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

Published 18 Apr 2016 in math.CA | (1604.05077v1)

Abstract: 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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