Berndt, Bruce C.Bruce C.BerndtDixit, AtulAtulDixitGupta, RajatRajatGupta2025-08-312025-08-312022-06-0110.1007/s10801-021-01082-22-s2.0-85117599296http://repository.iitgn.ac.in/handle/IITG2025/25112George Andrews and Ae Ja Yee recently established beautiful results involving bivariate generalizations of the third-order mock theta functions ω(q) and ν(q) , thereby extending their earlier results with the second author. Generalizing the Andrews–Yee identities for trivariate generalizations of these mock theta functions remained a mystery, as pointed out by Li and Yang in their recent work. We partially solve this problem and generalize these identities. Several new as well as well-known results are derived. For example, one of our two main theorems gives, as a corollary, a special case of Soon-Yi Kang’s three-variable reciprocity theorem. A relation between a new restricted overpartition function p^∗(n) and a weighted partition function p<inf>∗</inf>(n) is obtained from one of the special cases of our second theorem.trueAndrews–Yee identities | Partial theta function | Reciprocity theorem | Third-order mock theta functionsArticlehttp://export.arxiv.org/pdf/2101.11779157291921031-1062June 202222WOS:000710365200001