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arxiv: 1604.05077 · v1 · pith:KLDLDFPSnew · submitted 2016-04-18 · 🧮 math.CA

Mathieu-type series built by (p, q)-extended Gaussian hypergeometric function

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keywords seriesextendedfunctionhypergeometricmathieu-typealternatingassociatedboldsymbol
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The main purpose of this paper is to present closed integral form expressions for the Mathieu-type $\boldsymbol a$-series and its associated alternating version whose terms contain a $(p, q)$-extended Gauss' hypergeometric function. Certain upper bounds for the two series are also given.

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