The incomplete exponential
\boldmath{$_pR_q(\alpha,\beta;z)$}
function with some applications
Abstract
In this paper, we are motivated to establish a generalization of
$_pR_q(\alpha,\beta;z)$ function in
terms of incomplete exponential functions and obtain some properties of
the incomplete exponential
$_pR_q(\alpha,\beta;z)$ function.
Further we give generating relations for incomplete exponential
$_pR_q(\alpha,\beta;z)$ function. Some
applications related to ground water pumping (Hydrology) modelling and
probability theory have also been discussed.