satisfy q-functional equations, where q is the area variable. The behaviour

in the vicinity of the point where the perimeter generating function diverges

can often be described by a scaling function. We develop the method of qlinear

approximants in order to extract the approximate scaling behaviour of

polygon models when an exact solution is not known. We test the validity of

our method by approximating exactly solvable q-linear polygon models. This

leads to scaling functions for a number of q-linear polygon models, notably

generalized rectangles, Ferrers diagrams, and stacks.}, author = {Richard, Christoph and Guttmann, Anthony}, doi = {10.1088/0305-4470/34/23/301}, faupublication = {no}, journal = {Journal of Physics A: Mathematical and General}, pages = {4783-4796}, peerreviewed = {Yes}, title = {q-linear approximants: scaling functions for polygon models}, volume = {34}, year = {2001} }