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Second Order Mock Theta Functions

Canadian Mathematical Bulletin, 2007
AbstractIn his last letter to Hardy, Ramanujan defined 17 functions F(q), where |q| < 1. He called them mock theta functions, because as q radially approaches any point e2πir (r rational), there is a theta function Fr(q) with F(q) − Fr(q) = O(1). In this paper we establish the relationship between two families of mock theta functions.
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100 Years of mock theta functions

The Ramanujan Journal
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quantum q-series and mock theta functions

Research in the Mathematical Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Folsom, Amanda, Metacarpa, David
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Recent Work on Mock Theta Functions

2018
The work of Ramanujan has had a wide ranging impact in many branches of mathematics. Among many fields of research influenced by Ramanujan, few are as currently vibratingly active as the area of mock theta functions. In this chapter, we provide a brief and incomplete account of this activity.
George E. Andrews, Bruce C. Berndt
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Congruences for the coefficients of the Gordon and McIntosh mock theta function $$\xi (q)$$

Ramanujan Journal, 2021
Robson da Silva
exaly  

Bilateral Mock theta functions of order ``eleven''

The definition of a mock theta function goes back to the work of Ramanujan. Since then several authors have discovered various types of mock theta functions of different order. In this article, the authors obtain eight bilateral mock theta functions of order ``eleven'' as the limiting cases of basic hypergeometric series \(_{6}\Phi_{5}\).
Shukla, D. P., Ahmad, M.
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Congruences related to an eighth order mock theta function of Gordon and McIntosh

Journal of Mathematical Analysis and Applications, 2019
James Sellers, Robson da Silva
exaly  

Two identities on the mock theta function V0(q)

Journal of Mathematical Analysis and Applications, 2019
Renrong Mao
exaly  

Mock Theta Functions

2017
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Transformation Formula of the “Second” Order Mock Theta Function

Letters in Mathematical Physics, 2006
Kazuhiro Hikami
exaly