The solution of an open problem given by H. Haruki and T. M. Rassias
This paper contains a solution to an open problem concerning an integral formula in \textit{H. Haruki} and \textit{T. M. Rassias} [J. Appl. Math. Stoch. Anal. 10, 191-196 (1997; Zbl 0892.31001)], where some generalizations of the Poisson kernel were defined, one of them is \(Q(\theta;a,b)\). The problem then was to evaluate \[ {1\over 2\pi}\int_{0}^{2\pi}Q(\theta;a,b)^{n+1} d\theta \] for \(n>1\).
scientific article; zbMATH DE number 1383845