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Öğe Addition theorem for exton’s q–exponential functions(Eudoxus Press, LLC, 2020) Belaghi, Mahmoud Jafari Shah; Kuruoğlu, NuriIn this paper, we study about the q-exponential function which was introduced by Exton. We propose the addition theorem for this q–exponential function and also Continued fraction representation for this q–exponential function is given. © 2020, Eudoxus Press, LLC. All rights reserved.Öğe On Gosper's q-Trigonometric Function(Eudoxus Press, Llc, 2016) Belaghi, Mahmoud Jafari Shah; Kuruoglu, NuriIn 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.Öğe On Gosper’s q-trigonometric function(Eudoxus Press, LLC, 2016) Belaghi, Mahmoud Jafari Shah; Kuruoğlu, NuriIn 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.