MATHIEU-TYPE SERIES BUILT BY (p, q)-EXTENDED GAUSSIAN HYPERGEOMETRIC FUNCTION
Copyright policy )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 $\boldsymbol a$-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.
Bounding inequality, q)-extended Beta function, 33B20, 33C20 (Primary), 33B15, 33C05 (Secondary), (p ; q)-extended Beta function ; (p ; q)-extended Gaussian hypergeometric function ; Integral representations ; Mathieu--type series ; Cahen formula ; Bounding inequality, Integral representations, (p, Mathieu--type series, Mathematics - Classical Analysis and ODEs, Cahen formula, Classical Analysis and ODEs (math.CA), FOS: Mathematics, q)-extended Gaussian hypergeometric function
Bounding inequality, q)-extended Beta function, 33B20, 33C20 (Primary), 33B15, 33C05 (Secondary), (p ; q)-extended Beta function ; (p ; q)-extended Gaussian hypergeometric function ; Integral representations ; Mathieu--type series ; Cahen formula ; Bounding inequality, Integral representations, (p, Mathieu--type series, Mathematics - Classical Analysis and ODEs, Cahen formula, Classical Analysis and ODEs (math.CA), FOS: Mathematics, q)-extended Gaussian hypergeometric function
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