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

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• 作者：Tibor K. Pogá ; ny ; Ž ; ivorad Tomovski
• 关键词：Mathieu cb3fdd5b87df2f396e2">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 and (ii) Meijer’s 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.