Document Zbl 1520.11050

New families of mock theta functions and partial fraction decomposition. (English) Zbl 1520.11050

Adv. Appl. Math. 138, Article ID 102347, 33 p. (2022).

The content of this paper covers the mock theta functions, partial fraction decomposition, the Appell-Lerch sums, and basic hypergeometric series. The author provides many properties and results on the mock theta functions. The author expresses these functions in term of Appell-Lerch sums by using partial fraction decomposition. The author gives many identities and relations including many families of two-parameter mock theta functions and Appell-Lerch sums.

Reviewer: Yilmaz Simsek (Antalya)

Cited in 2 Documents

MSC:

11F27	Theta series; Weil representation; theta correspondences
33D15	Basic hypergeometric functions in one variable, \({}_r\phi_s\)

Keywords:

mock theta functions; partial fraction decomposition; Appell-Lerch sums; basic hypergeometric series

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References:

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