engleski

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

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.

(p ; q)-extended Beta function ; (p ; q)-extended Gaussian hypergeometric function ; Integral representations ; Mathieu--type series ; Cahen formula ; Bounding inequality

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