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http://dx.doi.org/10.4134/BKMS.b160313

MATHIEU-TYPE SERIES BUILT BY (p, q)-EXTENDED GAUSSIAN HYPERGEOMETRIC FUNCTION  

Choi, Junesang (Department of Mathematics Dongguk University)
Parmar, Rakesh Kumar (Department of Mathematics Government College of Engineering and Technology)
Pogany, Tibor K. (Faculty of Maritime Studies University of Rijeka)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.3, 2017 , pp. 789-797 More about this Journal
Abstract
The main purpose of this paper is to present closed integral form expressions for the Mathieu-type 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.
Keywords
(p, q)-extended Beta function; (p, q)-extended Gaussian hypergeometric function; integral representations; Mathieu-type series; Cahen formula; bounding inequality;
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Times Cited By KSCI : 1  (Citation Analysis)
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