q-difference equations satisfied by the universal mock theta functions
Abstract
In this paper, we give fundamental solutions of some q-difference equations satisfied by the universal mock theta functions and the higher level Appell functions. As an application, we provide an alternative proof of the representation formulas of the universal mock theta functions and the higher level Appell functions using Zwegers' μ-function.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.