The solution of an open problem given by H. Haruki and T. M. Rassias
type: Item
instance of: scholarly article
title: The solution of an open problem given by H. Haruki and T. M. Rassias
zbMATH Open document ID: 0937.31001
DOI: 10.1155/S1048953399000246
author: Bara Kim
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 2000-05-30T00:00:00Z
full work available at URL: https://eudml.org/doc/48410
review text: 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 \(n>1\).
Mathematics Subject Classification ID: 31A05
Mathematics Subject Classification ID: 31A10
zbMATH DE Number: 1383845
zbMATH Keywords: Poisson kernel
zbMATH Keywords: integral formula
MaRDI profile type: Publication
OpenAlex ID: W2026788679
description: scientific article; zbMATH DE number 1383845