FUNCTIONAL BOUNDS FOR EXTON'S DOUBLE HYPERGEOMETRIC X FUNCTION br

JOURNAL OF MATHEMATICAL INEQUALITIES(2023)

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摘要
Functional and uniform bounds for Exton's generalized hypergeometric X function of two variables and an associated incomplete Lipschitz-Hankel integral, as an auxiliary result, are obtained. A by-product for the Srivastava-Daoust generalized hypergeometric function of three variables is given by another derivation method. The main tools are certain representation formulae for the McKay Iv Bessel probability distribution's cumulative distribution function established recently in [3.5].
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关键词
Modified Bessel functions of the first kind,McKay v Bessel distribu- ion,Gr?nwald-Letnikov fractional derivative,incomplete Lipschitz-Hankel integral,Exton X function,Srivastava-Daoust function,functional bounding inequality
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