Some cubic summation and transformation formulas
type: Item
instance of: scholarly article
title: Some cubic summation and transformation formulas
zbMATH Open document ID: 0906.33010
DOI: 10.1023/A:1009709230064
author: Mizan Rahman
published in: The Ramanujan Journal
publication date: 1999-02-22T00:00:00Z
review text: This informative paper deals with the basic analogous of two summation formulas and a cubic transformation formula involving Gaussian hypergeometric function \(_2F_1\). The author uses the \(q\)-binomial formula in the base \(q^3\) and certain known series manipulative techniques to obtain his interesting results.
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 33C05
Mathematics Subject Classification ID: 33D05
zbMATH DE Number: 1185669
zbMATH Keywords: basic hypergeometric series
zbMATH Keywords: basic hypergeometric function
zbMATH Keywords: \(q\)-analogues
zbMATH Keywords: summation formulas
reviewed by: Ajendra Nath Srivastava
MaRDI profile type: Publication
full work available at URL: a:1009709230064
OpenAlex ID: W56632110
description: scientific article; zbMATH DE number 1185669