{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:04:37Z","timestamp":1760234677628,"version":"build-2065373602"},"reference-count":34,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2021,5,28]],"date-time":"2021-05-28T00:00:00Z","timestamp":1622160000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In our present investigation, we develop two new Bailey lattices. We describe a number of q-multisums new forms with multiple variables for the basic hypergeometric series which arise as consequences of these two new Bailey lattices. As applications, two new transformations for basic hypergeometric by using the unit Bailey pair are derived. Besides it, we use this Bailey lattice to get some kind of mock theta functions. Our results are shown to be connected with several earlier works related to the field of our present investigation.<\/jats:p>","DOI":"10.3390\/sym13060958","type":"journal-article","created":{"date-parts":[[2021,5,27]],"date-time":"2021-05-27T23:16:46Z","timestamp":1622157406000},"page":"958","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Two New Bailey Lattices and Their Applications"],"prefix":"10.3390","volume":"13","author":[{"given":"Zeya","family":"Jia","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Huanghuai University, Zhumadian 463000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2427-2003","authenticated-orcid":false,"given":"Bilal","family":"Khan","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Shanghai Key Laboratory of PMMP, East China Normal University, 500 Dongchuan Road, Shanghai 200241, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Praveen","family":"Agarwal","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India"},{"name":"Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman AE 346, United Arab Emirates"},{"name":"International Center for Basic and Applied Sciences, Jaipur 302029, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qiuxia","family":"Hu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Luoyang Normal University, Luoyang 471000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinjing","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Huanghuai University, Zhumadian 463000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,5,28]]},"reference":[{"key":"ref_1","unstructured":"Rota, B.-C. 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