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

Abstract EN

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.