

Entire functions sharing a small function with their two difference operators. [PDF]

Adv Differ Equ, 2017
Lü F, Wang Y, Xu J.
europepmc   +1 more source

Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations. [PDF]

J Inequal Appl, 2017
Gu Y, Qi J.
europepmc   +1 more source

Entire solutions of nonlinear differential-difference equations. [PDF]

Springerplus, 2016
Li C, Lü F, Xu J.
europepmc   +1 more source

Some results on uniqueness and higher order difference equations

Open Mathematics
In this article, we mainly study the solution of higher order difference equations. We solve some questions posed by Chen and Xu [Uniqueness on entire functions and their nth order exact differences with two shared values, Open Math. 18 (2020), no.
An Jia, Zhang Haiying, Wang Ge, Fang Mingliang   +3 more
doaj   +1 more source