Abstract
In 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 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.