Further results on Andrews--Yee's two identities for mock theta functions ω(z;q) and v(z;q)

2018/04/03 by Jin Wang, Wang, Jin, Xinrong Ma +1
Chemistry · Mathematics · #11P81 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Molecular spectroscopy and chirality #Primary 05A30 #Secondary 33D15

paper · pdf · doi:10.48550/arxiv.1804.00777

openalex publication_date 2018/04/03 · openalex created_date 2018/04/13 · openalex updated_date 2026/07/28

Abstract

In this paper, by the method of comparing coefficients and the inverse technique, we establish the corresponding variate forms of two identities of Andrews and Yee for mock theta functions, as well as a few allied but unusual q-series identities. Among includes a new Bailey pair from which a product formula of two ₂ϕ₁ series is derived. Further, we focus on two finite q-series summations arising from Andrews and Yee's mock theta function identities and expound some recurrence relations and transformation formulas behind them.

Related

• Generalizations of the Andrews-Yee identities associated with the mock theta functions ω(q) and ν(q)
• Transformation of Third Order Mock Theta Functions and New q-Series Identities
• Four identities related to third order mock theta functions
• Mock theta functions and related combinatorics
• New fifth and seventh order mock theta function identities