FUNCTION : qseries[etaq] - Dedekind eta product CALLING SEQUENCE : etaq(q,a,T) PARAMETERS : q - variable a,T - positive integers SYNOPSIS : T etaq(q,a,T) returns the q-series expansion to O(q ) of the eta-product a a (q , q ) oo where is real or complex variable (with |q|<1) and a is a positive integer. The series is computed using Euler's pentagonal number theorem. EXAMPLES : > etaq(q,2,100); 80 52 30 14 4 2 10 24 44 70 - q + q - q + q - q + 1 - q + q - q + q - q ---------------------------------------------------------------------------- > series(%,q,100); 2 4 10 14 24 30 44 52 70 80 1 - q - q + q + q - q - q + q + q - q - q ---------------------------------------------------------------------------- SEE ALSO :