New double-sum expansions for certain Mock theta functions

Authors：Hu, Qiuxia; Khan, Bilal; Araci, Serkan^*; Acikgoz, Mehmet

Source：AIMS Mathematics, 2022, 7(9): 17225-17235.

DOI：10.3934/math.2022948

• basic hypergeometric series
• Mock theta functions
• double sums

The study of expansions of certain mock theta functions in special functions theory has a long and quite significant history. Motivated by recent correlations between q-series and mock theta functions, we establish a new q-series transformation formula and derive the double-sum expansions for mock theta functions. As an application, we state new double-sum representations for certain mock theta functions.