A solution in terms of mock modular forms for the $q$-Painlevé equation of the type $(A_2+A_1{)}^{(1)}$

Satoshi Tsuchimi

We present a solution of the $(A_2+A_1{)}^{(1)}$ $q$-Painlevé equation in terms of the $\mu$-function. The $\mu$-function introduced by Zwegers is the most fundamental object in the stud…