Some new representations of Hikami's second-order mock theta function $\mathfrak{D}_5(q)$

Authors

QIUXIA HU

DOI

10.3906/mat-2106-12

Abstract

In this paper, a second-order mock theta function $\mathfrak{D}_5(q)$ given by Hikami [11] is studied. By using basic hypergeometric transformation formulae, we attain some new representations of Hikami's mock theta function $\mathfrak{D}_5(q)$. Meanwhile, dual nature of bilateral series associated to mock theta function $\mathfrak{D}_5(q)$ is also discussed.

Keywords

Second-order mock theta function, $q$-hypergeometric series, dual nature, Appell-Lerch sums

First Page

2248

Last Page

2259

Recommended Citation

HU, QIUXIA (2021) "Some new representations of Hikami's second-order mock theta function $\mathfrak{D}_5(q)$," Turkish Journal of Mathematics: Vol. 45: No. 5, Article 25. https://doi.org/10.3906/mat-2106-12
Available at: https://journals.tubitak.gov.tr/math/vol45/iss5/25