A unified approach to the summation and integration formulas for \(q\)-hypergeometric functions. II
type: Item
instance of: scholarly article
title: A unified approach to the summation and integration formulas for \(q\)-hypergeometric functions. II
zbMATH Open document ID: 0934.33020
author: Mizan Rahman
author: Sergei K. Suslov
published in: Methods and Applications of Analysis
publication date: 2000-04-10T00:00:00Z
review text: [For part I see \textit{M. Rahman} and \textit{S. Suslov} in J. Stat. Plann. Inference 54, No. 1, 101-118 (1996; Zbl 0861.33014).] In this paper the authors have obtained the summation formulas for the bilateral \(_2\Psi_2\) series and the balanced \(_3\Psi_3\) series from a Pearson type difference equation on a \(q\)-linear lattice without the benefit of a single transformation formula. The corresponding formulas for Ramanujan type intgrals have also been derived.
Mathematics Subject Classification ID: 33D05
Mathematics Subject Classification ID: 33D15
zbMATH DE Number: 1310570
zbMATH Keywords: Pearson type equation
zbMATH Keywords: \(q\)-linear lattice
zbMATH Keywords: bilateral summation formulas
zbMATH Keywords: Barnes's type integrals
zbMATH Keywords: Ramanujan type intgrals
reviewed by: P. K. Mital
MaRDI profile type: Publication
DOI: 10.4310/MAA.1998.V5.N4.A5
description: scientific article; zbMATH DE number 1310570