This article is cited in 1 paper

Some properties of meromorphic solutions of logarithmic order to higher order linear difference equations

Benharrat Belaїdi

Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem (UMAB), B.P. 227 Mostaganem-(Algeria)

Abstract: This paper is devoted to the study of the growth of solutions of the linear difference equation
\begin{gather*} A_n(z)f(z+n)+A_{n-1}(z)f(z+n-1)\\ +\dots+A_1(z)f(z+1)+A_0(z)f(z)=0, \end{gather*}
where $A_n(z),\dots,A_0(z)$ are entire or meromorphic functions of finite logarithmic order. We extend some precedent results due to Liu and Mao, Zheng and Tu, Chen and Shon and others.

Keywords and phrases: linear difference equations, meromorphic function, logarithmic order, logarithmic type, logarithmic lower order, logarithmic lower type.

MSC: 39A10, 30D35, 39A12

Received: 25.09.2015

Language: English

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