eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2019-01-27 7 1 5 10 10.12691/tjant-7-1-2 TJANT2019712 article Maged G. Bin-Saad mgbinsaad@yahoo.com 1 Jihad Ahmed Younis 1 Department of Mathematics, Aden University, Aden, Khormaksar, P.O.Box 6014, Yemen In this work, by using Laplace integral representation of quadruple function defined in [1], we introduce new generating functions involving some triple hyper-geometric functions and itself. Some particular cases and consequences of our main results are also considered. http://pubs.sciepub.com/tjant/7/1/2/tjant-7-1-2.pdf Laplace transforms triple hyper-geometric functions quadruple hypergeometric functions generating functions