On generalizations of theorems involving the third-order mock theta functions
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Abstract:
In this paper, a transformation of bilateral series is again studied. Using this transformation, the generalizations of theorems involving some third-order mock theta functions are derived.References
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Additional Information
- QiuXia Hu
- Affiliation: Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People’s Republic of China
- MR Author ID: 833693
- Email: huqiuxia306@163.com
- ZhiZheng Zhang
- Affiliation: Department of Mathematics, Luoyang Normal University, Luoyang, 471934, People’s Republic of China
- MR Author ID: 353963
- Email: zhzhzhang-yang@163.com
- Received by editor(s): April 14, 2019
- Received by editor(s) in revised form: May 6, 2019
- Published electronically: July 9, 2019
- Additional Notes: The first author is the corresponding author.
This research was supported by the National Natural Science Foundation of China (Grant No. 11871258). - Communicated by: Mourad Ismail
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 125-132
- MSC (2010): Primary 05A30; Secondary 33D15
- DOI: https://doi.org/10.1090/proc/14691
- MathSciNet review: 4042836