eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2016-11-05 4 6 164 167 10.12691/tjant-4-6-3 TJANT2016463 article Applications of Z-transform to Some Elemantary Functions in q- and (p,q)-Calculus Erkan Agyuz agyuz@gantep.edu.tr 1 Mehmet Acikgoz 1 Department of Mathematics, Faculty of Arts and Science, University of Gaziantep, TR-27310 Gaziantep, Turkey In this paper, we give Z-transform which is a generalization of Laplace transform for solving difference equations some of q and (p,q)-elementary functions, (p, q)- numbers, (p, q)-array and (p, q)-Binom coefficients. http://pubs.sciepub.com/tjant/4/6/3/tjant-4-6-3.pdf Z-transform q and (p q)-calculus Binom Coefficients trigonometric and exponential functions