Identities involving mock theta functions and theta functions

Identities involving mock theta functions and theta functions
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DOI:
10.1090/proc/16343
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发表时间:
2023
期刊:
Proceedings of the American Mathematical Society
影响因子:
--
通讯作者:
Chun Wang
Chun Wang
中科院分区:
--
文献类型:
--
作者:
Hanfei Song;Chun Wang

文献摘要

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In this paper, we first present new representations for several mock theta functions. In view of the sign flips on these identities, some interesting results involving theta functions are established by new Bailey pairs and Watson’s . 8. ϕ. 7. _8phi _7. transformation formula. Moreover, the truncated forms for the theta series identities are also considered.