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arXiv · 0908.4007

Rank-Crank type PDE's for higher level Appell functions

Sander Zwegers
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Abstract

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.

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Sander Zwegers. 2009-08-27. Rank-Crank type PDE's for higher level Appell functions. https://arxiv.org/abs/0908.4007

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