Results 91 to 100 of about 2,380 (213)

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

Meromorphic continuation of the Goldbach generating function

open access: yes, 2011
We consider the Dirichlet series associated to the number of representations of an integer as a sum of primes. Assuming certain reasonable hypotheses on the distribution of the zeros of the Riemann zeta function we obtain the domain of meromorphic ...
Schlage-Puchta, Jan-Christoph   +1 more
core   +1 more source

On Factorization of Bicomplex Meromorphic Functions [PDF]

open access: yes, 2020
. In this paper the factorization theory of meromorphic functions of one complex variable is promoted to bicomplex meromorphic functions. Many results of one complex variable case are seen to hold in bicomplex case, and it is found that there are results
D Rochon, K S Charak
core  

Notes on meromorphic functions sharing small function and its derivatives

open access: yes, 2015
In this paper we study the uniqueness theorems of meromorphic functions which share a small function with its derivatives, and give some results which are related to the results of P ...
Amer H.H. Al-Khaladi   +1 more
core   +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

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

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 function sharing entire functions IM with its first derivative

open access: yes, 2021
In this paper, we use the idea of normal family to investigate the problem of meromorphic function having finitely many poles that share entire functions IM with its first derivative.
Sarkar, Jeet, Majumder, Sujoy
core  

On the expansion of a meromorphic function in partial fractions

open access: yes, 2017
Текст статьи не публикуется в открытом доступе в соответствии с политикой журнала.The paper is devoted to partial fractions expansion for meromorphic function of one complex variable.
Маергойз, Л. С.
core  

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