2阶齐次线性偏微分方程与特殊函数乘积关联的整函数解（英文）

The Entire Solutions of Homogeneous Linear Partial Differential Equations of the Second Order Related to Products of Special Functions

利用高维值分布理论、特殊函数理论以及经典的特殊常微分方程,研究了几个2阶齐次线性偏微分方程,给出了这些偏微分方程与特殊函数乘积密切相关的整函数解的特征,开辟了偏微分方程研究的新途径.

By using value distribution theory in heigh dimensional spaces,special functions and classic ordinary differiantial equations,some homogenius linear partial differiantial equations of second order are studied by characterizing entire solutions related closely products of special functions,and a new direction of partial differential equations is enhibited.