Rank-Crank type PDE's for higher level Appell functions
Rank-Crank type PDE's for higher level Appell functions
In this paper we consider level l Appell functions, and find a partial differential equation for all odd l. For l=3 this recovers the Rank-Crank PDE, found by Atkin and Garvan, and for l=5 we get a similar PDE found by Garvan.