On Mathieu-type series whose terms contain a generalized hypergeometric function and Meijer’s G-function

详细信息	查看全文 | 推荐本文 |

• 作者：Tibor K. Pog&#xe1 ; ny ; Ž ; ivorad Tomovski
• 关键词：Mathieu ve&_udi=B6V0V-4P61N60-1&_mathId=mml5&_user=1067359&_cdi=5656&_rdoc=14&_acct=C000050221&_version=1&_userid=10&md5=85c129020e861cb3fdd5b87df2f396e2">Mathematical and Computer Modelling
• 出版年：2008
• 期刊代码：86_08957177
• 类别：cp
• 出版时间：May 2008
• 卷：47
• 期：9-10
• 页码：952-969
• 文件大小：406 K

摘要

Integral expressions are given for some families of Mathieu-type a-series and alternating a-series in the case when the series terms contain: (i) the generalized hypergeometric functions ve&_udi=B6V0V-4P61N60-1&_mathId=mml3&_user=1067359&_cdi=5656&_rdoc=14&_acct=C000050221&_version=1&_userid=10&md5=748590e95b1f7477ee06bddd184744dd">mageURL/B6V0V-4P61N60-1-8S/0?wchp=dGLbVlb-zSkzk" alt="View the MathML source" title="View the MathML source" align="absbottom" border="0" height=15 width="27"/> and (ii) Meijer’s ve&_udi=B6V0V-4P61N60-1&_mathId=mml4&_user=1067359&_cdi=5656&_rdoc=14&_acct=C000050221&_version=1&_userid=10&md5=00a21284faccfa664fa638671f216ab7" title="Click to view the MathML source" alt="Click to view the MathML source">G-function. Using the derived integral representations, bounding inequalities are obtained for these series. The derived integral expressions and the consequent two-sided bounding inequalities generalize some known results published recently by the authors and H.M. Srivastava.