Some new representations of Hikami’s second-order mock theta function D5(q)

Abstract

In this paper, a second-order mock theta function D5(q) given by Hikami [11] is studied. By using basic hypergeometric transformation formulae, we attain some new representations of Hikami’s mock theta function D5(q). Meanwhile, dual nature of bilateral series associated to mock theta function D5(q) is also discussed.