On meromorphic solutions of linear partial differential equations of second order

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:393

Article

Hu, Pei-Chu²  Li, Bao Qin¹ 

[1] Florida Int Univ, Dept Math, Miami, FL 33199 USA

[2] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China

关键词: Entire solution;    Meromorphic solution;    Jacobi equation;    Jacobi series;    Order;    Polynomial coefficient;    Value distribution;   

DOI  :  10.1016/j.jmaa.2012.03.012

来源: Elsevier

【 摘 要 】

This paper is concerned with entire and meromorphic solutions of linear partial differential equations of second order with polynomial coefficients. We will characterize entire solutions for a class of partial differential equations associated with the Jacobi differential equations, and give a uniqueness theorem for their meromorphic solutions in the sense of the value distribution theory, which also applies to general linear partial differential equations of second order. The results are complemented by various examples for completeness. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free