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

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

2009-08-27

arxiv.org/abs/0908.4007v1

Mathematics

Number Theory

Preprint, 10 pages

Scientific paper

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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