Bilateral Two-Parameter Mock Theta Functions and Related Applications

In this paper, we investigate new relationships for bilateral series related to two-parameter mock theta functions, which lead to many identities concerning the bilateral mock theta functions. In addition, interesting relations between the classical mock theta functions and the bilateral series are...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2025
1. Verfasser: Wang, Chun
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2025
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/214197
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Bilateral Two-Parameter Mock Theta Functions and Related Applications. Chun Wang. SIGMA 21 (2025), 087, 18 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Wang, Chun
author_facet Wang, Chun
citation_txt Bilateral Two-Parameter Mock Theta Functions and Related Applications. Chun Wang. SIGMA 21 (2025), 087, 18 pages
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description In this paper, we investigate new relationships for bilateral series related to two-parameter mock theta functions, which lead to many identities concerning the bilateral mock theta functions. In addition, interesting relations between the classical mock theta functions and the bilateral series are also concluded.
first_indexed 2026-03-17T23:11:52Z
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language English
last_indexed 2026-03-17T23:11:52Z
publishDate 2025
publisher Інститут математики НАН України
record_format dspace
spelling Wang, Chun
2026-02-20T08:01:09Z
2025
Bilateral Two-Parameter Mock Theta Functions and Related Applications. Chun Wang. SIGMA 21 (2025), 087, 18 pages
1815-0659
2020 Mathematics Subject Classification: 33D15; 11F27
arXiv:2510.15185
https://nasplib.isofts.kiev.ua/handle/123456789/214197
https://doi.org/10.3842/SIGMA.2025.087
In this paper, we investigate new relationships for bilateral series related to two-parameter mock theta functions, which lead to many identities concerning the bilateral mock theta functions. In addition, interesting relations between the classical mock theta functions and the bilateral series are also concluded.
The author would like to express sincere gratitude to the anonymous referees, whose insightful comments and constructive suggestions have significantly enhanced the quality and clarity of this paper. The work is supported by the National Natural Science Foundation of China (Grant No. 12571354), the Shanghai Rising-Star Program (Grant No 23QA1407300), and the China Scholarship Council (CSC).
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Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Bilateral Two-Parameter Mock Theta Functions and Related Applications
Article
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spellingShingle Bilateral Two-Parameter Mock Theta Functions and Related Applications
Wang, Chun
title Bilateral Two-Parameter Mock Theta Functions and Related Applications
title_full Bilateral Two-Parameter Mock Theta Functions and Related Applications
title_fullStr Bilateral Two-Parameter Mock Theta Functions and Related Applications
title_full_unstemmed Bilateral Two-Parameter Mock Theta Functions and Related Applications
title_short Bilateral Two-Parameter Mock Theta Functions and Related Applications
title_sort bilateral two-parameter mock theta functions and related applications
url https://nasplib.isofts.kiev.ua/handle/123456789/214197
work_keys_str_mv AT wangchun bilateraltwoparametermockthetafunctionsandrelatedapplications