Integral Averages of Two Generalizations of the Poisson Kernel by Haruki and Rassias

[摘要] In \tccheck{1997}, Haruki and Rassias introduced two generalizations of the Poisson kernel in two dimensions and discussed integral formulas for them. Furthermore, they presented an open problem. In \tccheck{1999}, Kim gave a solution to that problem. Here, we give a solution to this open problem by means of a different method. The purpose of this paper is to give integral averages of two generalizations of the Poisson kernel, that is, we generalize the open problem.

[学科分类] 应用数学