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New mock theta functions and formulas for basic hypergeometric series
Published online by Cambridge University Press: 22 August 2023
Abstract
In recent years, mock theta functions in the modern sense have received great attention to seek examples of q-hypergeometric series and find their alternative representations. In this paper, we discover some new mock theta functions and express them in terms of Hecke-type double sums based on some basic hypergeometric series identities given by Z.G. Liu.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 66 , Issue 3 , August 2023 , pp. 868 - 896
- Copyright
- © The Author(s), 2023. Published by Cambridge University Press.