Results 51 to 60 of about 714 (163)

Non-linear difference polynomials sharing a polynomial with finite weight

open access: yesRatio Mathematica
The uniqueness theory of meromorphic function mainly studies the conditions under which there exists only one function satisfying these conditions. The uniqueness theory of entire and meromorphic functions has grown up as an extensive sub-field of value ...
Harina Pandit Waghamore   +1 more
doaj   +1 more source

The Oscillation on Solutions of Some Classes of Linear Differential Equations with Meromorphic Coefficients of Finite [p,q]-Order

open access: yesThe Scientific World Journal, 2013
This paper considers the oscillation on meromorphic solutions of the second-order linear differential equations with the form f′′+A(z)f=0, where A(z) is a meromorphic function with [p,q]-order.
Hong-Yan Xu, Jin Tu, Zu-Xing Xuan
doaj   +1 more source

Growth of meromorphic solutions of higher-order linear differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2009
In this paper, we investigate the higher-order linear differential equations with meromorphic coefficients. We improve and extend a result of M.S. Liu and C.L.
Wenjuan Chen, Junfeng Xu
doaj   +1 more source

A uniqueness theorem for meromorphic functions

open access: yesМатематичні Студії
In this paper, we prove the uniqueness theorem for a special class of meromorphic functions on the complex plane $\mathbb{C}$. In particular, we study the class of meromorphic functions $f$ in the domain $\mathbb{C}\setminus K'$, where $K'$ is the finite
N. Sushchyk, D. Lukivska
doaj   +1 more source

Algebraic values of meromorphic functions—II

open access: yesTopology, 1965
AbstractWe continue the study of the possible distributions of numbers at which certain meromorphic functions take on algebraic values. In particular, a 1-parameter subgroup of a linear group or an abelian variety which contains sufficiently many algebraic points must itself be an algebraic subgroup.
openaire   +2 more sources

Meromorphic Solutions of Some Complex Difference Equations

open access: yesAdvances in Difference Equations, 2009
The main purpose of this paper is to present the properties of the meromorphic solutions of complex difference equations of the form ∑{J}αJ(z)(∏j∈Jf(z+cj))=R(z,f(z)), where {J} is a collection of all subsets of {1,2,…,n}
Zhi-Bo Huang, Zong-Xuan Chen
doaj   +1 more source

Unicity of Meromorphic Function Sharing One Small Function with Its Derivative

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
We deal with the problem of uniqueness of a meromorphic function sharing one small function with its k's derivative and obtain some results.
Ang Chen, Xiuwang Wang, Guowei Zhang
doaj   +1 more source

Two results on the value distribution of meromorphic functions

open access: yesOpen 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

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