Haruspicy and non-D-finite functions

Andrew Rechnitzer

To appear at Formal Power Series and Algebraic Combinatorics (FPSAC01), Tempe, Arizona (USA), May 20-26, 2001


Abstract

Guttmann and Enting (1996) proposed the examination of the anisotropic generating function as a test of the solvability of models of bond animals. In this work we describe a technique for examining some properties of anisotropic generating functions. Using this technique we are able to prove that the anisotropic generating functions of self-avoiding polygons and directed bond animals are not D-finite functions.


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