ABSTRACT
Functions
6.1 Introduction
Most of the special functions occurring in applied mathematics, engineer-
ing, and statistics are special cases of the Fox H-functions known as gen-
eralized Mellin-Barnes functions or generalized G-functions. The results of
H-functions are obtainable in compact form as compared to those involving
G-functions. Despite being one of the most general classes of special functions,
the H-functions fail to accommodate the generalized incomplete gamma func-
tions (2.64) and (2.65) found useful in applied mathematics, statistics, engi-
neering and astrophysics. For this purpose, we dene a pair of functions that
provides an analytic representation of the solutions to a large class of prob-
lems that naturally and simply extends the generalized incomplete gamma
functions.
