A Generalization of Zwegers' $\mu$-Function According to the $q$-Hermite-Weber Difference Equation

Genki Shibukawa, Satoshi Tsuchimi

We introduce a one parameter deformation of the Zwegers' $\mu$-function as the image of $q$-Borel and $q$-Laplace transformations of a fundamental solution for the $q$-Hermite-Weber…