  Integral Mittag-Leffler, Whittaker and Wright functions with integrands
similar to those which already exist in mathematical literature are introduced
for the first time. For particular values of parameters, they can be presented
in closed-form. In most reported cases, these new integral functions are
expressed as generalized hypergeometric functions but also in terms of
elementary and special functions. The behavior of some of the new integral
functions is presented in graphical form. By using the MATHEMATICA program to
obtain infinite sums that define the Mittag-Leffler, Whittaker, and Wright
functions and also their corresponding integral functions, these functions and
many new Laplace transforms of them are also reported in the Appendices for
integral and fractional values of parameters.
