Analytical Study of Thermonuclear Reaction Probability Integrals
  An analytic study of the reaction probability integrals corresponding to the various forms of the slowly varying cross-section factor $S(E)$ is attempted. Exact expressions for reaction probability integrals are expressed in terms of the extended gamma functions. 
M.A. Chaudhry (King Fahd University, Saudi Arabia), H.J. Haubold (UN,   Austria), and A.M. Mathai (McGill University, Canada)