Belaghi, Mahmoud Jafari ShahKuruoğlu, Nuri2024-09-112024-09-1120161521-1398https://hdl.handle.net/11363/8361In this paper, we study about periodicity of q-trigonometric function which was introduced by Gosper and also we rewrite the q-analogue of Legendres duplication formula with the same bases. Furthermore, we modify some identities involving q-shifted factorial. ©2016 by Eudoxus Press,LLC,All rights reserved.eninfo:eu-repo/semantics/closedAccessGosper’s q-trigonometric function; Legendres duplication formula; Q-Gamma functionArticle2023813872-s2.0-85014555534Q4