On Convergence of q-Series Involving ϕr+1r Basic Hypergeometric Series

On Convergence of q-Series Involving ϕr+1r Basic Hypergeometric Series

We use inequality technique and the terminating case of the q-binomial formula to give some results on convergence of q-series involving ϕr+1r basic hypergeometric series. As an application of the results, we discuss the convergence for special Thomae q-integral.

Bibliographic Details
Main Authors: Mingjin Wang, Xilai Zhao
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2009/170526
id doaj-b10b1cb545a549c2b8e31f9e2d1fd46b
record_format Article
spelling doaj-b10b1cb545a549c2b8e31f9e2d1fd46b2020-11-24T23:15:39ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-01200910.1155/2009/170526On Convergence of q-Series Involving ϕr+1r Basic Hypergeometric SeriesMingjin WangXilai ZhaoWe use inequality technique and the terminating case of the q-binomial formula to give some results on convergence of q-series involving ϕr+1r basic hypergeometric series. As an application of the results, we discuss the convergence for special Thomae q-integral. http://dx.doi.org/10.1155/2009/170526
collection DOAJ
language English
format Article
sources DOAJ
author Mingjin Wang
Xilai Zhao
spellingShingle Mingjin Wang
Xilai Zhao
On Convergence of q-Series Involving ϕr+1r Basic Hypergeometric Series
Journal of Inequalities and Applications
author_facet Mingjin Wang
Xilai Zhao
author_sort Mingjin Wang
title On Convergence of q-Series Involving ϕr+1r Basic Hypergeometric Series
title_short On Convergence of q-Series Involving ϕr+1r Basic Hypergeometric Series
title_full On Convergence of q-Series Involving ϕr+1r Basic Hypergeometric Series
title_fullStr On Convergence of q-Series Involving ϕr+1r Basic Hypergeometric Series
title_full_unstemmed On Convergence of q-Series Involving ϕr+1r Basic Hypergeometric Series
title_sort on convergence of q-series involving ϕr+1r basic hypergeometric series
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2009-01-01
description We use inequality technique and the terminating case of the q-binomial formula to give some results on convergence of q-series involving ϕr+1r basic hypergeometric series. As an application of the results, we discuss the convergence for special Thomae q-integral.
url http://dx.doi.org/10.1155/2009/170526
work_keys_str_mv AT mingjinwang onconvergenceofqseriesinvolvingx03d5r1rbasichypergeometricseries
AT xilaizhao onconvergenceofqseriesinvolvingx03d5r1rbasichypergeometricseries
_version_ 1725589925550620672

Similar Items