engleski

Functional bounds for Exton's double hypergeometric X function

We obtain 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. Another derivation method gives a by-product for the Srivastava-Daoust generalized hypergeometric function of three variables. The main tools are certain representation formulae for the McKay I_nu Bessel probability distribution's cumulative distribution function established recently in [1, 2].

Modified Bessel functions of the first kind ; McKay I_nu Bessel distribution ; Grünwald-Letnikov fractional derivative ; Incomplete Lipschitz-Hankel integral ; Exton X function ; Srivastava-Daoust S function ; Functional bounding inequality

nije evidentirano