Results 51 to 60 of about 714 (163)
Non-linear difference polynomials sharing a polynomial with finite weight
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
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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
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Growth of meromorphic solutions of higher-order linear differential equations
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
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A uniqueness theorem for meromorphic functions
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
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Algebraic values of meromorphic functions—II
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.
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Meromorphic Solutions of Some Complex Difference Equations
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
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Unicity of Meromorphic Function Sharing One Small Function with Its Derivative
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
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An Expansion of Meromorphic Functions [PDF]
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Two results on the value distribution of meromorphic functions
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
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